Pre Calculus
21,812 results, page 87

calculus help
Evaluate integral from 10 to 10 of ((2e^x)/(sinhx+coshx)dt) Show steps please Thanks! 
Calculus
Given f'(x)=9/2x(3x^2+2)^1/2 (this is the derivative of y= sqrt[(3x^2+2)^3]) , state any values of x for which the function is not differentiable 
Calculus
If f(x1)>f(x2) for every x1>x2, then what is the behaviour of f(x)? I believe that the answer is that f(x) is increasing but I do not know how to show my work for that 
Calculus
Please help I am stuck evaluate the following intergral x cos 15x dx. 
Calculus
Assume v(t) = 6t  18 on the interval [0, 6]. Find the total distance that the object traveled on [0, 6]. 
calculus 2
r=1 3Sin theta¸ find the area enclosed by the inner loop 
calculus 2
use the simpsons rule with n=10, arc length y=^3sqaure root x, for 1<=x<6 
calculus
Determine (6i+2j)· (i4j+k) This is a dot product question and each letter has the vector symbol 
calculus
For the vectors x=(0,6,5), y=(2,1,4) and z=(2,3,1) what is the value of (2x+y)·(3yz)? (dot product question and each letter is a vector) 
Calculus
Determine the exact values of the six trigonometric functions of the angle.(5,2) 
calculus
Find the slope of the tangent line to the curve (2x+4y)^1/2+(2xy)^1/2=13.4 at the point (6,5). 
calculus
Find the center of mass in the 1st quadrant of the circle x^2+y^2=4 where rho(x,y)=k(x^2+y^2) Thanks. 
calculus
can you find a sequence{an} such that {an} diverges, and the series of an converges? justify 
Calculus
1. If the tangent line to y=f(x) at (4,3) passed through the point (0,2), find f(4) and f'(4). My answer: f(4)=3 f'(4)=1/4 
calculus
Let \lambda be a positive real number. Evaluate \sin^{1}(\lambdai) 
calculus
Let f(x) = x ^3. The equation of the tangent line to f(x) at x = 3 is y= ?. Using this, we find our approximation for 2.7 ^3 is 
Calculus
2. For what values of x dies the graph of f(x)=2x^33x^26x+87 have a horizontal tangent? My answer: (1.6,77.9) (0.62, 89.1) 
calculus
Use l'hopital's Rule to evaluate lim x in 0 of (4x(cos 6x1 )) / sin 3x3x 
calculus
use L'Hopital's Rule to evaluate lim (4x(cos 8x1))/(sin 8x  8x) as x>0 
Calculus (PLEASE HELP ASAP!)
Find f(x) satisfying the given conditions: 1) f"(x) = 1/x^3 f'(1) = 1/2 f(1) = 0 2) f"'(x) = sin (x) f"(0) = 0 f'(0) = 1 f(0) = 0 
Calculus
h(t)= 16t^2 + v0t. How fast is the object moving after 5 seconds? 
Calculus
Find dy/dx if x^2+y^2=2xy A. x/(xy) B. (y+x)/(yx) C. 1 D. x/y E. None of these Do I equal it to 0 and use implicit rule? 
Calculus
Find the derivative for f(x)=x^2+x Do I put the x^2 as a denominator? How would I solve it if that's what I'm supposed to do? 
Calculus
For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x2)/(3x5) B. 2x/sqrt(x2) C. (2x^26x+1)/(1+x^2) D. (2x1)/(x^2+1) E. None of these 
AP calculus
Find values for x and/or y on the graph of x^22y^2+9x+8y276=0 for which there is a vertical tangent line 
Calculus
Find an equation of the tangent line to the graph of x^2+3y^2=4 at the point (1,1) A. y+1=1/3(x+1) B. y1=x/3y(x1) C. x+3y=2 D. y1=1/3(x1) E. None of these 
AP Calculus
Find all points on the graph of f(x)=x^3+3x^22 where there is a horizontal tangent line. 
AP Calculus
Find the derivative for f(x)=x^2+x Do I put x^2 on the denominator? How would I solve it if that's the case? 
AP Calculus
For which of these functions f(x) does limit as x approaches negative infinity f(x)=2 A. (x2)/(3x5) B. 2x/sqrt(x2) C. (2x^26x+1)/(1+x^2) D. (2x1)/(x^2+1) E. None of these 
Calculus
Find the limit as x approaches 1 5/(x1)^2 I don't understand how to solve it because there would be a 0 on the denominator. 
Calculus
consider the function f(x) = (x if x<1 (1/x if x>or equal to 1 Evaluate the definite integral: int_{2}^{3} f(x)\,dx = 
Calculus
How do I find the area of the region bounded by the graphs of the given equations? y=x+20; y=x^2 
Calculus
L'hopital's question below: lim x > 0 from the positive direction of ( 5^(sin(x))  1 )/ (x) 
Calculus
My question: An equation of the line tangent to the graph of f(x) = x(1  2x)3 at the point (1, –1) is?? My answer: y = –2x + 1 
Math (calculus)
If y = 2x^3  4x and dx/dt = 4, find dy/dt when x = 1. Please show me how to solve this problem with steps. 
calculus
Find a formula for a function that has vertical asymptotes at x=7 and x=9 and a horizontal asymptote at y=7 
Calculus
How would I answer this question? Differentiate the function f(x)=sqrt(cosxsinx) 
calculus
s= [b]*[d]+64t16t^2 what is the greatest height above the ground the rock will go 
calculus
given the velocity of a particle traveling along the yaxis by v(t)=tsin(t^2) 
calculus
Describe three situations in which you may want to know the projection of one vector onto another. 
calculus
Plot three points with first coordinate equal to (2.8) and join them 
Calculus 1
Find an equation of the tangent line to the curve y = 6/(1+e^−x)at the point (0,3). 
Calculus 1
Find an equation of the tangent line to the curve at the given point. y =(1+2x)^12, (0,1) 
Calculus 1
Use logarithmic differentiation to find the derivative of the function. y = x^(8cosx) 
Calculus 1
Use logarithmic differentiation to find the derivative of the function. y =sqrt(x)^3x 
Calculus
The normal (perpendicular) line to the curve y=sqrt(8x^2) at (2,2) has slope A. 2 B. 1/2 C. 1/2 D. 1 E. 1 I got A 
Calculus
if f'(x)=2(3x+5)^4 , then the fifth derivative of f(x) at x=5/3 is A. 0 B. 144 C. 1,296 D. 3,888 E. 7,776 I got A 
Calculus
If y=3x7, x is greater than 0, what is the minimum product of x^2y? A. 5.646 B. 0 C. 1.556 D. 2.813 E. 4.841 
Calculus check
An equation of the line tangent to y=sinx+2cosx at (pi/2, 1) is A. 2xy=pi1 B. 2x+y=pi+1 C. 2x2y=2pi D. 4x+2y=2pi I got A 
calculus check
If siny=cosx, then find dy/dx at the point (pi/2, pi) A. 1 B. 0 C. 1 D. pi/2 E. None of these I got C 
Integral Calculus
Find Mx, My, and (x, y) for the lamina of uniform density ρ bounded by y=1/2x ,y>0 x=2 
Calculus
1. integral (x^3 * sqrt(x^24)) dx I'm confused on how to start this problem, if I am doing trig substitution. 
Calculus
Show that there are at least two values of x in the interval (−π,π) such that x=1+sin(x) 
Calculus
Find the particular solution (solved for y) for the differential equation dy/dx=2x/e^(2y) satisfying y(0)=1. 
Calculus
Given f(x)=x^227x28, find the largest integer in shich f is decreasing. 
Calculus
The slope of the line normal to the curve e^x − x^3 + y^2 =10 at the point (0, 3) is ____ 
Calculus
at what time does this equation reaches 10000? show steps. thanks w(t)=(t10)(t20)+4500 
Calculus
On the closed interval, [0, 2*pi], find the absolute maximum of the function f(x)= sin^2(x) 
Calculus Partial Fraction
Sorry. The problem should have been: (x^2)/(x^38)(x2) 
calculus
how to find surface area of a cylinder with respect to r(radius) and h(height)? 
CALCULUS
20.) How do I find the zeros of the function algebraically? ex1) f(x)= x^3 4x^2 9x +36 ex3) f(x)= 3 +(5/x) ex7) f(x) = (2x^29)/ (3x) 
calculus
dont get it write intervals for the function sin(x)/1cos (x) is continuous on. 
calculus need help
use the first principle to obtain the differencial coefficient y=1/(2x1) 
Calculus/Math
lim ((12x)/(√1+x^2)1) x→∞ Find the value. 
calculus
solve the differential equation that satisfies the given condition: dy/dx=(ycos(x))/(6+y^2), y(0)=1 
HELP CALCULUS
Find dy/dx by implicit differentiation. tan−1(4x2y) = x + 3xy2 
Calculus
Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 + 2x+2 over [0,2]. I got 34/3. 
Calculus help plz
Using the first rule of derivative find 8(xy)12?? And how can i solve these y^x+x^y=17,x+y=5 
Calculus
Find an equation of the tangent line to the curve at the point (1, 1/e). y = (x^3)(e^−x) 
Calculus 1
Locate the absolute extrema of the function f(x)=Sinpix on the closed interval [1,1/3] 
Calculus
Find the area of the region between the graphs of f(x)=3x+8 and g(x)=x^2 +2x+2 over [0,2]. My answer: 34/3 
Calculus
Use integration by parts to evaluate the definite integral. S 12 x/sqrt of x+4 dx 0 
Calculus
Let f(x)=5x^(9/5)−45x^(4/5). Find the largest open interval(s) where f(x) increases. 
calculus
Find a cubic polynomial such as f(x)=ax^3+bx^2+cx+d that has horizontal tangents at the points (5,4) and (4,4) 
Calculus
Find a function of the form f(x)=a+bsqrtx that is tangent to the line 2y3x=5 at the point (1, 4) 
Calculus
How do I solve e^(ax) = Ce^(bx), when a does not equal b? I know the answer has something to do with natural log, and that a has to be connected to b and c, but I don't know what. 
Calculus
Implicit Differentiation: Find dy/dx for each. Leave answers in terms of both x and y. 1) 1/y + 1/x = 1 + y^2 2) (x^2 / y^2) 
Calculus
Using the definition of the derivative, find the equation of the tangent line to y=2x1/2 at (1/2,1) Thanks!! 
Calculus
Find the area of the region bounded by the graphs of y = x, y = −x + 4, and y = 0. 1 2 4 None of these 
calculus
The region bounded by y=x^2 and y=4 is rotated about the line y=1. Find the volume. 
Calculus
Determine the interval on which f(x) = ln(x) is integrable. (0, ‡) [0, ‡) (−‡, 0) U (0, ‡)(MY ANSWER) All reals 
Calculus
The function f(x) = x^3 + x an inverse. Compute f^1(0) and f^1(2). Hint: Do not try to evaluate f^1 explicitly. 
Calculus 1
Find the formula for a function of the form y=bxe^(ax) with a local maximum at (4,12)... 
calculus too hard help
if y=x^x^x^x... dy/dx=? plz show working thanks got no ideal at all 
calculus
rewrite each summation using the sigma notation. Do not evaluate the sums (a)3 + 4 + 5 + . . . + 93 + 94 (b)9 + 16 + 25 + 36 + . . . + 14 
calculus
Use implicit differentiation to find dy/dx if 384,000=30x^1/3y^2/3 . 
calculus
Find the area of the region bounded by the graph of f(x)=x(x+3)(x+1) and the xaxis on the interval [3,0] 
calculushelp.. .Me
if y=e^(kt)[Acosh(qt)+Bsinh(qt)] where A,B,q and k are constant show that d^2y/dt^2+2kdy/dt+(k^2q^2)y=0 step plz thanks 
calculus
What function should be used to minimize the distance between and the point (2, 0)? 
Calculus
If F(x)=f(g(x)h(x)), where g(3)=5, h(3)=4, g'(3)=3, h'(3)=1 and f'(1)=10, find F'(3). I know how to do derivatives and all, but I rlly can't figure this question out 
Calculus
State the domain and range of the function f(x) = 2sin(sqrt(3x1)) + 3 Why is this so difficult? 
calculus
plz help show me steps solution evaluate the integral §dx/[(x+1)root(1x^2)] 
Differential calculus with analytic geometry
use implicit differentiation to find dy/dx. xy^2+4y^3=x2y 
Calculus AB
Could someone please help me with this? Calculate the instantaneous rate of change of f <note: f(x)=(x6)/(x+6)> at x=6. 
Calculus
Find the points on the lemniscate, given below, where the tangent is horizontal 2(x^2 + y^2)^2 = 49(x^2 − y^2) 
Calculus
Evaluate the definite integral (low) (high) π/6 ∫ π/6 2sec(x)tan(x) dx 
Calculus
Find the values of c guaranteed by the mean value theorem for integrals. f(x)= x^3 [0,3] 
Calculus
For which pair of functions f(x) and g(x) below will the lim(x>infinity) f(x)g(x)≠0 a)f(x) = 10x + e^x; g(x) = (1/5x) b)f(x) = x^2; g(x) = e^4x c)f(x) = (Lnx)^3; g(x) = 1/x d)f(x) = √x; g(x) = e^x 
Calculus
Find all values of c that satisfy the Mean Value Theorem for f(x) = x^3 + 1 on [2, 4]. 
Calculus
Find the area of the region in the first quadrant between the curves y=x^8, and y=2x^2x^4