dR 22 dt 3 R(1) 56

Q: The function f(x) = sin(72) has a Maclaurin series. Find the first 4 nonzero terms in the series,…

A: Since you have asked more than one question. I have done first for you. If you want answer of more…

Q: A tank contains 500 m³ of solution with 12 kg of dissolved chloride. A water enters the tank at rate…

A: Let's find amount of salt in the tank after 5 minutes.

Q: Consider the region enclosed by x + 3y = 36 and x + 4 = y². Using integrals, the area of this region…

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Q: Find the reference angle for the angle given below. 4π/3

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Q: 22. Eliminate the parameter from the parametric equations x= -√fy-4t+20sts4

A: To eliminate the parameter to get the Cartesian equation

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 400…

A: A microwaveable cup of soup package needs to be constructed in the shape of a cylinder to hold 400…

Q: y = x = 4t 5, y = 5t + 1. X 2 XX ZA 4 2 -8 ***** -8 …i -6 -4 WebAssign Plot -6 -4 -2 2 2 4 4 6 6 X 8…

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Q: 1. Convert each of the following radians to degrees and sketch the angle measure: a. π/6 b. π/4 C.…

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Q: What is the minimal degree Taylor polynomial about x = 0 that you need to calculate sin(1) to 3…

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Q: Differentiate implicitly to find d2y/dx2.   x3−y3= 10

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Q: Consider the function Compute f"(x). X = 66²⁰ - f(x) = -3t²- f"(x) = -4t+ 3 dt.

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Q: Speedometer readings for a vehicle (in motion) at 14-second intervals are given in the table. t…

A: we need to find the distance travelled

Q: Definite Integrals Course Packet on the average value of a function Compute the average value of…

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Q: Calculate the indicated Riemann sum S3 for the function f(x)=x²-8x-33. Partition [0,6] into three…

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Q: Use the ratio test to determine whether m an+1 an n=21 = lim n-→∞0 9n Find the ratio of successive…

A: Given query is to apply ratio test.

Q: Compute the definite integral (Hint: You will need to use integration by parts twice). fe 0 -X е cos…

A: ∫u.vdx=u∫vdx-∫dudx∫vdxdx∫cosxdx=sinx+c∫sinxdx=-cosx+c

Q: Find the area under the given curve over the indicated interval. 28) y = 7; [2, 9] 9+y 8+ 7+ 6+ 5+…

A: We have to find area of the given curve y=7 on the interval 2, 9. There will be two methods to find…

Q: You are planning to make an open rectangular box from a 24-in.-by-47-in. piece of cardboard by…

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Q: A 13-foot ladder is leaning against a vertical wall (see figure) when Jack begins pulling the foot…

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Q: Ify = Σo(k + 1)xk+3 then y' = Σ ο

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Q: 3. Chapter 15 Review 37: Convert to spherical coordnates and evaluate: 4-x² LENT 4 x² - y² e-(x² +…

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Q: 0. A footbridge is to built across a small lake from a gazebo to a dock. From a tree 100 yards from…

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or…

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Q: 8 n=0 1 (-3)" 4n+1 4 = What is "a?" Show your work. Box your answers. Given the following geometric…

A: Given the following geometric series, to determine the following:∑n=0∞ -3n4n+1=14-316+964-...To…

Q: Find a formula for the inverse of the function. y = 6 In(x-4) y =

A: The given function y=6 lnx-4. We have to find the inverse of the function.

Q: Owners of a recreation are filling a small pond with water. They are adding water at a rate of 30…

A: Please see the below picture for detailed solution.

Q: 19.

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Q: (9) 3 ov 1-1) dx

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Q: Find the indefinite integral (for x > 0) on the domain of positive real numbers. Remember to include…

A: To evaluate the given indefinite integral.

Q: Find the average value of the function f(x)=x²-7 on [0,6]. The average value of the function…

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Q: (a) If g(x) = 2x + 2 and h(x) = 4x2 + 8x + 9, find a function f such that fo g = h. (Think about…

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Q: Find the elasticity. 22) q = D(x) = 200 - x 1 A) E(X)= 200-X C) E(x)= x(200 - x) B) E(x)= D) E(X)= X…

A: Given: q=Dx=200-xTo find the elasticity.

Q: Evaluate the surface integral. x²yz ds, S is the part of the plane z = 1 + 2x + 3y that lies above…

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Q: 3x √e³x dx = 0 (Type an integer or decimal rounded to the nearest thousandth as needed.)

A: ∫eaxdx=eaxa+c

Q: Looking up Kevin sees two hot air balloons in the sky. He determines that the lower hot air balloon…

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Q: lim (2x² - 6x - 3). x-3

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Q: A sports ball has a diameter of 11 cm. Find the volume of the ball. Round your answer to 2 decimal…

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Q: Solve 7x + 5 = 3x –  11 then  x =

A: we have to slove the above question

Q: Parameterize the plane through the point (-1, 1, -3) with the normal vector (4, 1,-2) *(s, t) = (Use…

A: To parameterize the plane through the point -1, 1, -3 with the normal vector 4, 1,-2.

Q: Find the surface area and the volume of each figure. Give the exact answers and the approximations…

A: We can find the surface area and the volume in the below steps.

Q: ing or decreasing.

A: We have to find the following conditions according to the given information

Q: Show the solution : S (sinx + cos x) dx sin²x answer: -In /cotx + cscxl-cs

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Q: Use sigma notation to write the Taylor series about x = xo for the function. cos(-5x), xo = -0.…

A: The function is given as , fx=cos-5x and x0=-π10 Write the Taylor series about x=x0.

Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

A: let the length of square is   x meter given  dxdt=4 msec.there for area of square is  A=x×x=x2

Q: Find the area enclosed by the curves f(x) = 36 - x² and g(x)=x². The area (rounded to two decimal…

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has…

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Q: Find the most general antiderivative of the function where A. f(x) = 4√x - 6x² +3 B. f(t) = 2t-3sint…

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Q: Find the displacement of a particle moving in a straight line with velocity v(t) = 30t - 5 m/s over…

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Q: Find the nth Maclaurin polynomial for the function. 4x - 3 x + 1 n = 4 P4(x) = eBook f(x) = X

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Q: Write an equation for the following conic section A parabola with focus at (-3,2), directrix x = 1

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