S √16 - x² dx X 4+16x2 A)√16-x2 - 4 In X C) √/16 - x² - sin-1 ] + c - C B)√16-x2+4 In 4+√16-x2 x2 √16-x2 D) -sin X + C + C

Q: Question 3: Show that 5xy² lim (x,y) (0,0) x² + y² does not exist.

A: Solve the following

Q: approaching

A: Please refer to the image below

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A: We have to find the marginal profit.

Q: VI. Determine the instantaneous rate of change of the function √x sin (³) In 2 = = [X² f(x): dt 1 +…

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Q: Solve the differential equation of order one.   (2xy +  x2 + x4)dx − (1+ x2)dy= 0 STEPS: a. Put…

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Q: B. Find the area bounded by the curves, the axis and the given values of y. Sketch the graph. 3.…

A: Given problem:- B. Find the area bounded by the curves, the axis and the given values of y. Sketch…

Q: Evaluate the indefinite integral given below using the indicated substitution. 1-20 -2(-2x + 9)³ dx…

A:

Q: 3.2.5 Test for exactness then solve. (x3+ xy2 − y)dx + (y3 + x2y − x)dy = 0

A: Given: (x3+xy2-y)dx+(y3+x2y-x)dy=0

Q: Nxx X-√√x 3 olx

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Q: A solid consists of a right-circular cylinder and a hemisphere on each end. The length of the…

A: The diagram of the cylinder with hemisphere on the end will be as following To find dVdr at r=2,…

Q: 11 12 13 14 15 Solve Solve Solve Solve Solve ((AND)U(CNA))-(CNB) (BUC)-(DNA) (BUD)-(ANC) (ANB)U(DNC)…

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Q: Evaluate the integral: 3 So |2 - 2x| dx

A: Given,∫032-2xdx

Q: Q2/ Find the derivative of each of the following functions:- X 2. log₂ x y = X 1+ tan x 1. y=(sin…

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Q: 10. Consider the function f(x)=2x^2 +(0.4)x If the constant of integration is C=7.2, what is the…

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Q: π 2 EK 4 cot4 x dx

A: Here, note that: ∫cot4x dx=∫cot2x cot2x dx=∫(cosec2x-1) cot2x dx=∫cosec2x cot2x dx-∫cot2x…

Q: Explain why the function f is continuous at every number in its domain. State the domain. 3v1 f(x)=…

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Q: R is the region bounded by the functions f(x) = - +3 an exact answer. Provide your answer below: A =…

A: The given two functions are:fx=-x23+4x3-103 and gx=x23-10x3+103We need to find the area bounded by…

Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

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Q: 2. (9y-2 +6y-4-y-5+1) dy 3. √ (12x²-x²+x²) dx

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Q: -2 Given f(x) = ²√4 - t² dt, evaluate the following. -2 (i) f (-1) (ii) f(0), by interpreting f (0)…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

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Q: Do as indicated. a. Find the equation the tangent line and normal line to the graph of f(x) = x³ at…

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Q: Q3/ Using shifting and reflection to draw the following functions. 2- y = √1 ex 2- y = sin(x) + 1

A: As per bartleby guidelines we only give first question answers.

Q: V. A small business determined that the price-demand and cost functions for producing and selling x…

A:

Q: Please do this typewritten only for upvote. I will not upvote if it is handwritten. Make sure you…

A: Given that,

Q: lim (tan x)(sin x−1) + TU x-2

A: lim     (tanx)(sinx -1) x -->π/2 here we can direct put limit  because we can apply limit

Q: 4. x-1 x² + 5x+8 Ja da

A:

Q: Is that pi (π)? Or something?

A: Given ,  Area of the region bounded by  y = cosx , x = -π/2 and x = π/2 and the x - axis  We have to…

Q: What is the general solution to the differential equation (tan x)dy - (4y In y - y tan³x)sec²x dx =…

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Q: [s sec5 x tan4x dx

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Q: 4x Find the average value of the function f(x): - 5 Submit your answer as an exact value. Provide…

A: Given problem:- Find the average value of the function f(x) =(4x/5) + 1 over the interval [-1,3].

Q: Evaluate fsin² 2xdx Show step-by-step solution.

A: We need to do integration of  sin2(2x)  First we will apply it's formula, since this value is equal…

Q: Given the following graph of f(x) , use your understanding of derivatives to sketch a graph of f'(x)

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Q: Determine the instantaneous rate of change of the function √ sin sin (2³) f(x) = [x² x3 At x=1 dt…

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Q: u=-5), v=-1-√31 (a) Find u-v. U-V= (b) Find the angle between u and v to the nearest deg 0

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Q: A piece of wire 20 m long is cut into two pieces. One piece is bent into a square and the other is…

A: Please refer to the image below

Q: Evaluate the indefinite integral given below using the indicated substitution. /-20 -2(-2x +9)³ dx u…

A:

Q: 1. a2 = 6 and a6 = 96 are terms of a geometric sequence, find a4.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: [x xf (x²) dx Which integral is equivalent to the one shown: Oa) f f(u) du √uf (u) O b) S 2 O c) […

A:

Q: Evaluate the following limits. 1. lim 1 cosh x x+0+ ln(x² + 1) 2. lim (tanx) (sin x-1) x+7+

A: Let's solve for given limit.

Q: Test for exactness then solve. (1 +  y2)dx + (x2y + y)dy = 0

A:

Q: Question 4 Given a second order differential equation d²x dx 2 + 10x = e²t dt² dt dx where t = 0, x…

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Q: I the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Topic:  application of integration

Q: The substitution = 2x -y and v= x + y make the region R (see figure) into a simple region S in the…

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Q: - Let v and w be vectors such that |v| = 2, ww = 36 and the angle between v and w is T/3. Calculate…

A: This question can be solved using the concept of vectors.

Q: Calculate the amount of money Cynthia had to deposit in an investment fund growing at an interest…

A: To find out the amount of money that Cynthia has to deposit.

Q: Find the derivative of the function. g'(t) = g(t) = (8t + 8)² (8t² – 8)−3 -

A: We need to find derivative of given function.

Q: 1. Let B = {. What is A. C. B. ( D. cannot identify } and the operation * is defined by the table…

A: To find what element we get after operating the given elements.

Q: 5x² S -dx 2. ex

A:

Q: Find the average value of f(x) = -3√x+ 5x over the interval [0, 3]. Submit an exact answer using…

A: