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Q: Use a double integral in polar coordinates to find a such that the volume inside the hemisphere z = ...

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. 1 + 1 +X ...

A: Given, f(x)=ex+11+x At x=0

Q: Find the value of the objective function z = 40x + 50y at each corner of the graphed region. What is...

A: Given objective function - z = 40x+50yThere are four corners, let they are A, B, C and DA = 0, 8B = ...

Q: 5 y In the triangle shown above, if 0 increases at a constant rate of 3 radians per minute, at what ...

A: In the triangle, θ increases at a constant rate of 3 radians per minute. To determine the rate at wh...

Q: How do you find the exact values of each of the integrals

A: Since you have asked multiple questions in a single request, we will be answering only the first thr...

Q: o. Find the area of the region bounded by the curve y =x csc²x, the x axis 1 and the lines x = 1 =t ...

A: Answer and explanation is given below

Q: 1. If F = (2z+ y,z, 2y+ x) and n is a unit vector in the y-direction, (V×F)·n equals (a) (0,1,0). (b...

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Q: If (3n+2)! An? + Bn + C (3n)! determine the integer values of A, B, and C.

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Q: You are getting married and your dearest relative has baked you a cake which fills the volume betwee...

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Q: 7. Stokes' Theorem is a generalization of the (a) fundamental theorem of line integrals. (c) circula...

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Q: Use logarithmic differentiation to find the derivative of the function. y = V 3x + 5(4x- 3)* y' =

A: ln(a b)= ln(a)+ln(b)ln ab= b ln (a)Derivative formuladdxln (x)=1x

Q: Vrite the given equation using polar coordinates

A: Given that: The equation is x2 = 18 y . The letter x and y represent rectangular coordinates.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...

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Q: Water runs into a conical tank at the rate of 9 cubic feet per minute. The tank standspoint down and...

A: Given that: Water runs into a canonical tank at the rate of 9 cubic feet per minute. dvdt  = 9 ft3 /...

Q: The population of California was 29.76 million in 1990 and 33.87 million in 2000. Assume that the po...

A: Given P=29.76 million t=1990=0P=33.87 million 2000-1990=10

Q: - 21x -1). Use series to evaluate lim 6x (e lim 6x° (e -2/x² -1) -O (Simplify your answer.)

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Q: p = 700 – 0.01x In(x) where x denotes the number of yachts and p is the price per yacht in hundreds ...

A: Given: (p)=700-0.01xlnx  

Q: nd is equal to n=

A: Given that: The function is f (x) = sin2 15xx2  , x≠0n,                 x = 0 .  

Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: S r(t) = 2t2 l y(t)...

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Q: Find the distance from the point (4, 3, 0) to the x-axis

A: To find the distance from the point (4, 3, 0) to the x-axis

Q: Can someone explain in laymen terms what is the difference in  Log Natural Log (ln) and "e" And what...

A: The number "e" is a constant in mathematics the value of which lies between 2 to 3. That is 2<e&l...

Q: Suppose f(x) = integral -7x   tcos ( 1/1+t^2) dt.  Find f'(x)

A: Given,           fx=∫-7xtcos11+t2dt

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines att = ...

A: The above plot is given bteween A(x) and x Different value of x gives different value of A(x)

Q: If you are offered one slice from a round pizza (in other words, a sector of a circle) and the slice...

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Q: The Great Recession of 2007–2009 is largely attributed to the real estate crisis beginning in 2006, ...

A: Given that  t is time in years since January 2006 So, 2006 means t=2006-2006=0 To find the total num...

Q: Thanks

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Q: power series: using the Ratio Test or the Root Test to determine the radius of convergence, and indi...

A: Given  

Q: Evaluate the integrals for f(x) shown in the figure below. The two 1.0 1,0 -1 a) So 3f(x) dx = %3D b...

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Q: If f(x) = cos(x)    0 ≤ x ≤ 3?/4 evaluate the Riemann sum with  n = 6,  taking the sample points t...

A: Number of subintervals=n=6So the width of each subinterval=3π4-06=3π4×16=π8So the partition is= 0, π...

Q: this is a calculus problem.  A company is manufacturing a trash can with a volume of 4 cubic ft that...

A: Volume of trash = volume of cylinder + volume of  hemisphere  = 4 ft3  volume of cylinder + volume o...

Q: Find q' (x) from q(x) = -5x³ + x2 – 3x – 3 using the definition of a derivative. (Do not include "q'...

A: Given, q(x) = -5x3 + x2 -3x -3  Differentiating q(x) with respect to x  d[q(x)]/dx = q'(x) q'(x) = d...

Q: Evaluate the given integral by changing to polar coordinates. (4x - y) dA, where R is the region in ...

A: Given: I=∫∫R4x-ydA The equation of circle is, x2+y2=16.

Q: Find the solutions in the interval [0,2pi)

A: Given a>0b>00<u<π20<v<π2sinv=ba2+b2cosv=aa2+b2

Q: Thanks

A: Consider the graph of the function

Q: 7. If you invest $3200 at 3.5% compounded monthly how much will you have at the end of 4 years?

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Q: df Let f(x) = 7x° - 13x - 6, x2 1.5. Find the value of at the point x = 234 = f(4). dx df at the poi...

A: The given function is: fx=7x3-13x2-6 Differentiate the given function with respect to x. f'x=21x2-26...

Q: what is the answer to this?

A: GIVEN DATA : A one dimensional wire of Length is 5m                         Density function of wire...

Q: Find a and b such that v = au + bw, where u = ⟨1, 2⟩ and w = ⟨1, −1⟩. v = ⟨−1, 8⟩

A: Given that v = au + bw. Substitute u =<1, 2> and w= <1, -1> in v. v=-1,8au+bw=-1,8a1,2+b...

Q: Determine the interval(s) on which the following functions are contimuous. At which finite endpoints...

A: Given- fx=2x2-16 To find- The intervals in which the above function is continuous. Concept Used- For...

Q: 8. How long will it take for the $3200 to double compounded monthly at 3.5%?

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Q: g(x)<h(x)forx∈(0,1)∪(1,2) both limx→1g(x)andlimx→1h(x) exist.   True or false?

A: in this question, we have g(x)<h(x) for x∈(0,1)∪(1,2)  

Q: Suppose a product has a daily marginal revenue MR = 50 and a daily marginal cost MC = 30 +x, both in...

A: Given Data: The marginal revenue is: MR=50 The marginal cost is: MC=30+15x The fixed cost is: FC=$24...

Q: The seats of a Ferris wheel are 40 feet from the wheel’s center. When you get on the ride, your seat...

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Q: Derivatives Find and simplify the derivative of the followingfunctions

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