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Q: Find the equation of the quadratic function fwhose graph is shown below. 10. (-2,7) (-3,4) 5 f(x) =…

A: as shown parabola opens downward so standard equation y = -a( x - h )2 + k

Q: From a group of 8 people, you randomly select 5 of them. What is the probability that they are the 5…

A: given  group of 8 people randomly selected  5 of them

Q: Determine whether the series Σ=1 1 1+√n is convergent or divergent.

A: Series   ∑n=1∞  11+n

Q: = Find the volume of the parallelepiped determined by the vectors a c = (2, 3, 1). Volume =…

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Q: Evaluate the integral. 16 16 1 13 cosh (√x) √x dx 13 cosh (√x) √x 1 (Type an exact answer.) dx =

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Q: TechWiz Electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold.…

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Q: Find the derivative. ya 7 lnx Ox7-1 O 7ex7 x 07x Ox7 et dt

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Q: Find the derivative. cot @ de cac²y dy 70/4 O csc² (cot 8) O csc² 0 cot 0 O-csc²0 csc² (cot 8)…

A: Given query is to find indicated derivative

Q: 1 In 10 \ 10 dx X

A: Integral

Q: 1. Find the equation of the tangent line to the curve y = lnx² that is parallel to the line y = x.…

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Q: 7. Find a power series representation for the function and determine the interval of convergence.…

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Q: Use implicit differentiation to find dy dx 4xy + y2 = 3x + y dy dx

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Q: For items 4 and 5, consider matrix B. A. 4. Which of the following is a correct eigenpair for the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S,…

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Q: should be used to estimate the sum of the entire series with an error of less than 10-6 (-1)k (3…

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Q: Use the binomial expansion to determine the first four terms in the Maclaurin series expansion of…

A: We have to find the first 4 terms of McLaurin series.     According to our guidelines we can solve…

Q: 6. (1 + x)y' + y = √x

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Q: Evaluate the surface integral 3 z do, S where S is the portion of the plane x + 2y + z = 2 lying in…

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Q: Suppose that F(x)=f(g(x)) and g(14)=2, g'(14)=5, f(14)-15, and f(2)=11. Find F(14). O 17 O 20 24 O…

A: Given query is to find indicated derivative

Q: Assume that x=x(t) and y=y(t). Let y=x3+3 and dx/dt​=5 when x=1.   Find dy/dt when x=1.

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Q: Complete parts a. and b. below. a. Prove that f(x)=x- In x is increasing for x> 1. First, find the…

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Q: 3. Find the value of a if the two curves y = e¯* and y = eax are to intersects at right angles.

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter.…

A: The given series ∑n=1∞-1n3nn 2n. We have to check the convergent of the series.

Q: For the following function f, find the antiderivative F that satisfies the given condition. 1 F(v) =…

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Q: why it was converted to RCS?

A: The CCS is converted to RCS system to get the vector BA.  The vector calculation is easier in RCS…

Q: The function f(x) f(x) = Σ n=0 wwww Chan. 9 (1 – 2x)² is represented as a power series

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Q: 7. Find N such that for the convergent series Hint: Integral Test Error Estimation. RN ≤0.001 ∞ Σ…

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Q: If 2x² + y² = 19 then evaluate when z = when = 3 and y = 1. (Answer accurate to two decimal places.)

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Q: Determine the amplitude of the function whose graph is given below. Give your answer in exac form…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Problem 9. For a continuous bar that is fixed at both ends and has c(x) = 1, find the displacement…

A: We need to find displacement.

Q: d da -(10²) = x10²-1

A: To determine whether the following statement is true or false.ddx10x=x 10x-1

Q: * 5. Evaluate x = t² [(z)dx (z)dx + (x)dy + (y)dz C given by y = t³ for 0≤t≤1 z = t²

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Q: Determine the radius of convergence of the following power series. Use the Ratio Test or the Root…

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Q: Evaluate 9x 9 (2x - 3)(x + 3) T -dx +C

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Q: = 9 to x = 15. Find the area of the region under the graph of f(x) = e-*/³ from * = O e (e-1) O e 5…

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Q: Determine the following derivatives without simplifying either before or after.

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Q: A A A -C B в М

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Q: A university alumni group wants to provide a semiannual scholarship to current students. If the…

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

A: To find the Maclaurin series for the function.fx=ln1+x3

Q: The graphs of a function f(x) and its derivative f'(x) are hown below. Decide which is the graph of…

A: Given query is to find the graph of function and it's derivative.

Q: Find the average rate of change of the function over the given intervals. 3 f(x) = 4x³ + 4; a)…

A: Given query is to find average rate of change.

Q: The force on a particle is described by 4x³ + 6 at a point a along the x-axis. Find the work done in…

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: To apply integral test and check the convergence

Q: Find the exact length of the polar curve described by r = 6e-0 7 on the interval ≤ ≤ 8π. π

A: formula for are length is  L=∫abr2+(drdθ)2dθdeθdθ=eθ

Q: Find the tangent line to the ellipse 0y-x-8 0,-1,-√7 y = 14 0y=-√14x-7 O None of these ○ y = √7x-8 1…

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Q: Consider the graph of the function f(x) = Provide your answer below: x² 6x - 27 x² + 3x - 4 What are…

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Q: The length of a rectangle is increasing at a rate of 7 cm/S and its with is increasing at a rate of…

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by…

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Q: Given the following functions, compute the composition (fog)(x). f(x) = 8x + 5 g(x) = 9x - 3…

A: To find (fog)x

Q: Find the area of the surface. The part of the plane z = 9 + 3x + 5y that lies above the rectangle…

A: Given  plane z =9 + 3x + 5y  lies above the rectangle [0,9] x [1,4]