Question 1 Determine whether the integral is improper 5 (x– 4) -Idr Not improper

Q: Q2) Convert the polar function r tan20 to cartesian. %3D

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Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

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Q: nswer.

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Q: Find for the Implicit function: dx x2 – sin(xy) + y? = 5xy

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Q: Use the matrix capabilities of a graphing utility to find the inverse of the matrix (if it exists).…

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Q: Jackie wants to design a cylinder shaped container to hold popcorn. Each container will be made from…

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Q: Describe the graph of the equation. (8 – 21) i + 13rj r = O It is a plane in 2-space through the…

A: I have appended the formula used in the solution part.

Q: An automobile traveling at the rate of 20 m/s is approaching an intersection. When the automobile is…

A: This question an be solved using the concept of rate of change of physical quantities.

Q: Determine whether the integral is improper (x-4) -'dx A Improper B Not improper

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Q: dy Q4) Find for the following functions dx 1. y = 2x? + e2x-1 2. y = sec x tan x 3. y = t2 + 2t t =…

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Q: Q2 Obtain the general solution for the following differential equation. (a) y" – (a + B)y' + aßy = 0…

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t= 8

A: Given,            rt=t2-8i+tj ; t=8To find : Tt and Nt at the given point.We know that,…

Q: A cup of hot coffee is placed in a cold room. The temperature (in degrees Fahrenheit) of the coffee…

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Q: Find the area of the shaded region. The image is not to scale. y = F y=- Consider c=64. Enter the…

A: If f(x) and g(x) are continuous on [a, b] and g(x) < f(x) for all x in [a, b] then the area…

Q: a) Find the linear approximation of f(x) = Vx b) Use it to approximate V26.9 at x= 27 %3D

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Q: What is the volume of the solid formed by revolving the region bounded by 8y = x2 and 8x = y? about…

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Q: If possible, find AB and state the order of the result. (If not possible, enter IMPOSSIBLE.) -1 6 3…

A: Given A=-16-3504 & B=3209 To find AB:

Q: Q3) Evaluate triple integral f, (x2 -y²)dz dx dy.

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Q: Question The piecewise function f (x) is graphed below. Use geometric formulas to evaluate the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. F(x) = xe¬x²/128,…

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Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 eCos-1x 5. S V1-x2 6. Se…

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Q: Find the area of the region bounded by: r = 5 – 3 sin 0

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Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: APPLICATION I. Find the antiderivatives of the following functions using the substituion rule. Write…

A: Solving the problem by finding the value of the integrals.   NOTE :: As per our Expert guidelines we…

Q: Let C1 be the curve with parametric equations x = cos t, y = sin t – t, where t E [0, 5]. (a) Find…

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Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

A: Let's find.

Q: Use De Moivre's theorem to solve for z given z = 3 – 2i. Write your answers in rectangular form. Use…

A: Given: z5 = 3-2iz   = 3-2i15                                     1-------------------De-Moivre's…

Q: Q2) Find the integral value for the following functions dx 4. S x2Vx2-1 ecos-1x -xp- V1-x 5. S 6. Se…

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Q: Find the area of the shaded region Blank 1 Note: Enter exact answer x = y 20 1000 y? 20

A: x=yx=1000y2Solve both the equationsy=1000y2y3=1000y=10The limits of y are from 10 to 20.

Q: 7. S(x – 9)7 dx 8. S: r5 dr V3-r6

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Q: Determine the value of 5A+6M if 2x4 + 3x3 +8x2 + 14x + 3 A x-3 х — 3x + M - x(1 + x2)2 1 +x2 (1…

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Q: The discontinuities of the function f(x) =D 4x-9 are: x²-2x-15 Select one: O 5,3 -5, -3 -5,3 O 5,-3

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Q: 3y 6. S dy y-3 7. SVIV7+xVx dx 8. S dr V1+r3

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Q: 2 2 of

A: Please see the answer below.

Q: Find the integral value for the following functions

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Q: Find an equation of the tangent line to the graph of y = x^3 − 1 at the point where x = 2.

A: To find the equation of the tangent line at x=2.

Q: Solve for the indicated higher-order partial derivatives, fæx, fæy, fyy- · f(x, y) = Vx² + y?

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Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i - 7j+ k) i+ i j+ i

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Q: Find the equation of the tangent line to the curve y 3 sec z 6 cos z at the point The !! equation of…

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Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim r14 (Yx+5)-3

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Q: 1 Find Vf if f = 2 /x²+y² +z?

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Q: The line given by r (t)=(14+5t, -3t, 1+7t) and the line given by r(t) =(3-3t, 5+2t, -2+4t).

A: Follow the procedure given below.

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) (t) = (e-e 2 %3D L{f{t)}…

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Q: a. Suppose that Miller Corporation can produce 3500 refrigerators when the number of hours of…

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Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t < v2 In 5 NOTE: Enter the exact…

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Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: Find the arc length L of the graph of r(t). r(t) = 4 cos(t)i + 4 sin(t)j+ tk, 0<t< 2m L

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Q: 4. coth(ln x)

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Q: A piece of cardboard measuring 11 inches by 9 inches is formed into an open-top box by cutting…

A: A piece of cardboard measuring 11 inches by 9 inches.

Q: Using shell method, find the volume generated by revolving the area bounded by y = 2x – x2 ; y = 0 ;…

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