# find the derivative of y=(3x+1)^2 y= square root 13x^2-5x+8

97,722 questions, page 44
1. ## MATH

Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results. f(θ) = 8 sin(θ) − θ, (0, 0)

asked by Anonymous on February 13, 2012
2. ## Differential Calculus

Write the equation of lines tangent and normal to the following function at (0, π). To find derivative, use implicit differentiation. x^2cos^y - siny = 0

asked by Billy Bob on November 17, 2016
3. ## Calculus

(x^2+y^2)^2=16y Find all values of x where the tangent line is vertical I found the derivative and looked for where it was undefined but it didn't work

asked by Henry on October 10, 2015

if the line 3x-4y=0 is tangent in the first quadrant to the curve y=x^3+k, find k. all i know is that its related to finding a derivative and i m basically completely lost....can please someone provide me some help?????

asked by krishna on October 14, 2011
5. ## Calc Help

Find the 4th derivative of y=4x^3-(2/x). Reads: 4x to the third minus 2 divided by x. I will be happy to critique your thinking. We don't do homework or tests.

asked by Rob on March 7, 2007
6. ## Calculus

Find the x-coordinates of any relative extrema and inflection point(s) for the function f(x) = 3x^(1/3) + 6x^(4/3). You must justify your answer using an analysis of f '(x) and f "(x). I found the first and second derivative which i think is

asked by Tom on May 18, 2015
7. ## Calculus

Over what open interval does the formula F(x)= int from 0 to x of dt/t represent an anti derivative of f(x) =1/x? Find a point where the graph of F crosses the x axis.

asked by Kate on January 25, 2012
8. ## calculus

Find the derivative of the function 1)f(t)=tan(e^2t)+e^tan2t f'(t)= [im not quite sure with this. im assuming the implicit differentiation] 2) F(t)=e^(8tsin2t) [for this one i got 2e^(8t)(4sin(2t)+cos(2t)) but it is incorrect.

asked by michelle on October 8, 2012
9. ## AP calculus AB

How does Limit as delta x approaches 0 = 4x + 2deltax +1 simplify to 4x +1? I'm supposed to find the derivative using the limiting process orig equation: f(x) 2x^2+x-1

asked by Priya on October 1, 2011
10. ## tema senior high school

An open box is to be made using one metre square of cardboard .find the maximum value of the box given that it has a square base

asked by angela on November 2, 2015
11. ## Algebra

If the sides of a square are increased by 3 cm, its area becomes 100 cm2. Find the length of the sides of the original square.

asked by Anonymous on April 16, 2012
12. ## Physics

Four point masses are placed at the corner of a square of side 2m .find the centre of mass of the system w.r.t the centre of square?

asked by Varsha on September 17, 2017
13. ## Math

The net shown below forms a square pyramid. Find the surface area of the square pyramid. The numbers are 5, 5 and 4. How do I do this?

asked by Patrick-Ms Sue on March 27, 2017
14. ## algebra 2

find the value of c that makes each trinomial a perfect square. then write the trinomial as a prefect square. x^2-10x+c x^2+60x+c

asked by Reina Bonilla on December 13, 2014
15. ## Math

The cost of painting a square wall at rs 5per square meter is 320.find the area of wall

asked by ShaliniThakur on January 9, 2017
16. ## math

Square ABCD is incribed in Circle O. If the side of the square is 2 find the area of Circle O. a. pi b. 2 pi c. 4 pi d. 8 pi e. 16 pi please answer and explain

asked by thomas on April 23, 2014
17. ## math

if x = 5-2root 6 find the value of x square - 1/x square

asked by Aasher on June 24, 2016
18. ## Math

Hi could you please check my answers? Find the lateral of the square pyramid (I don't have a picture so I'll describe the figure) the square base is 8m around each side of the square and the slant height is 22m, my answer is 352 cm^2. Am I correct? Plz and

asked by Anonymous :D on May 10, 2016
19. ## Math Puzzler For Ken and BobPursley

Below is the original question and emailed response from my friend, Dr Ford, a theoretical physicist at Tufts University in Boston. Question: We have a normal watch. The big hand is 4cm long and the little hand is 3cm long. What's the distance between the

asked by Lance on November 19, 2006
20. ## geometry

Find the length of a side of a square whose perimeter and area have the same value. help? perimeter of a square is P=4s & the area of a square is A=s^2

asked by jaz on September 25, 2011
21. ## Algebra2

The perimeter of a square is 12 cm greater than that of another square. It's area exceeds the area of the other by 39 cm^2. Find the perimeter of each square.

asked by Tim on September 10, 2013
22. ## Calculus

find the intervals on which f is increasing and decreasing f(x)=(x-2)/(X^2-x+1)^2 I found the derivative a got a whole mess of things: ((x^2-x+1)^2-2(x^2-x+1)(2x-1)(x-2))/(x^2-x+1)^4 Do I have to use the quadratic formula to solve for the vertices to find

23. ## calculus

the base of a solid is the region between the curve y=2 square root of sin x and the interval [0,pi] on the x-axis. the cross-sections perpendicular to the x-axis are equilateral triangles with bases running from the x-axis to the curve as shown in the

asked by diny on February 25, 2012
24. ## Calculus

An isosceles triangle has a vertex at the origin. Determine the area of the largest such triangle that is bound by the function x^2 + 6y = 48. So, y=8 when x=0 making a vertical side equal to 8. I also determined that there is a zero at =/- the square root

asked by Jeff on March 20, 2010
25. ## physics

A gas molecule at the surface of the earth happens to have the root mean square speed (rms)for that gas at 0°C.lf it were to go straight up without colliding with other molecules.How high would it rise and what would happen to the maximum height reached

asked by takunda on November 11, 2014
26. ## Trigonometry

these values right? tan theta=2/3 sec theta=Squareroot(13)/3 sine=2xSquareroot(13)/13 Cos=3xSquareroot(13)/13 Tan=2/3 Cosecant=Square root (13)/2 Secant=Squareroot(3)/3 Cotangent=3/2

asked by Nick on January 10, 2010
27. ## Algebra 2

Given the area of the figure, find its perimeter to the nearest tenth. 1. A = 90 ft^2; number of squares: 6. A: ? 2. A baseball diamond is a square with an area of 8100 square feet. The length of the diagonal of any square is equal to √2 times it's side

asked by Victoria on September 2, 2014
28. ## Physics

A string with a linear density of 0.035 kg/m and a mass of 0.014 kg is clamped at both ends. Under what tension in the string will it have a fundamental frequency of 100 Hz? The correct answer is 270N but I don't know how to get there. Here are some of the

asked by Tina on July 13, 2011
29. ## MATH 12

The total surface area of a square-based open top rectangular box is 12 square units. Find the dimensions of the box such that the volume is the maximum.

asked by BIINWEI on April 28, 2014
30. ## Physics1

Four point charges are placed at the four corners of a square. Each side of the square has a length L. Find the magnitude of the electric force onq2 due to all three charges q1, q3 and q4 for L = 1 m and all q = 1.55 C. Answer in units of N

asked by jc on February 12, 2012
31. ## pre calculus

The base of an Isosceles triangle is half as long as the two equal sides. Write the area of the triangle as a function of the length of the base. the answer is: A=a^2times the square root of 15 ------------------------------ 4 How did they get this answer?

asked by Acorn on September 1, 2008
32. ## Quantitative Analysis

The "standard deviation of the sample score" divided by the "square root of the sample size" is the formula for computing the ...? A. Coefficiant of Determination B. Absolute Deviation C. Variance D. Standard Error

asked by Stacie on November 6, 2013
33. ## math! help please wont take long

find the value of K so that 3x^2-6x+k=0 has a double root answer is 3. how do you find that

asked by matt on March 6, 2012
34. ## math

the area of an equilateral triangle is given by the expression s^2 x square root of 3/4, where s is the side length of the triangle. what is the area of the triangle? round to the nearest tenth the triangle is 5 cm on all three sides.

asked by math on December 26, 2014
35. ## Math

A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x, y) represents the location of any point on the original square, which ordered pair

asked by Lil Star on April 9, 2019
36. ## Calculus

The point (1,-2) is on the graph of y^2-x^2+2x=5. Find the value of (dy/dx) and (d^2y/dx^2) at the point (1,-2). How do I find (d^2y/dx^2)? I found. I found (dy/dx) to be 2y(dy/dx)-2x+2=0, but I don't know how to take the derivative of that to

asked by W on October 18, 2011
37. ## Math 6b

Estimate the sum of a circle with a radius of 27m. Use (22 over 7) for pie A(258 square meters B(1125 square meters C(2291 square meters D(5253 square meters I think C. Thank you

38. ## Calculus

find the intervals on which f(x) is increasing and decreasing along with the local extrema. f(x)=x^4 + 18x^2 I took the derivative and got: f'(x)= 4x^3 + 36x When I set this to zero, I get the imaginary number 3i. I can't get test values for an imaginary

asked by Leah on November 3, 2014
39. ## chemistry

What is the root mean square speed of argon gas at 300 K? 1. 4.33 × 102 m/s 2. 1.37 × 101 m/s 3. 3.96 × 102 m/s 4. 4.30 × 101 m/s 5. 5.92 × 102 m/s

asked by Anonymous on May 1, 2015
40. ## vector

the imaginary i or j which is equivalent to square root of -1 has a phase difference of ____ with real number 1. what's the answer? choices are: a.)0 degrees, along or within the force b.)90 degrees c.)360 degrees, one complete revolution d.)180 degrees

asked by reece on August 26, 2015
41. ## is (-2x)^-3 3 root of -2x?

im confused because i wasnt sure if the step after (-2x)-3 would be 1/-8x3 or 3 root of -2x. I remember my teacher talking about how -3 is 1/3 and 3 becomes the root but also at the same time I remember her doing a weird calculation

asked by ramen96 on December 16, 2016
42. ## Honors Algebra 3-4

can the cubed root of 15x^2, over 3 be simplified any more. (original problem: cubed root of 5/3x) the directions were to rationalize the denominator of each expression. Thankss!!!!!

asked by Rachel on January 24, 2012
43. ## Calculus I

An open box with square base is to be constructed. The material for the base costs \$10 per square foot. The material for the sides costs \$1 per square foot. the box must have an area of 100 square feet. Find the dimensions of the box that minimize cost.

asked by Brian on November 28, 2014
44. ## Math (Algebra 1)

ok, we are learning about simplifying radical equations and I am really confused about. Please help me. This is one of the problems in my book: Sorry but my computer does not have the root sign root sign and then under it 4n^3 (to the power of three. Do

asked by MissyQ on January 6, 2009
45. ## Algebra

Mary creates a table of values for a function and plots the points. She finds that the difference in the y values is the same. What kind of function did she graph? How can you tell if a graph is linear, quadratic, exponential or square root?

asked by Emma on June 28, 2014
46. ## Statistics

S2Within" equals: - the sum of squares within each group - the square root of the standard within-group deviations from the mean - the squared variance within groups - the population variance estimate based on the variation within each of the groups.

asked by Trey on October 11, 2009
47. ## Algebra

if you are looking at the horizon, you can determine the distance you are form the horizone in miles. D, form a height, h, in feet by the equation of D = 1.2 square root H. if you are standing on a mountain top that is 12,000 feet in elevation, how far are

asked by Jessie on August 20, 2014
48. ## Calc Repost

Express the function in the form f o g. G(x)= The cube root of (x/1+x) So, (f 0 g)(x)= f(g(x))= f(cube root of x/1+x)= I don't know how to finish the problem because it does not give you the information for F(x)???

asked by Chelsea on September 20, 2010
49. ## Calculus

Express the function in the form f o g. G(x)= The cube root of (x/1+x) So, (f 0 g)(x)= f(g(x))= f(cube root of x/1+x)= I don't know how to finish the problem because it does not give you the information for F(x)???

asked by Chelsea on September 19, 2010
50. ## Algebra joint, inverse and direct variation

Urgent! If t varies inversely as the cube of z and directly as the square of r, and t=4 when z=3 and r=6, find t when z=6 and r=9. T= k (square) r/(cubed) z 4=k (square) 6/ (cubed) 3 The electrical conductance of a wire varies directly as the square of its

asked by George Smith on February 20, 2016
51. ## Math (Calculus Optimization)

An oil field contains 8 wells, which produce a total of 1600 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 10 barrels per day. How many additional wells should be drilled to obtain the

asked by Sophia on June 27, 2017
52. ## physics SHM

A particle is moving with SHM of period 16s and amplitude 10m. Find the speed of the particle when it is 6.0m from its equilibrium position. First I found the value of w: w= 2 pi/ T = 2 pie/ 16 =0.393 s^-1 Then I used: v= +/- w root a^2 - x^2 = +/- 0.393

asked by Claire on December 28, 2007
53. ## Math - Trigonometry

Find the value of x on this right triangle when a=20 b=5x-10 and c=2x(Square root of 5) A. x = 15 B. x = 10 C. x = 12 D. x = 16 A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the incline is the top of the wheel after the

asked by Anonymous on July 17, 2012
54. ## Math - Trigonometry

Find the value of x on this right triangle when a=20 b=5x-10 and c=2x(Square root of 5) A. x = 15 B. x = 10 C. x = 12 D. x = 16 A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the incline is the top of the wheel after the

asked by Anonymous on July 17, 2012
55. ## Trigonometry

Find the value of x on this right triangle when a=20 b=5x-10 and c=2x(Square root of 5) A. x = 15 B. x = 10 C. x = 12 D. x = 16 A wheel 5.00 ft in diameter rolls up a 15.0° incline. How far above the base of the incline is the top of the wheel after the

asked by Anonymous on July 18, 2012
56. ## Calc: Limits

how to calculate the limit: *I got confused especially with the square root. 1. lim as x approaches 2 (squareroot x^2 +5)-3 / (x-2) 2. lim as θ (theta) approaches zero (tan^2 (5θ) / (sin (3θ) sin (2θ) )

asked by A on January 29, 2018
57. ## math/calculus

find f"(x) if f(x)= cube root(x^2-2x+1)

asked by Angie on December 20, 2011
58. ## pre- calculus

how do you find the root(s) of the equation x^2+3x-4=0

asked by Anonymous on October 13, 2007
59. ## integrated algebra

Find the positive root of 2x^2-5x-5=0

asked by Starsky on February 27, 2009
60. ## math

Find the value of K so that x^2-5x+k=0 has one root equal to 4.

asked by Math on October 29, 2016
61. ## math

Find the root of each question 1. 1/3 (2w-6)= -10 2. 3a-7 = 4a + 5 4 3 3. 3k - k+3 = 8 - k+2 2 3 4 PLEASE HELP !!!

asked by bev on October 27, 2009
62. ## Precal

How do you find the 6th root of -i?

asked by Sara on December 11, 2008
63. ## Algebra

If 6 is a root of the equation x^2-8x+k=0, find the value of k.

asked by Melinda on September 11, 2014
64. ## math

0 = x (x - 6.19) (x - s) if you have that, and you wanna find that last zero (root) how do you do it?

asked by HelpPLZisu! on April 24, 2010
65. ## Equation find x xo tricky

X^x(root(x)=(xroot(x)^x???? Find x

asked by Collins on September 30, 2015
66. ## PHYSICS HELP!

The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -5 x 10-9 C placed at corner A and then at

asked by Sarah on March 20, 2013
67. ## Physics

The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -5 x 10-9 C placed at corner A and then at

asked by Anonymous on February 10, 2013
68. ## physics

The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -4.35 10-8 C placed at corner A and then

asked by Natasha on July 4, 2012
69. ## Physics

The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -5 x 10-9 C placed at corner A and then at

asked by Sarah on March 20, 2013
70. ## Physics

The drawing shows a square, each side of which has a length of L = 0.25 m. Two different positive charges q1 and q2 are fixed at the corners of the square. Find the electric potential energy of a third charge q3 = -7.00 10-9 C placed at corner A and then

asked by Anne on January 30, 2012
71. ## Geometry

Points X, Y, and Z are on sides AB, BC, and CD, respectively, of square ABCD. Let O be the intersection of the diagonals of ABCD. Segments XO , YO, and ZO divide the square into three parts with equal areas. If Y is the midpoint of BC,find AX/XB. I'm not

asked by Rahi on January 11, 2017
72. ## Math

Given the function q=D(x)=k/x^n where k is a positive constant and n is an integer greater than 0. (a) How would you find the elasticity of the demand function (b) Is the value of the elasticity dependent on the price per unit c.) Does the total revenue

asked by Ebian on October 28, 2014
73. ## math

PLEASE HELP A rectangular hot tub is 6 feet long and 5 feet wide.A walkway 3 feet wide surrounds the hot tub.Find the area of the walkway A:30 square feet B:65 square feet C:102 square feet D:132 square feet

asked by Devyn on March 30, 2017
74. ## math

I don't understand this question so if you don't mind will you help me by showing work so I can understand. Monica has a backyard in the shape of a square. Which of the following is a possible are of the yard? A)32 square feet B)99 square feet C)64 square

asked by sherkyra on September 14, 2010
75. ## math

the square of the sum of two consecutive positive even integer is greater than the sum of their square by 48. Find two integers.

asked by Anonymous on September 28, 2015
76. ## Math

The area of a square is 16cmsq. Find the area of the square joining the mid pt. Of its side. Gv me sltn

asked by Simran kaur on September 12, 2012
77. ## Math

Find the difference between the perimeter of a square of area 1 centimeter square and the circumference of a circle of the same area.

asked by Emily on March 20, 2013
78. ## Math

Two perpendicular diamters(cutting each other at right angles) of a circle cut the circumference at four(4) points. A square is formed by joining the 4 points. If the circumference of the circle is 132cm, find the area of the square. so right here they

asked by Cindy on April 13, 2007
79. ## Grade 12 Data Management math

I'm doing math through correspondence so material is not explained very well. I would appreciate if someone could explain this to me. This lesson is review of set theory and first degree equations. Indicate whether each of the following statements is true

asked by Alicia on March 24, 2011
80. ## Math

I'm doing math through correspondence so material is not explained very well. I would appreciate if someone could explain this to me. This lesson is review of set theory and first degree equations. Indicate whether each of the following statements is true

asked by Alicia on March 24, 2011
81. ## maths

(Write the following expressions using numbers,parentheses and other mathematical symbols. You do not need to colculate the results) A)Double the sum of twenty-five and eight. B)The quotient of fifteen and three subtracted from the product of four and

asked by Anonymous on February 24, 2011
82. ## Calculus

Find the range of y = (3x-1)/(2x^2 + x - 6) I was going to take the derivative of the numerator and denomenator and then use the quotent rule to find the derivative of the function and find the critical values but I ran into the imaginary number during the

asked by Kate on July 25, 2010
83. ## Math

For nth root functions, I know that if "n" is even, then the domain must be equal or greater than zero. If "n" is odd, then domain will be all set of real numbers. But how do I determine the range of an n-th root function?

asked by ela on September 29, 2015
84. ## Finance

how do you take the fourth root? Please refer to the example below? Using Amount = Present Value(1+i)^n we do not know i. 249=183(1+i)^4 1.3606557=(1+i)^4 take the fourth root 1.0800331=1+i giving you i=0.0080031 so the annual rate is 8%

asked by Albert on July 17, 2007
85. ## math-calc

Two sides of a triangle have constant lengths a and b, and the angle between them is theta. What value of theta will maximize the area of the triangle? so far i have the formula and the derivative. A=.5absin(theta) A'=.5abcos(theta) then i set the

asked by Nathaniel on October 26, 2008
86. ## Calculus

Two sides of a triangle have constant lengths a and b, and the angle between them is theta. What value of theta will maximize the area of the triangle? so far i have the formula and the derivative. A=.5absin(theta) A'=.5abcos(theta) then i set the

asked by Nathaniel on October 26, 2008
87. ## math

If you put four 9-inch square boards together to make a bigger square, what would be the area of the new larger board in square feet?

asked by jason on January 12, 2011
88. ## math

If you put four 9-inch square boards together to make a bigger square, what would be the area of the new larger board in square feet?

asked by jason on January 12, 2011
89. ## math

If you put four 9-inch square boards together to make a bigger square, what would be the area of the new larger board in square feet?

asked by jason on January 12, 2011
90. ## Math

Victoria wants to plant a vegetable garden in the shape of a square. She has a space allocated in her backyard that will accommodate 175 square feet. Using the drawing below, use the FOIL method to find the polynomial that represents the area of the

asked by Teresa on February 25, 2014
91. ## Algebra

Victoria wants to plant a vegetable garden in the shape of a square. She has a space allocated in her backyard that will accommodate 175 square feet. Using the drawing below, use the FOIL method to find the polynomial that represents the area of the

asked by Teresa on February 25, 2014
92. ## physics

Given that x=Acos(wt) is a sinusoidal function of time, show that v(velocity) and a(acceleration) are also sinusoidal functions of time. (HINT: Use v=square root [(k/m)(A^2-x^2)] and a=(-k/m)X The hint tells you what to do: put Acoswt for X. A second way

asked by steph on March 15, 2007
93. ## math

write as a single logarithm: -2logbase3(1/x)+(1/3)logbase3(square root of x) please show the steps to solving this. thanx. remember that 1 log (AxB) = log A + Log B (same base) 2 log (A/B) = log A - log B 3 log A^n = n log A use these three rules and it

asked by michelle on February 25, 2007
94. ## Math 117

Use rational exponent to write 4 cube root x multiply by 6 cube root 6x as a single radical expresion.

asked by Joseph on February 12, 2012
95. ## Math 117

Use rational exponent to write 4 cube root x multiply by 6 cube root 6x as a single radical expresion.

asked by Joseph on February 12, 2012
96. ## algebra

I am trying to rationalize a denominator and it is a squre root, like this : squre root of x+1 , i don't know what to do ,cause it isn't just a number it is the whole expression. plz help

asked by Maya on August 6, 2016
97. ## math

Hi, i would like to know how would i write a standard form equation of each ellipse vertices : (-6,18),(-6,-8) foci: (-6,5+ sq root 165),(-6,5-sq root 165)

asked by marlene on May 10, 2016
98. ## Precalculus

Let a and b be real numbers. The complex number 4 - 5i is a root of the quadratic z^2 + (a + 8i) z + (-39 + bi) = 0. What is the other root? I tried working this problem and so far I got that (a+8i) - (4-5i)= (-39-bi)/(4-5i). Im not sure how to solve this