Find if y = [In(e* + 1) + ešin #]³. Do not simplify.

Q: Verify that fy =f for the following function. %3D f(x.y) =*y+5

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Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) = x(2x...

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Q: The point A has coordinates (-3, 5). If A is moved 3 units upward 6 units to the left, what are the ...

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Q: 6. Exponential Functions 7. Logarithmic Functions 8. Absolute Value Functions 9. (Basic) Sine functi...

A: 6. Exponential functions are always continuous because they are always differentiable and continuity...

Q: Find the general solution to the differential equation y''-4y'=8-16x

A: y"-4y'=8-16xf(D)=D2-4DAuxillary equation :m2-4m=0m(m-4)=0m=0,4m1=0 , m2=4

Q: 24. 3e dx

A: topic - definite integrals

Q: 9. Use spherical coordinates to find the volume of the part of the ballps 4 that lies between the pl...

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Q: u=(-8,16) Find the magnitude (lu) of u=

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Q: Certain chemotherapy dosages depend on a patient's surface area According to the Mosteller model, Vh...

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Q: tind the component form of the given vector V. belaw Dont forget round off to two decimal places. 55...

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Q: - y² dy 3y 50.

A: Simplify the expression and integrate it.

Q: Evaluate the integral. (Hint: u-sub) Cos x dx 1 + 4 sin x O! Inl1+4 nin x| + C 4 In |1+4 sin x | + c...

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Q: (3) Let a, b, c € R and a # 0. Find the radius and interval of convergence of the following power se...

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Q: 9. A rancher has 400' of fencing with which to enclose two adjacent rectangular corrals. What dimens...

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Q: Find y for y=tan-(e*+ /x +1) O None of the other answers 1 ex + 2/x y = V1-(e"+Jã+1)* 1 ex + 2/x 1+(...

A: I have stated the used formulas in the solution

Q: Complete the table. y = f(g(x)) u = g(x) y = f(u) y = (2x - 9)2 u- y = u2

A: topic - functions

Q: Select the linear function such that it has the indicated function values. f(1) = 8, f(0) = 7 O f(x)...

A: topic - linear function 

Q: Please provide the name of each property that I have circled. Please provide the exact name.

A: To name the integral properties.∫-aafxdx=∫-a0fxdx+∫0afxdx∫-a0fxdx=∫0af-xdx

Q: Compare the graph of n = - 1 with n(x)=x². -J(9 +지은- 1 1 shifts left 36 units, shifts upward 1 units...

A: topic - transformation of a function

Q: Use the product rule to find the derivative. f(x) = -2xex? %3D Please show all steps

A: To find the derivative of given function.

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

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Q: An open box is to be made from a rectangular piece of material by cutting equal squares from each co...

A: Explanation of the answer is as follows

Q: Question 10 Compute y for y=(tanx)**+1 sec?x y = (tanx)**+1 2xin(tanx) + (x² + 1) tanx %3D sec?x y =...

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Q: The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial...

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Q: Solve the initial value problem. ds = 12t(3t² - 1)°, s(1)=7 dt The solution is s =

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Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the po...

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Q: Consider the following piecewise-defined function. - 2x2 + x - 2 if x 3 Step 2 of 3: Evaluate this ...

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Q: Consider the following. f(z) = Vr+4 Use a computer algebra system to find the derivative of the func...

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Q: Question 8 In(t2 + e2)- 2 lim t 0 (a) 0 (b) 1 (c) 1/2 (d) 2 (e) none of these Question 9 The slope o...

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Q: If f(x) = 2 sin(x) + 3x", find f' (3). f' (3) =

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Q: A resort sells all-included package for a week-long stay at 2000S per person. It costs 1600$ to the ...

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Q: 1. f(x) = e3x B. Find the derivative of the following using chain rule 1. f(x) = (x3-6x + 1)9 %3D 2 ...

A: i solved part second as per student

Q: the volume of a regular cylinder is increased up to 80%.  by how much percent the radius of the cyli...

A: The volume of a regular cylinder is increased up to 80%.

Q: A curve passes through point leio) and the Sloge dt line of each point (^,y) is egual to xe-BY .In t...

A: Curve passes through (e6, 0)f(e6)=0slope of Normal line=x e-8ySlope of normal line*slope of tangent ...

Q: 10. A Norman window is constructed by adjoining a semicircle on the top of an ordinary rectangular w...

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z? = 21, (1, ...

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Q: Find the critical numbers of the function. f(x) = x5 - 5x Step 1 o or f (x) does not exist. does not...

A: We need to find the critical numbers of the functionfx=x5-5x4

Q: The radius of a sphere is increasing at a rate of 5 mm/s. How fast is the volume increasing when the...

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: Express the integral in terms of the variable u, but do not evaluate it. e13 In x dx; u = ln x e10 r...

A: Fill the blanks

Q: The derivative of a continuous function f is given by In your notes, create an interval table then d...

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Q: Solve the differential equation. dy = 3x?cos? y xp Oy = x³ +C O y = tan'1 (x² + C) O y- tan (x³ + C)...

A: topic - differential equations

Q: Question 14 Suppose that f'(x) > 0 for all x E R. Let g(x) = f(2x – x2) for all r E R. Then on [3, 5...

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Q: A metal cube dissolves in acid such that an edge of the cube decreases by 0.40 mm/min. How fast is t...

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Q: 12. f(x) = ( cosx 1+sinx)

A: f(x)= (cosx/ 1+sinx)2

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: If two vector are parallel than angle between them zero.

Q: In Problems 43-54, find each indefinite integral. (Check by differentiation.)

A: Given ∫(5ez+4) dz

Q: ) ý +zy=0, yl0) = 1-5 %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart...

Q: Use substitution to find the indefinite integral. (9+7 In x)

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Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the g...

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