Find the antiderivative or integral of each of the following SHOW STEP BY STEP SOLUTION 1 xsech=x²dx 3

Q: 3² Find the equation of the tangent line to the curve (an ellipse) + = 1 at the point (-2,√108). The…

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Q: Let-3x³ + 4y³ + 4z³ - 2xyz +428 = 0. Əz Əz Use partial derivatives to calculate and at the point…

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Q: 12) A ship travels 28 miles per hour for 2 hours at a bearing of N 30° E. It then changes course to…

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Q: Let g(x) be the inverse of f(x) = x³ + 5x + 2. Note that f(1) = 8. Calculate g(8), without finding a…

A: Given that g(x) is inverse of f(x)=x3+5x+2,  and f(1)=8

Q: Find the centroid (x, y) of the region bounded by π π and y 0. : = y = 7 cos(3x), x 6' X - 6'

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Q: Prove the following statement: (a) There are real numbers a and b so that (a + b)^3 = a^3 + b^3.

A: Given that, there are real numbers a and b so that a+b3=a3+b3. We have to prove the given.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: a) BE b) BC c) DF d) CD B 8 c) 52 d) 62 E 14 7 C 5 2 11 3 9. The tree described in problem #8 is a…

A: Given that ,

Q: If ds dt a. b. dr dt dr dt the surface area, S, and radius, 7, of a sphere are changing with respect…

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Q: Express the solid described below as a double integral in polar coordinates: A. 8. * * TV9-F³ dr de…

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Q: Solve for x. log3 (9) - log3(x) = 6

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Q: Determine the derivatives, dy a.y = log3 (7) → da b.y = ln (2³) dy → c. y = In (7x) → d.y= log3 (2)…

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Q: Consider: f(x) = x5 In (x) At which x-value(s) do the local maxima/minima occur? (Hint: Because of…

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Q: Let f(x) = X Use logarithmic differentiation to determine the derivative. ƒ'(x) = ƒ'(1) = 8x

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Q: hypotenuse

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Q: Find the length of the curve. r(t) = (st 3 co

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Q: Differentiate the function. f(x) = 5x ln(2x) − 5x

A: Given query is to find derivative.

Q: 9. Which of the following equations is (are) Bernoulli? dy (A) y + ln y = tan²(x + 5) dx (1+y)y =…

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Q: Solve for x. log3(x − 8) = 2

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Q: A book store manager observes that the number of magazines sold seems to vary inversely as the price…

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Q: The endpoints of a diameter of a circle are shown. Find the center and radius of the circle. (-2,2)…

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Q: b) Evaluate the Limits; J 2. lim (ex + x)²/ 818

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A: The equation of the curve is siny+3x = y2 The point is x0, y0 = π23, π (a) Verify that the given…

Q: After a baby Fluffrat is born, its rate of growth, (in ounces per week) is given by the function…

A: Let us suppose the weight of Fluffratt is Wt such that  rt = dWdt = Rate of growth To interpret:…

Q: Prove formally using the e-8-criterion that the function x² +1, if x < 1, 2, if x ≥ 1. is continuous…

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Q: Determine the end behavior of the graph of the function. 1rº- -54-5 3 f(x) = As .x → − ∞, ƒ (x) → ,…

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Q: The graph of the derivative ƒ' of a continuous function f is given below 40- 20- -65 -4 -3 -2 -19 20…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: Spending on Corrections in the 1990s The following table shows the annual spending by all states…

A: Spending on Corrections in the 1990s   The following table shows the annual spending by all states…

Q: A bug is moving along a straight wire. Its acceleration (in inches per minute per minute) after t…

A: given  A(t)=-12tgiven V(3)=50 inches per minuteS(0)=40 inches V(t)=∫A(t)dt∫tndt=tn+1n+1+c

Q: Calculate the center of mass for the following collection of point masses on the real number line.…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 4x²+x+27 [ x3 +9x 3)…

A: Given integral:- ∫4x2+x+27x3+9xdx

Q: Find the area between y = 2 sin x and y = 9 cos x over the interval [0, π]. Sketch the curves if i…

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Q: Find T, N and B for the curve r(t) = (4 cos(5t), 4 sin(5t), 2t) at the point t = 0 Give your answers…

A: To find T→, N→, and B→ for the curve r→t=4 cos5t, 4 sin5t, 2t at the point t=0.

Q: Find the area of the given region. Use a graphing utility to verify your result. (Round your answer…

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Q: 8 Σ n=0 1+ ท 8 | ท

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Q: Current Attempt in Progress Apply the divergence test and state what it tells you about the series.…

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Q: Solve for x. log₂ (x − 28) = 3 X = (Separate answers by a comma.) If the answer is radical use…

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Q: Find the general term of the series and use the ratio test to show that the series converges. 1.22…

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Q: Differentiate R = esin(58) Answer: 0 dR da

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Q: Let a = (6, 3, 2) and b = (4, 6, 6).

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Q: Find the derivative of the function at Po in the direction of A f(x,y,z) = xy + yz + zx, Po(1,-1,2),…

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Q: A street light is mounted at the top of a 15 ft tall pole. A man 6ft tall walks away from the pole…

A: A street light is mounted at the top of a 15 ft tall pole. A man 6ft tall walks away from the pole…

Q: dy Which of the following statements is true about the DE, dx (A) The given DE is separable and…

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Q: Suppose that ƒ(ï) = 14eª – exº. Find ƒ¹(3). ƒ¹(3) =

A: Given query is to find indicated derivative.

Q: Identify the location and value of any relative maxima or minima of the function. If there is more…

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Q: Solve

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Q: Are the following functions strictly convex, concave or none of the above? Explain your answer. (a)…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the linearization L(x,y) of the function f(x,y) = e cos (9y) at the points (0,0) and 0,

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Q: Cos 42 Use logarithmic differentiation to find the derivative of the function y = x Answer: y' =

A: Given query is to find the derivative of the function.