Consider the integral 16–z² x? dz dy dx x²+y²

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Q: Law of Cooling (disregard guessing) Use differential equation and modeling to solve and find the tim...

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Q: Please answer with solution help

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Q: dy = (x + y + 1)? %3D dx dy

A: Topic:- differential equations  Note :- as per our guideline if more than one question uploaded than...

Q: The function below is a simplification of which integral?" 4. 4 a sin(2 3x) + 3 cos(2 3x) + c 6.

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Q: If f(a)= 3x3-X, find the values Of X for which f'(k)=0

A: Given f(x)= 3x³-x So, f'(x)= 9x²-1

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Q: ketch the region enclosed by the given curves. x 6y2, x 4 + 5y2 y 20 15 10 10 15 20 O-21 20 15 10 15...

A: Given curves are x=6y2 and x=4+5y2 Sketch the region and find the area

Q: What Have I Learned So Far? A. Use the definition of the derivative to solve the following functions...

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Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

Q: M. F. Given the equations y = Inx +1 on the interval 1 <x< 2, set up but do not evaluate the integra...

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Q: Determine the function f satisfying the given conditions. f'(x) = sin(x) cos(x) %3D f(37t/2) = 2.5 %...

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Q: A company that manufactures bicycles has a fixed cost of $100,000. It costs $100 to produce each bic...

A: We have to find total cost of function and interpret C(90).

Q: Let

A: We will find the partial derivative with respect to x. 

Q: 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to the line y = 3x + 1 (Hi...

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Q: yln" (I+ y?) dy I+ y2

A: Given:  Let I=∫y ln71+y21+y2 dy To Find: To evaluate the given integral.    

Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

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Q: Use the identities cos 20 =1- 2 sin? 0 = 2 cos? r to help evaluate the integrals. COS 1 NOTE: Enter ...

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Q: Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given...

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Q: f (x) = 2x² – x + 6

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Q: Consider the curve f(x)= sinx - cosx + 1 i) find f'(x) ii) Hence or otherwise, find the maximum an...

A: f'(x)=differentiates f(x) w.r.t x

Q: 19. Consider the parametrization of the unit circle given by c(t) = (cos t, sin t). (a) Verify that ...

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Q: integrals and the limit definition per integral in your solution

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Q: Suppose that $8000 is placed in an account that pays 7% interest compounded each year. Assume that n...

A: This question is based on Compound interest formula.

Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²...

A: Given

Q: lim V9(x) Choose

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Q: what is cos(tan^−1(−1/2))

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Q: After a great deal of experimentation, two college senior physics majors determined that when a bott...

A: As per our guidelines we are suppose to solve only first question if the multiple questions are post...

Q: Consider the following functions. f-((-3,-2), (2, 0), (1, – 1), (–2, –5)} and 8 = ((5,0), (0, 1), (1...

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Q: Consider the following functions. f ((-3,-2), (2, 0), (1, – 1), (–2,-5)} and 8= (5,0), (0, 1), (1, 1...

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Q: if x>1 if x = 1 ,a=1 if x <1 f(x) = {1 2х

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Q: The sec?ytanydy 4 + tan²y is equal to In(4 + tan?y) + C A. 4 In(4 + sec?y) + C B.- 2 In(4 + tan?y) +...

A: LetI=∫sec2ytany4+tan2ydySubstitute , u=4+tan2yDifferentiate on both sidedu=ddx(4)+ddytan2ydu=0+ddyta...

Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives

Q: 7. Which of the following is the potential function for F = (2ху + 1,х2 + 2yz, y? — 2)? а. Ф(х, у, 2...

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Q: or the curve x²y²=9 at (1,3) find the equation of normal line

A: Given: x²y²=9 

Q: Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

A: Find the given limit

Q: If a country experiences a doubling time of 45 years with a growth rate of 1.5%, then we can infer a...

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Q: 7. Fill in the boxes below to create an equation equivalent to the equation x = 40. %3D log

A: 7. The equation is given by x3 = 40                         ..........1 To evaluate: An equation equ...

Q: Find all the values of x such that the given series would converge. (x – 9)" 92 Answer: Note: Give y...

A: Given:     Limit is given

Q: Find the second-degree Taylor polynomial for f(x) = 4x? – 3x + 8 about a = 0. P2(x) = What do you no...

A: Taylor polynomial

Q: (c) Evaluate [z°dz where C is a circular arc of radius 1 from z = 1 to z = -i. Draw path C in an Arg...

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Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

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Q: 2(14 – 2)² dx = (14 – x)² dx %3D

A:     ∫ x1314-x2dx=∫ 196x13-28x43+x73dx=∫ 196x13dx-∫ 28x43dx+∫ x73dx=147x43-12x73+310x103Add a constan...

Q: Determine whether g(x) is continuous on the following intervals. 1. (-5, -3) g(x) 2. (-3, -1) 3. (1,...

A: Given :   g(x) is a function that is :

Q: 2x – x3 1. Evaluate dx. (x – 1)²(x² + 1) | NO NEED TO SHOW SOLUTION FOR NUMBER ONE; JUST USE NUMBER ...

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Q: Consider f(r, y) = 3r² – 4y and U = cosa î + sin r î. Find the directional derivative of f in the di...

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