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Q: .Evalnate. the following.denble.integral.s.by.conver.ting. bo ... polar.Coa.r.dinates. .... Ans: 36 ...

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Q: Express the function f(x) = g(x)^x) in terms of the natural logarithmic and natural exponential func...

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Q: 32. At what value/s of x is the function (2 — Зх f(x) = } -|x| (x² – 6 А. 1 В. 3 С. 1 and 3 D. The f...

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Q: 39. Determine the value of b such that the function х -а х>3 f(x) = } -2 x = 3 (ах — b х <3 is conti...

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: 2 Part 2. Free-response Questions- Show all your work for each of the problems. (1) Find the exact v...

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Q: Find the surface area of revolution about the x-axis of y = 2x +7 over the interval 1 < x < 4 O O us...

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Q: (2² - ) 3 15 z = 7 2t2

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

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Q: Evaluate the following indefinite integral (sin z)(tan z) dr. cos I

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Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y no matter what value the constant k has...

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Q: Graph the function, considering the domain, critical points, symmetry, regions where the function is...

A: topic - sketch of a function

Q: its principal argument. 12. Suppose the complex number z is situated along the real x axis, then the...

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Q: c notation and fractions where needed.)

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Q: Find the family of curves orthogonal to the family 4y2 + 3x2 = k when x > 0 and y > 0. (A) 3y2 – 4x2...

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Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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Q: 1. Find the volume.fthe Solid..endlosed by. the pavabaloids 2 and.. z=18-X. 2 Za x-y Ans..81...

A: Given

Q: Suppose that f(x, y) = e"/♥ on the domain D = {(x, y) | 0 < y < 1,0 < a < y*}. Then the double integ...

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Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: The objective is to write the required differential equation.

Q: Find the area of the region under the graph of f(x)=2x2−4x+2 on [−2,3].

A: The area can be calculated using the concept of definite integral.

Q: x* + x3 x2 +1 플+미2+11+ tan-1 x*C C In x + 1| + tan-1 x +C 3. 쪽-1n x2 + 11 + tan-1x +C D In Jx2 +1| +...

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Q: Consider the function f(x) = 2x3 – 6æ² – 48x + 3 on the interval [-5, 8]. Find the average or mean s...

A: mean value theorem

Q: If the Reference angle was e: What are the angle in the 4 quadrants.

A: I am attaching image so that you understand each and every step.

Q: Find an equation of the tangent(s) to the curve with parametric equations E = t cos t, y =t sin t nt...

A: follow next step

Q: Show that the function f(x) = |x - 2| is not differentiable at 2. We have if x 2 2 f(x) = |x - 21 = ...

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Q: Graph the function f(x) = x+4/x Graph the secant line that passes through the points (1,5) and (8,8....

A: To graph the function fx=x+4x.To graph the secant line that passes through the points 1, 5 and 8, 8....

Q: If $700 is invested at interest rate i, compounded annually, in 3 yr it will grow to an amount A giv...

A: I am attaching image so that you understand each and every step.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A: Here we have to find the given inverse Laplace transform.     L-1[(6s-12)/{(s2+s)(s2+1)}]

Q: Use an appropriate trigonometric substitution to evaluate the following definite integral 1 2+1 da. ...

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Q: The limacon r = 2+ cos 0

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Q: Graph the function f(x) = x + 4/x Graph the secant line that passes through the points (1,5) and (8,...

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Q: x - 3x?y = C

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Q: 9. (2y2 + 2y + 4x?)dx + (2xy + x)dy = 0; when x=-1 and y=0 %3D 10 v-5du -4dy -vdy. hon vー

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Q: Let y = 2/ī. Find the change in y, Ay when x = 2 and Ar 0.1 Find the differential dy when z = 2 and ...

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Q: R = {y^2=x-1, x=5}   Can you help me answer this, its about area in calculus. That's the only give...

A: Explained below 

Q: Evaluate the improper iterated integral. 1/x5 y dy dx

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Q: (a) For what values of x is the following series convergent? 00 enx n=0 (b) Find the value of x that...

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Q: Sketch the region cnclosed by the given curves

A: y=x-2y=x-2

Q: By applying Rolle's theorem, check whether it is possible that the function f(x) = a° + x – 6 has tw...

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Q: Recall y" Second Derivafive Analy'sis goals O track intervals of positive $ = -6x(x²_ax+4) (xta)? (x...

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Q: Find the sum of the infinitie geometric series. (If an answer is undefined, write UNDEFINED.) 64+56...

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Q: 11. Identify the correct mapping rule for the following transformed function: * f (x) = -V-2 (x + 6)...

A: The objective is to identify the correct mapping rule. 

Q: a) Determine the second derivative of the following i) g(x) = - ii) h(x) = Vx³ + x – 1 %3D

A: We have to find the derivative of the given functions.   According to our guidelines we can solve on...

Q: Question 2 Find the left-hand and right-hand limits of the following functions and check whether a l...

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Q: Sxcsc²(x)dx = -xcot(x) + In(sin(x)) + c

A: We have to find value of u and du

Q: Write a differential equation that models the given situation. The stated rate of change is with res...

A: Given the situation The rate of change of the radius r of the snowball is inversely proportional to...

Q: 2x2 Use the guidelines to sketch the curve y = - 1 A. The domain is {x | x? - 1 + 0} = {x | x * ±1} ...

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Q: Which of the following is equivalent to the surface area of rotation of the function y on the interv...

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Q: Let f (x, y) = 3x – 2²y. x = -t, y = s + 2t dz dz Use an appropriate chain rule (involving , , etc.)...

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Q: of the component of the vector AP that is orthogonal to the vector AB. L A B Use the method above to...

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Q: 11. Determine the values of n and h required to approximate e2r sin 3x dx to within 10-4. Use a. Com...

A: I am attaching image so that you understand each and every step.