Compute the average value of f(x): = Average value = X 1 4x + 3 on the interval [2,6].

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: e area under the given curve over the indicated interval. 8) y = 7; [2, 9] 8- 7- S 4+ 3+ 2+ 1 A) 14…

A: Given query is to find the area of the curve.

Q: ing or decreasing.

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

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: Consider the differential equation given by: = -3y + 18 dt (A) What is the equilibrium solution? (B)…

A: Note:- These are multiple subparts question and according to company guideline we can do maximum 3…

Q: Find all the values of x such that the given series would converge. ∞ n=1 n!

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Q: Part 2: An old study about 1,800 U.S. colleges and universities resulted in the demand equation q =…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: A cylindrical soup can has a diameter of 3 in. and is 4.7 in. tall. Find the volume of the ca in.3…

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Q: N18 The Ratio Test was applied to a power series and simplified to lim (3x - 1). convergence? 1 R =…

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Q: 5. Let A, C 0 and A# C. Solve for x A(x + B) = -C(x - D) +2

A: The given equation, Ax+B=-Cx-D+2, A,C≠0 and A≠C. We have to solve this expression for x.

Q: Determine whether the series is convergent or divergent by expressing s, as a telescoping sum. If it…

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Q: Find the equation of the ellipse with foci at (0, ±10) and vertices (± 8, 0)?

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Q: 12. Evaluate the line integral rey ds where C is the line segment from (2,0) to (5.4)

A: We have to evaluate the given line integral.

Q: A manager at the Black Box microprocessor manufacturing company finds through data gathered in…

A: we need to find the cost function and fixed costs.

Q: Given the graph of f(x) and the labeled areas, 5 find f(x)dx S₁ 0 5 [ f(x)dx= 0 A=13 B=5 C-6 +15

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Q: Which of the following differential equations are separable? Select all that apply. 0 0 0 dy da dy…

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Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

A: st=600et If f(x) is a continuous function on interval [m,n] , then it’s average value on [a, b] is…

Q: that 1+2i is a zero of the polynomial f with real coefficients. Which of the following statements is…

A: Given query is to find the incorrect statement.

Q: 2. Find the area of the region bounded by the curves y = f(x)=x²-3x and y = g(x) = -2² +9

A: we need to find the area bounded by the curves

Q: Find the surface area of the rectangular solid with with length 1 = 9.3 m, width w = 5.4 m, and…

A: Solve for the surface area of the given figure

Q: Convert the equation to polar form. (Use variables r and as needed.) x = y

A: To convert the equation in polar form. x=y

Q: Which of the following cannot be the number of real zeros of a polynomial of degree 5 with real…

A: We are required to find   Which of the following cannot be the number of real zeros of a…

Q: 15. Determine lim x→4 1 x2-2 3 x2-8

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Q: A stone pyramid in Egypt has a square base that measures 158 m on each side. The height is 92 m.…

A: Given Data   Base (B)=158 m  Height (H) =92 m

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A: We need to solve the given integration.

Q: 3. Find the volume of the parallelepiped determined by the vectors ū₁ = (1,1,1), ū₂ = (1,3,-4), z =…

A: We need to find volume.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: Let's find average height.

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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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: x = 1 - y², x = y²-1

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Q: Let f(x) = Compute ƒ(1) ƒ'(1) ƒ"(1) || f" (1) _f(iv) (1) = ƒ(¹) (1) = 4+6x x

A: Since you have asked multiple part  question, we will solve the first 3 part of the question for you…

Q: Find the arc length of the following curve on the given interval. R|N JU x = 3 sint - 3t cost, y = 3…

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Q: Suppose f'(x) = x4+x³-6x². Determine the value of x where f has a relative minimum value. (A) -2 B)…

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Q: If xy = 3 - 2x then find d'y dx² at the point (-1,5) in simplest form.

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Q: Does the infinite series O It converges. O We don't know. 10++ + 10 53/2 + converge or diverge?

A: Please see the below picture for detailed solution.

Q: Find sin 2x, cos 2x, and tan 2x if tanx =-3/2 and x terminates in quadrant IV

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Q: 6.2 If 20% of x equals 7, what is x?

A: Solve the following

Q: 31 If f.3² f(x) dx = 12, then compute the value of the following definite integral. f(4x + 3) dx

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Q: Find the area between f(x) = x² - 16 and the x-axis from x = 0 to x = 8.

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Q: 3 – (-4) + 6 solve

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Q: A particle is moving with v(t) = t²-3√t. Find the position of the particle (i.e. distance function)…

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Q: Find the exact value of each expression. (Enter your answers in radians.) sin (sin (3x)) 4 (a)…

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Q: Solve each of the following s-domain functions into partial fractions:

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Q: . Find the arc length of the graph of the function y = ln(cosa), 0<x< 3

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Q: company manufactures mountain bikes. The research department produced the marginal cost function…

A: Given query is to find the increase in cost for indicated production level.

Q: Let S be the surface of the sphere of radius 1 and center at (1,1,1) that is oriented outv Let F: R³…

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

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Q: Approximate the area under the curve y = x² from x = with 4 subdivisions. 1 to x = 3 using a Right…

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Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) f(x) =…

A: We have to slove above questions