If z^2 = x^2 + y^2 with z>0, dx/dt=3, and dy/dt=6, find dz/dt when x=4 and y=3. Answer: \displaystyle \frac{dz}{dt} =
91,466 results
Math
Find 30% of 70. a. 40 b. 21 *** c. 2.1 d. 0.4 Find 20% of 55. a. 22 b. 11 *** c. 35 d. 30 Find 12% of 200. a. 22 b. 24 *** c. 34 d. 40 What is the best estimate of 42% of 756? a. 320 *** b. 240 c. 400 d. 420 Find 11% of 400. a. 46 b. 40.6 c. 50.6 *** d. 56

Computer
1: A thesaurus is best used to ________. A Help find the meaning or a word b help find a word that means the same or a similar definition as another word c help find the spelling of a word d help find the pronunciation of a word 2: Using a synonyms can

Algebra
For each of the following equations. Find the coordinates of the vertex of the curve it describes. Find the x− intercepts. Find the y− intercept. Find the equation of the line of symmetry. Use all this information to sketch the graph of the function. y

Statistics
Solve the following problems by using the binomial formula. a. If n = 4 and p = .10 , find P(x = 3) . b. If n = 7 and p = .80 , find P(x = 4) . c. If n = 10 and p = .60 , find P(x ¡Ý 7) . d. If n = 12 and p = .45 , find P(5 ¡Ü x ¡Ü 7) .

Math
Using the expression 56xy + 5 6x + y/20,find the following: a. Find two sums. b. find the terms of the expression. c. find a product of two factors. Find the coefficient in the product. d. Find the quotient. This is to hard. Where do I start?

geometry
Triangle PQR has vertices P(1,2), Q(25,2) and R(10,20). Find the coordinates of the centroid. Find the coordinates of the circumcenter. Find the coordinates of the orthocenter. Find the equation of the line.

Calculus
F(x) = x^5 ln x A) Find the interval on which f is increasing Find the interval on which f is decreasing B) Find the local minimum value of f C) find the inflection point (x,y) Find the interval in which f is concave up Find the interval in which f is

math
A gallup poll of 1236 adults showed that 14% believe that bad luck follows if your path is crossed by a black cat, so n=1236 and p=0.14 1.Find the mean? 2.Find the standard deviation? 3.Find the ND (np > 5 and nq > 5 ?) 4.Find the min, max of usual values

Calculus
Given the function: f(x) = x^2 + 1 / x^2  9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show

MATH
We now have d dx [x5 + y8] = 5x4 + 8y7y' = d dx [9] = 0. Rearranging this, we get 8y7y' = ??????????  A table of values for f, g, f ', and g' is given. x f(x) g(x) f '(x) g'(x) 1 3 2 4 6 2 1 8 5 7 3 7 2 7 9 (a) If h(x)

Math Analysis
4. Find f(x) + g(x) when f(x) = x^(1/2) and g(x) = 6x^(1/2). ===> I got the square root of 7x. Is this right? 16. Find f(x)/g(x) when f(x) = (2x)^(1/2) and g(x) = 2*(sqrt2)*x^(1/3). ===> I got (sqrt2x) / (3*cubertx), but I definitely don't think this is

calculus
5. Find the equation of the tangent line to the graph of f(a) = sec(a) at the point (0, 1) 6. Differentiate y = sin(x)tan(x). 7. Find f '(x) for f(x) = sin(x)cot(x). 8. Find the derivative of the function f(x) = cos^2(x) + tan^2(x) 9. Find f '(x) for

Calculus
Let h(x)= x^3 + 4x 2. Let g(x) represent the inverse of h(x). Find g(14). I know that if (a, f(a)) is on h(x), then (f(a), a) will be on g(x). I also know that if f^1(a)=b if f(b)=a. I thought that if I could find the x value(s) at which h(x)=14, I would

Algebra1
Please let me know if these are correct. 1. Find: 10% of 30 3 2. Find: 10% of 100 10 3. Find: 20% of 50 10 4. Find: 20% of 100 20 5. Find: 50% of 50 25 6. Find: 150% of 300 450 7. Find: 15% of 56 8.4 8. Find: 27% of 92 24.84 9. Find: 32.8% of 106 34.768

maths
For the following graph: a. Find the domain of f. b. Find the range of f. c. Find the xintercepts. d. Find the yintercept. e. Find the intervals over which f is increasing. f. Find the intervals over which f is decreasing. g. Find the intervals over

probability
The random variables X and Y have the joint PMF pX,Y(x,y)={c⋅(x+y)2,0,if x∈{1,2,4} and y∈{1,3},otherwise. All answers in this problem should be numerical. Find the value of the constant c. c= Find P(Y

math
The heights in inches of 18 randomly selected adult males in LA are listed as: 70, 69, 72, 57, 70, 66, 69, 73, 80, 68, 71, 68, 72, 67, 58, 74, 81, 72. Display the data in a stemandleaf plot. 1. Find the mean. 2. Find the median. 3. Find the mode. 4. Find

Math Compound Interest
If $500 is invested at an interest rate of 4.5% per year, find the amount of the investment at the end of 11 years for the following compounding methods. (Round your answers to the nearest cent.) Find a, Anually Find b, SemiAnually Find c, Quarterly Find

physics (3 separate questions)
1. The motion of a body is described by the equation ay = −308y. (a) Find the angular frequency. (b) Find the frequency. (c) Find the period. 2. A 2.10 kg mass attached to a spring oscillates with a period of 0.395 s and an amplitude of 20.5 cm. (a) Find

math homework
Distance Rate Time in Math if x=yz, find the value x given that y=2 and z=5 Given T=RV, find Rif T=4 and V=8 Given w=xyz find w if x=2,y=3 and z=6 If C=ab, find Cif a=0.65 and b=1.9

Statistics and Probability
The following table shows the density of the random variable X. x 1 2 3 4 5 6 7 p(x) 0.03 0.01 0.04 0.3 0.3 0.1 0.01 8 ? A. Find P(8) B. Find P(3 ¡Ü X ¡Ü 5) C. Find P(X ¡Ü 4) and P (X < 4). Are the probalities the same? D. Find F(3)and F(10)

maath
The accompanying tree diagram represents a twostage experiment. (Let x = 0.45, y = 0.55, r = 0.65, s = 0.35, t = 0.4, and w = 0.6.) Use the diagram to find the following probabilities. (Round your answers to three decimal places.) (a) Find P(A) · P(D 

Probability
The joint PMF, pX,Y(x,y), of the random variables X and Y is given by the following table: (see: the science of uncertainty) 1. Find the value of the constant c. c = 0.03571428571428571428 2. Find pX(1). pX(1)= 1/2 3. Consider the random variable Z=X2Y3.

geometry
Basic Geometry 1. Find the perimeter of a rectangle 19 cm long by 27.8 cm wide. 2. In triangle ABC, angle A = 47°, and angle B = 8°. Find angle C. 3. Find the perimeter of a triangle with sides of length 28 cm, 47 cm and 19 cm. 4. In triangle FGH, angle

Algebra 8th
Find the greatest possible error for each measurement. 953 mi 0.5 mi Find the greatest possible error for each measurement. 1 3/4 c not 1/4 c Find the greatest possible error for each measurement. 12.3 L 0.05L Find the greatest possible error for each

help please!
f(x)=x+1/x Find all critical numbers. Find where the function is increasing and decreasing. Find critical points and identify each as a relative maximum, relative minimum, or neither. Find second order critical numbers and tell where the graph is concave

Trignometry
Given Triangle ABC: I think there are suppose to be right triangles... 1) If

Statistics
The heights in inches of 14 randomly selected adult males in LA are listed as: 71, 67, 70, 59, 71, 68, 67, 71, 80, 68, 74, 69, 72, 68. 1. Display the data in a stemandleaf plot. 2. Find the mean. 3. Find the median. 4. Find the mode. 5. Find the range.

statistics
The heights in inches of 14 randomly selected adult males in LA are listed as: 71, 67, 70, 59, 71, 68, 67, 71, 80, 68, 74, 69, 72, 68. 1. Display the data in a stemandleaf plot. 2. Find the mean. 3. Find the median. 4. Find the mode. 5. Find the range.

Calculus
Given the function: f(x) = x^2 + 1 / x^2  9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any inflection points Please show

Algebra1
Please check these 15. Simplify the product using FOIL: (4x+3)(2x+5) 6x^2 + 26x + 15 16. Given the set of data 2, 6, 3, 8, 5, 4, 2, what is the mean? 4.28 41. Find 60.5% of 8,125. 4,915.625 54. Find 45% of 125 56.25 68. Evaluate: (5.0 x 10^3) x (4.0 x

math
Let equation of an hyperbola be y^24x^2+4y+24x41=0 a. Find the standard form b. Find the center c. Find the vertices d. Find the foci e. Find the slant asymptotes

math
For the following pair of functions, f(x)x+2, g(x)√x1 find each of the following and state its domain: a.) find (f+g)(x) b.)find (fg) (x) c.) find (fg)(x) d.) find (ff)(x) e.)Find (f/g)(x)

Trignometry
1) If

precalculus
R(x)=x^2+x6 ________ x3 1. find the domain and yintercepts 2. find the xintercepts 3. find the real solution of the equation 4. find the horizontal or oblique asymptotes 5. find the xaxis 6. plot the points

Math
Please help me I am terrible at math, and this is my last class before graduation.. 1. Find the value of X... x/6x/8=1 2. Find the value of X...x/x2x+1/x=8/x^22x 3. Find the value of X...5/x+6+2/x^2+7x+6=3/X+1 4.Find the value of X...2/5=x2/20 find

Calculus
Given the function: f(x) = x^2 + 1 / x^2  9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative Please show me how u got this!!

math
let equation of an ellipse be x^2+4y^2+6x8y+9=0 a. Find the standard form of the ellipse b. Find the center c. Find the vertices d. Find the foci e. Find the eccentricity

PreCalc
QP is (x y) = (3 1) + r (14 10) QR is (x y) = (3 1) + s (17 9) PR is (x y) = (0 18) + t (5 7) where r, s, and t are scalars. 1. Use vector methods to find the coordinates of P, Q, and R. 2. Find vectors PQ and PR and evaluate PQ*PR 3. Find size of QPR

physics
i need help sovling for these variables(i know that i am supposed to solve usign opposite operartion but i keep getign most of them wrong. A= 1/2 (a+b)h find a A= 1/2 (a+b)h find h T= squareroot I find I V= 4/3pier^2 find r

PreCalc
QP is (x y) = (3 1) + r (14 10) QR is (x y) = (3 1) + s (17 9) PR is (x y) = (0 18) + t (5 7) where r, s, and t are scalars. 1. Use vector methods to find the coordinates of P, Q, and R. 2. Find vectors PQ and PR and evaluate PQ*PR 3. Find size of QPR

Phyisics
i need help sovling for these variables(i know that i am supposed to solve usign opposite operartion but i keep getign most of them wrong. A= 1/2 (a+b)h find a A= 1/2 (a+b)h find h T= squareroot I find I V= 4/3pier^2 find r

Physics
i need help sovling for these variables(i know that i am supposed to solve usign opposite operartion but i keep getign most of them wrong. A= 1/2 (a+b)h find a A= 1/2 (a+b)h find h T= squareroot I find I V= 4/3pier^2 find r

Algebra
Hello, I've been having trouble on the following question: We let g(x) = ⌊x⌊x⌋⌋ for x >= 0. i. Find all x >= 0 so that g(x) = 1. ii. Find all x >= 0 so that g(x) = 3. iii. Find all x >= 0 so that g(x) = 5. iv. Find the number of possible values of

Honors PreCal
We're reviewing and I forgot how to do this. Given y=x24+3 (x2 is x squared) a)write in standard from b)find vertex c)find equation of the axis of symmetry d)find the xintercepts e)find the yintercept

Algebra please help!!
Find the number of terms in each sequence. 1. 2,6, 18,54,,,,,4374 Find the common ratio r and the value of a1 using the information given. (assume r >0) 2.a3=324, a7=64 Find the indicated sum. 3. a1=2, r=3; find s8 4. E like symbol with a 10 on top. On

Algebra please help!!
Find the number of terms in each sequence. 1. 2,6, 18,54,,,,,4374 Find the common ratio r and the value of a1 using the information given. (assume r >0) 2.a3=324, a7=64 Find the indicated sum. 3. a1=2, r=3; find s8 4. E like symbol with a 10 on top. On

algebra
Find the number of terms in each sequence. 1. 2,6, 18,54,,,,,4374 Find the common ratio r and the value of a1 using the information given. (assume r >0) 2.a3=324, a7=64 Find the indicated sum. 3. a1=2, r=3; find s8 4. E like symbol with a 10 on top. On

Algebra please help!!
Find the number of terms in each sequence. 1. 2,6, 18,54,,,,,4374 Find the common ratio r and the value of a1 using the information given. (assume r >0) 2.a3=324, a7=64 Find the indicated sum. 3. a1=2, r=3; find s8 4. E like symbol with a 10 on top. On

consumer math
2. Use the monthly payment table and this table to answer the following questions. Loan APR Years Monthly Payment Total Payment Interest $6,700 13.5% 5 A B C $8,720 12.5% 15 D E F $20,230 11.5% 20 G H I Find A. (Points : 1) 3. Find B. (Points : 1) 4. Find

Probability
Let Y be a Normal RV with mean 7 and standard devi ation 4. a. Find P (Y = 7). b. Find P (Y < 5). c. Find P (Y ≥ 10). d. Find P (Y < 0). e. Find E[Y].

Math
find f'(x) find the slope of the graph of f a x=2 and x=4 find the equations of the tangent lines at x=2 and x=4 and find the value(s) of x where the tangent line is horizontal. f(x)=2x^2+8x I found that f'(x)=4x+8 and that the slopes were 16 and 24 and

Physics
Can someone please help me with this physics question? I have most parts of the question answered already. (i only need help with b and c). Thanks The motion of a body is described by the equation 3.50 sin (0.100ðt)where t is in s and y is in m. (a) Find

Trigonometry
Given Triangle ABC: Right Triangles 1. If a = 6 and

MATH!!!
Consider the following where s is in feet and t is in seconds. s(t) = t3 + 4t2 + 6t + 4 (a) Find v(t). v(t) = (b) Find a(t). a(t) = (c) Find v(3). (d) Find a(3). see above. Please stop posting under different names. WHAT?!!

Maths
Let f(x)= x^55x+3 1Find f'(x) and f"(x). 2Find the intervals on which f(x) is increasing or decreasing. 3Find the local maximum and minimum of f(x), if any. 4Find the intervals on which the graph of f(x) is concave up or concave down. 5Find the

Statistics
Consider the following table for a singlefactor ANOVA. Level of Factor Replicates 1 2 3 1 1 2 5 2 2 4 7 3 2 4 7 (a) Find x1,2. (b) Find x2,1. (c) Find C1. (d) Find x. (e) Find (Ci )2.

Math help
Consider the following table for a singlefactor ANOVA. Level of Factor Replicates 1 2 3 1 0 4 4 2 0 5 6 3 1 3 6 (a) Find x1,2. (b) Find x2,1. (c) Find C1. (d) Find x. (e) Find (Ci )2.

math
Consider the following. (Give your answers correct to four decimal places.) (a) Find P(2.07 < z < 0.00). (b) Find P(1.86 < z < 2.11). (c) Find P(z < 1.55). (d) Find P(z < 0.55).

math
Consider the following. (Give your answers correct to four decimal places.) (a) Find P(0.00 < z < 2.13). (b) Find P(1.81 < z < 2.03). (c) Find P(z > 0.23). (d) Find P(z < 1.51).

probability
Given a source generates two symbols the apriori probability of x1 is p(x)=0..25. The transition matrix of the channel is as follows p(y1/x1)=0.3, p(y1/x2)=0.4. Find the following: a) What is the type of the channel. b) Find the self information contained

Geometry
I have several questions, because my geometry final is tomorrow. I've completed most of the review, but can't seem to figure out these questions. It would be great if someone could tell me how to solve each equation. 1. Find the radius of the circle with

physics
A simple harmonic oscillator with = 0.845 and total energy = 145 has amplitude 1.45 . A) find spring constant B) find period C) find max speed D) find max acceleration

Math
I need the answers and the work shown steb by step today pls^^ For each direct variation find the constant of variation.Then find the value of y when x= 5 1.y=2 whne x=7 2.y=2 when x=2 3.y= 17 when x=4 y varies directly with x. 1.if y=6 when x=2,find x

Pre calculus
Find all roots f(x) x^3+2x^215x+30 Factor f(x) completely. I can't find any roots and always get a remainder with 1, 1, 2, 2 What do you do if you cannot find a root?? Using Calc button on ti84 I got X= 5.619 Y=1.4E11 Still can't find zeros...

Math
Consider the equation below. (Round the answers to three decimal places. If you need to use infinity or infinity, enter INFINITY or INFINITY.) f(x) = 9 sqrt(xe*^(x) (a) Find the interval on which f is increasing. ( , ) Find the interval on which f is

Math
Given the following information answer questions ad. P(A)= 0.42 P(B)=0.36 A and B are independent Round all answer to the nearest 5 decimal places as needed. a) Find P(A U B) b) Find P ( AB) C) Find P (BA) d) Find P(AnB)

Probability
Consider an RV X with the following density given parameters α and γ . f (x) = {(1/γ)e^((xα)/γ) if x>α {0 if x ≤ α. a. Find E[X]. b. Find V[X]. c. If α = 4, γ = 2, ﬁnd P (X > 8). d. Find P (X < α + 3γ ). e. Find the cdf for X , F (x).

Algebra
I need some help with algebra as I'm confused as to how to solve them. Find the common difference d and the value of a1 using the information given. 1. a6= 5/4, a8= 9/4 Evaluate each sum. 2. E like symbol that has a 29 on the top. On the bottom n=1 and to

math
If y varies diretly with x, write an equation for the direct variation. then find each value. Find y when x = 10 if y = 8 when x = 20 If think I can find the value by y/10 = 8/20 with the answer for the value is 4. My problem is how to find the equation.

Phyics
A projectile is fired horizontally from a 39 m cliff at 30m/s . Find the speed and velocity of the projectile when it strikes the ground. Find vx Find vy Find v

Algebra 2
Did I answer these correctly? 1.f(x) = 2x + 3 g(x)= 2x^2 + 2x Find f(g(x) ) 2(2x^2+2x)+3 =4x(x+1)+3 = 4x^2+4x+3 2. f(x) = 5x + 3 g(x) = 2x^22x + 2 Find (fg(x) ) (5x+3)(2x^22x+2) 2(5x+3)(x^2x+1) 10x^34x^2+4x+6 3.f(x)=3x g(x)= 2x^2 2x Find (f  g)(x)

ellipses
8x^2+y^2+80x6y+193=0 Find the center (which i think is (5,3) Find the major axis Find the minor axis && find the distance from C to foci

geometry
The diameter of circle C is 18 cm. is 60°. Use this information, the diagram, and your experiences in geometry this semester to answer these questions. (Use .) a) Find . Explain. b) Find . Explain. c) Find . Explain. d) Find the length L of . Show your

CAL
Hi, im lost in theses three problems. Please help. Thank you so much!!! 1. Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = 3 squareroot all 1 + 5x (g(x), f(u)) = ??????? Find the

english
 1. Everywhere you go, you will find the same thing. 2. Wherever you go, you will find the same thing. 3. No matter where you go, you will find the same thing. Are they all the same in meaning? Which one is popuplar? •English 

Math
Consider the following where s is in feet and t is in seconds. s(t) = t^3 + 4t^2 + 6t + 4 (a) Find v(t). v(t) = (b) Find a(t). a(t) = (c) Find v(3). (d) Find a(3). v(t) is the first derivative of s(t). a(t) is the second derivative of s(t). I will be happy

precalculus
(tan^2x9)(2cosx+1)=0 Find one period 4cos^2x4cosx+1=0 find all angles and name 8 angles 7sin^2x22sinx+3=0 find all angles and name 8 angles 2cos^2x7cosx=3 find one period sinx(2sinx+1)=0 find one period

statistics
Suppose a restaurant in town serves three fixed price dinners costing $12, $15, and $20. For a randomly selected couple ( Penny = X and Leonard= Y), the joint probability table for their selections is given below. Y p(x,y) 12 15 20 12 .05 .05 .10 15 .05

Calculus
Assume that each of the follwing functions gives the position of an object at time t. Find the velocities indicated by setting up and evaluating a limt algebraically. (a) s(t) = 3t^2, Find v(1). (b) s(t) = 1/t , Find v(2). (c) s(t) = square root of t,

Calculus (pleas help I really need to check this)
Assume that each of the follwing functions gives the position of an object at time t. Find the velocities indicated by setting up and evaluating a limt algebraically. (a) s(t) = 3t^2, Find v(1). (b) s(t) = 1/t , Find v(2). (c) s(t) = square root of t,

Physics
Consider the system of capacitors shown in the figure below (C1 = 5.00 µF, C2 = 7.00 µF). Find the equivalent capacitance of the system. Find the charge on each capacitor. Find the potential difference across each capacitor. Find the total energy stored

math
Let a(t), v(t) and s(t) be the acceleration, velocity, and position functions respectively of a particle. If a(t)=5cos(t/2)+sint and s(0)=0, v(0)=5. How do i find the position function s(t)?? find s(t) as the second integral of a(t) s(t)= INTINT a(t) dt

Trigonometry
I posted this earlier today: I do not know how to find a single function of x or ø by using an identity. How do you find a single function using identities for a problem such as: cos(3pi/4  x) But I think either I'm trying to find ø or I'm trying to

Math
The diameter of circle C is 18 cm. mAD is 60°. Answer the following: a) Find m

Math
Jena is comparing prices of different cell phones. She made a dot plot to show the prices. How can she find the most common price? A) Find the dot all the way to the right. B) Find the dot all the way to the left. C) Find the shortest stack of dots. D)

Calculus  Maths
I got a few questions. Hope ya'll can help out. 1) for F(X) = 6x  2x^2 Find the gradient of the chord joining the point where the X coorinates are 1 and (1+h) respectively. b) hence find the gradient at x=1 2) Find the Coordinates of the point on the

PRECAL
Find a Parabola with Vertex (3,1) Focus (4,1) Find the vertex of 4y^2+4y16x+13=0 Find the center of an ellipse 9x^2+4y^236x24y36=0 Find an ellipse with minor axis of 8 and vertices at (9,3),(7,3)

precal help
Find a Parabola with Vertex (3,1) Focus (4,1) Find the vertex of 4y^2+4y16x+13=0 Find the center of an ellipse 9x^2+4y^236x24y36=0 Find an ellipse with minor axis of 8 and vertices at (9,3),(7,3)

math
find the area of a right angled riangle. find the distance from A to B. Find the distance from B to C. Find the midpoint B(1,4) A(1,1) C(4,1) thanks for your time and help.

Chemistry
An atmospheric scientist interested in how NO is converted into NO2 in urban atmospheres carries out two experiments to measure the rate of this reaction. The data are tabulated below. A: [NO]0 = 9.63 × 103 M, [O2]0 = 4.1 × 104 M t(s) 0 3.0 6.0 9.0

Science...i need help
Where is humidity? Can you find me website where you can find humidity? Thanks for your time! from Vin.... What do you want to know about humidity? Where can you find humidity? Like from outside from rain or..... YOu can find it anywhere there is water

Geometry
What is an equation I can use to find the sum of the first 1000 counting numbers? I have been trying to find out how to figure out this problem, but can't find it my notes. Thanks in advance. :)

calculus
how would you find the median of a pdf picture it basically is a triangle with points (0,0) (6,.2) (10,0) do i need to find the slopes to find equations for the lines? thanks!

Environmental Studies
I am trying to find the EPA standards for the maximum amounts of phosphate per liter of water. I went on their site, but I couldn't find it. Could anyone find out for me? THank you

History
We're learning about imperialism, and i have to find the foreign aid recipient $$ of china. I can't find it on the website my teacher gave to us.. Does anyone know it, or know where I could find it?

Statistics
Answer the following questions. (a) The random variable x is distributed normally, with x~N(80,100) Find the probability that x is greater than 90. x >90. (b) Find P(x

Math check
Consider the following. (Give your answers correct to four decimal places.) (a) Find P(0.00 < z < 2.13). =.4834 (b) Find P(1.81 < z < 2.03).=.9436 (c) Find P(z > 0.23). =.4090

Math
I know the answer to this question, but I want to find a simpler way of doing it... Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S= 1+2+3+...+24+25, find the value of S. Thanks!!!!!

Math
Find an equation for the hyperbola. vertices:(2,3)(2,3) Foci:(2,5)(2,5) I used the midpoint formula to find the center and I came up with (2,0). I just don't know how to find a and b.