dw If w = x2 + y2 and x = at?,y = 2at find dt

Q: Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r =...

A: Here, w=f(p,q,r), p=g(t), q=h(t) & r=k(t) So, 

Q: Let r(x) = f(g(h(x)), where h(1) = 5, g(5) = 4, h'(1) = 5, g'(5) = 5, and f'(4) = 8. Find r'(1). r(1...

A: Given thatrx=fghx where h1=5,g5=4,h'1=5,g'5=5,f'4=8 To find :r'1Solution:rx=fghxr'x=f'ghxg'hxh'xr'1=...

Q: In the Wizard World, currency exchange is inconsistent. One Galleon from the Wizarding World is equi...

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Q: Let f(x) = x8 - 8x6. When the tangent line is vertical, what is the derivative of f(x)?

A: Here we will understand the vertical tangent line and we will find derivative of given function,

Q: Solve the following problems a. Which of the following are the coordinates of a point where the tang...

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Q: 4. Evaluatelimx-1x-1x-1. Show your complete solution.

A: Here we can apply L'Hopital for 0/0 form. 

Q: Use by parts find r'cos x dx Jo

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Q: Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 ...

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Q: The point P (2,3) lies on the ellipse 8a² + 2y² = c. Determine the value of c and write the point-sl...

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Q: If z = x sin y + y sin x a2z then дхду

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Q: Evaluate O xy°dx + x²dy, where C is the rectangle with vertices (0,0), (6,0), (6,4), and (0,4)

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Q: 1. For function z = f(x, y) where f(x, y) = 4 – x² – 2y², we compute that fa(1,1) = -2 and fy(1,1) =...

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Q: 8. Without a calculator, match the functions y = 2, y = e, y = 3, y = In x, y = log x with the graph...

A: Without using a calculator, to match the functions, y=2x, y=e-x, y=3x, y=ln x, y=log x with the grap...

Q: Determine the maximum and minimum points of the given functions below. g(x)=x6−2x5+8x4

A: Here we have to find the maximum and minimum points of a given function g(x), we have use first and ...

Q: dw at t = 4 for the function w(x, y) = e y - In x; x = t 2, y = Int. Evaluate dt O 1 2

A: Given that       w(x,y) = ey - ln x         x = t2 ,  y = ln t 

Q: Question 1 Let R be the rectangle {(x, y) :0 < x < 3,0 < y < 1}. Let D be the region bounded above b...

A: Solved below

Q: 2. Graph the following functions for one period. And show (or specify) the intercepts and asymptotes...

A: Curve sketching and x-intercept and Asymptote.

Q: y = 6x² – 4x, - dy Find dt dx = 7,x = -2 dt

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

Q: x +1 xp- x3 + x2 – 6x d.x

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

Q: If z = eax+by az then a az is ay

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: g(r) = 9x+9x-25x3-25r?

A: 5) g(x)=9x5+9x4-25x3-25x2  a) leading coefficient is 9( positive) and   degree is 5(odd)⇒g(x)→∞ as x...

Q: az Use the Chain Rule to find az and as for z = x2y3,x = s cos t, y = s sin t. %3D at

A: We will use chain Rule to perform differentiation.

Q: The population of a city is modeled by the equation P(t) = 434,361e0.15t where t is measured in year...

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  here we have P=1 m...

Q: 60e + 93e Find the vertical asymptote of y = 18ez – 13e Note: Give the exact answer but not the deci...

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Q: Given the following table, give the best estimate for f'(9) - f(9) 3 12 15 f(x) 39 42 53 64 27 4 The...

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Q: The diameter of a sphere is measured as 100 ± 3 cm and the volume is calculated from this measuremen...

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Q: Express the vector in the form v = vji + v2j + v3k. AB if A is the point (-9, -5, 5) and B is the po...

A: A-9,-5,5 and B-4,-12,8

Q: Use the Root Test to prove that the series e2n is convergent. n" n=1

A: If limn→∞|an|1n=L, and:  If L&lt;1, then ∑an converges  If L&gt;1, then ∑an diverges  If L=1, then t...

Q: xy' + y = x³y³ Inx

A: This question is related to differential equations, we will solve it using given information. 

Q: cos(7t), 3t >. Find the arc length parameter s(t) with base point at P(t0) where t0 = 4.

A: Here is solution

Q: Express the vector as a product of its length and direction. 6j - 8k 100- 10(j - k) 3 10 j O 10(6j -...

A: We have to find out the vector

Q: Find the derivative of the function. y = x*V25 - x²

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Q: Let f (z) = z+3 . We will use the definition of derivative to find the derivative of f (x). (1) What...

A: As per guidelines we can solve only three subparts at a time, So the first three subparts can be ans...

Q: Find the limit of the following functions x 5 +3 x3−2 as x→2 X3 +4/X-4  as x→4

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Q: What is the coefficient of xk in 1+x+x4 divided by (1-x)5 ?

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Q: Find the derivative of the following functions using the definition of the sine and cosine function....

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Q: Calculate the derivative of the following function. y = (csc x+ cot x) dy dx II

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Q: Calculate the derivative of the following function. y=f(g(6x*)), where f and g are differentiable fo...

A: We have to find out

Q: The determinant of the matrix 2 -2 A 3D -2 -4 -3 -5 -6 is and its inverse is b12 b13 A- b21 b22 b23 ...

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Q: Solve the problem. A garden hose is spraying a stream of water at a box on the ground with a force o...

A: Force= 4.8 pounds , angle with ground= 30°  Find horizontal component of force 

Q: -2x Hint: sinh(2x) = y" - y = sinh(2x) 2 а. Find ye b. Find u'i & u'2 C. Find u1 & u2 d. Find Yp е. ...

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Q: If f(x) is a linear function, f( – 3) - 4, and f(4) = 3, find an equation for f(x) f(x) = Question H...

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Q: Consider the equation æ27 + 36 æ – 1 = 0 Which of the following statement is true? O The equation ha...

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Q: Find the average of the function h (x) = 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: h(x)=4x2-x+5 on the interval -2, 3

Q: 1. Engineers have observed that when transferring a message I (an input signal) through a physical m...

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Q: 6. Solve the inequality f(r) = 3(x- 5)(x+ 2)2 > 0 first algebraically your answer using the graph in...

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Q: For questions 2-5 please determine the following: a). End behavior of f(x). b). Determine the r-inte...

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Q: 49369/assignments/326920 Carmmg 0as. mterpret porynomal o metion Denavior ana ICs CommectIOH tO CnG ...

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Q: dx (V32 + 4)3

A: