In Exercises 11-18: (a) Find the domain D of the given function. (b) State whether D is an open or closed set. (c) State whether D is bounded or unbounded. 11. f(x, y) = V9- x2- y2 12. f(x, y) = Vy – x?

Q: nt) Let f(z) be the function 6z2 – f(5+h)–f(5) 5z + 9. Then the quotient can be simplified to ah + b...

A: f(x)=6x2-5x+9then f(5+h)=6(5+h)2-5(5+h)+9                      =6(52+h2+10h)-25-5h+9                ...

Q: Find the average velocity over the interval [1,4] Find the average velocity over the interval [1,1 +...

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Q: Find the exact anser for t and leave the answer with the logarithm in the answer. 40e−0.2t = 12

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Q: Find a formula for the linear function with a slope of 8 and a y-intercept value of 8. Use x as the ...

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Q: Discuss the similarities and differences between what it means for a sequence to converge and what i...

A: Sequence and series. 

Q: MY NOTES AŠK YOUR TEACHER PRACTICE ANOTHER Use the shell method to set up and evaluate the integral ...

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Q: The graph of fis given. State the numbers at which f is not differentiable. (Enter your answers as a...

A: If there is a sharp point at x=a on the graph , then function is not differentiable at x=a. If funct...

Q: A function f is differentiable at a number a.. A. ... if lim f(x) = f(a), f(z) – f(a) B. ... if lim ...

A: topic - condition for differentiable function

Q: Use a calculator to solve the following equation for 0 on the interval [–90°, 90°]. 3 sin (0) 4 Roun...

A: We can find the value in the interval as below.

Q: Represent the function 8ln(8−x) as a power series (Maclaurin series) What is the radius of converge...

A: Given:- The function is, f(x)=8ln(8-x) as a power series. To find: - The radius of convergence of th...

Q: /3 Without using a calculator: tan¬1 ( 3

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Q: Evalvate the limit lim Cos x In(x- TT Xーつク nピ-e)

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Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: Does the series (- 1)"n²| =| 3 converge absolutely, converge conditionally, or diverge? n= 1 Choose ...

A: We want to check the series is convergent or divergent.

Q: me limit below represents a derivative f'(a) Find f(r) and a lim h-0 (5 + h)² – 25 h. 10

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Q: Determine the sum of the measures of the interior angles of the indicated polygon. Octagon The sum o...

A: topic- polygons and angles

Q: 20 18 16 14 12 10 8 D 6. 4 0 1 3 4 6 7 8 9 10 11 12 Quantity Suppose that supply and demand at a mar...

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Q: Find the value of (f o g)' at the given value. f(u) = u° + 9, u= g(x) = Vx, x=1 (fo g)'(1) = (Type a...

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Q: Find all the values of x such that the given series would converge. In(n + 8) n= Answer: Note: Give ...

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Q: Test the series at the given values of x for convergence or divergence. (x+2)" Σ n=0 7" (3n + 1) • T...

A: Given the series is ∑n=0∞ (x+2)n7n (3n+1)

Q: For the following functions. Please show all evidence. (a) Identify all local extrema, (max or min.)...

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Q: Write the first five terms of the sequence, give the exact answer: +oo In+11) n=1 Determine whether ...

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Q: zeros of the function f(x) = 12x - 19x2 - 101x - 60. Enten ced by commas.

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Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal places...

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Q: x*-4y2 Find lim (x,y)¬(0,0) x2+2y2 if it exists, or show that the limit does not exist.

A: The given limit limx,y→0,0x2-4y2x2+2y2

Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

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Q: Let g(x, y) = cos(x + 2y). a. Evaluate g(2,–1). b. Find the domain of g. c. Find the range of g.

A: The function,      g(x,y)=cosx+2y

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A: Given :xy-2x-8=0x=2

Q: If x2+y?+z? = 9, dt dx dy = 7, find zp dt when (x, y, z) = (2,2,1). = 8, %3D %3D dt dz dt X when (x,...

A: Given x2+y2+z2=9dxdt=8, dydt=7     

Q: What is the algebraic form of the complex number 13 e (A) 12+5i (в) 5-12i c) 12-5i D) 5+12i

A: We can find the exponential form of the algebraic expression as below.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of...

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Q: Determine whether the function is a polynomial function. If it​ is, identify the degree.   ​g(x) = 3...

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Q: f(x,y), where x = x(r,s, t), Use a tree diagram to write out the Chain Rule for u y = y(r,s,t).

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Q: Solve the given initial-value problem. 7y2 y5 t2 t 0, У(1) 3D 1 2y4 dy dt

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Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at x...

A: Topic = Functions

Q: Find the vector equation of the line, L that passes through the points P (2, -2, 8) and Q (10, 8, 3)...

A: Given problem:- Find the vector equation of the line, L that passes through the points P (2, -2, 8) ...

Q: c. Find the price that gives the maximum profit. Also, find that maximum profit.

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Q: Draw a contour map of the function f (x,y) = (y – 2x)2 showing several level curves.

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Q: ven the side length b = 9 and the angle B = 43° on the triangle below, find the lengths of a and c a...

A: Given query is to find the value of a,c and A.

Q: Consider the power series (-1)"(2æ – 5)" n=1 Vn + 5

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Q: u - 1 Find dy/dx, given y : and u =Vx + 2. u* + 1

A: We can find the derivative as below.

Q: f(x) – f(a) Simplify the difference quotient for the given function. X-a f(x) = 4 – 2x – x?

A: Given query is to perform indicated operation on the function.

Q: dx 3. S xVx-8 4. S-5 cos r sin 2r dr

A: ∫1x2+a2 dx =12atan-1xa+C ∫un du = un+1n+1+C

Q: 6) Complete the list of all important integrals in the table. 1. [ u"du = 2. = np- 3. [ e"du = S e'd...

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: 3. lim f(x) = -2, 4. lim f(x) = +00, X-2- lim, f(x) = 2 and f(2) = 0 lim 1437(x) = -0

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Q: A contour map of a function is shown. Use it to make a rough sketch of the graph of f. y A 14 13 12 ...

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy +6=0,...

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Q: Show that V is not a subspace of R°: V is the set of all (x, y, z) such that x + y +z = 3

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Q: (a) Find the differential dy. y = ex/4 dy = (b) Evaluate dy for the given values of x and dx. x = 0,...

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