Write the exponential equation as a logarithmic equation. e0.75 = 2.1170...

Q: Let u = (5,-4) and v= (-4,7). Find the (a) component form and (b) magnitude (length) of the vector.…

A: The vectors are given by(a) The component form of the vector  can be obtained as follows:

Q: 5 (x-2) n²+1 n=1 Find the radius of Convergence R₁ of the series. Find the interval of convergence,…

A: The given series is summation of(x-2)n/(n2+1), n from 1 to infinity.

Q: Find all of the real and imaginary zeros for g(x). g(x)= x³ + 11x² + 25x +63

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Q: (Technology Permitted) Find the area of the region enclosed by the graphs of f(x) = - 3x +6 and g(x)…

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Q: The function f is defined by f(x)= 2 √x x³ - for x > 0. Part A: Find f'(x). Part B: Write an…

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Q: Determine if the following function has an inverse function. Answer r(x) = (x+4)³ Or has an inverse…

A: We know that, a function y = r(x) has an inverse function if it is one-to-one i.e. if for each…

Q: The graph of f is shown in X = A (a) For which values of x is f'(x) zero? (Enter your answers as a…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 1) Find 1 x² +4x+13 dx.

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Q: A conical tank (with vertex down) is 10 feet across the top and 12 feet deep. If water is flowing…

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Q: 11. y = x² from (0, 0) to (1, 1)

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Q: Let g(x, y, z) = 0.03x + 0.04y - 0.01z - 0.05. Complete the following sentences. (a) The variable g…

A: Given function

Q: Let F(x) = f f(t) d t Sa f(t) dt, where f is the function whose graph is shown. Evaluate F(7)

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Q: Which of the following expressions represents the volume of the solid generated when the region…

A: Region is bounded by y=x2−5x+9 and y=4+6x−x2Rotating the region about line y=−5Using the washer…

Q: Find the area under the given curve. y = √√x +6; from x=0 to x = 16

A: Consider the curve

Q: Determine whether the series converges or used. Explain diverges. State the test you you reasons why…

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Q: What is the derivative of f (x) = -x at the point x = 4? Type an exact answer Sorry, that's…

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Q: Write an equation of the graph in the final position. The graph of y= 2* is shifted 4 units left and…

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Q: Estimate the area unde graph of the functi sum with n = 10 subintervals and midpoints. Round your…

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Q: Values of f(x) at selected values of x are shown in the table. x 0.75 0.9 0.99 1.01 1.1 1.25 f(x)…

A: A table of values is given about the function .The aim is to find the limit .

Q: For Questions 1 and 2, region R is bounded by f(y)=y²-14 and g(y) = 2y + 1. Which of the following…

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Q: Given f'(t) = -0.2t-e-t, compute f(4)-f(1).

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Q: Prove that the equation is an identity. (sin 0 - cos 0)² + 2 cos 0 sin 0 = 1 Working from the…

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Q: The graph of f(x) is given below. Select each true statement about the continuity of f (x) at x = 3.…

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Q: The velocity function, in feet per second, is given for a particle moving along a straight line. 3…

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Q: (BC Topic) Which of the following integrals gives the arc length of the graph of f(x) = cos2x + 5…

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Q: The total revenue from the sale of x stereos is given by R(x)= 3,000| 1- sale of x stereos, R(x). O…

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Q: area under the curve ƒ(x) = x² + 2x + 6 from æ : Use the Method of Midpoint Rectangles (do NOT use…

A: The given function .The aim is to find the area under the curve using the midpoint rectangles in the…

Q: A student council consists of 15 students. (a) How many ways can a committee of eight be selected…

A: Given that total number of students = 15a) number of ways to select a committee of eight= b) Let A…

Q: a) dy dx dy b) = dx dy dx c) = x² + e10x = yx³ In(x) ey

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Q: Using n = 2 equal-width subintervals, approximate the area of the region bounded by the graph of,…

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Q: b(x) = √√√x Answer O 21 2√2|x| t(x) = 2x

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Q: Give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: The given set is the set of points in space whose coordinates satisfy the pair of equations .The aim…

Q: Find the Taylor Series for f(x)=x²³+x²+x+1 about a=1

A: The given function is The Taylor series for f(x) about

Q: A table of values for f(x) = x²-13x+36 x-4 O 3.7 X 3.7 f(x) -5.3 -5.2 -5.1 -5.01 -5.001 Use the…

A: Limx-4-13x+36)/(x-4)

Q: Determine the polynomial function, f(x), with the smallest possible integer co- efficients that has…

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Q: Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2 8 de F(x) F(0) F(7) F(-/-)…

A: The given integral is .The aim is to find the values of .

Q: Determine the value of x(t) at t = 0 given its Laplace transform. Choose your answers form the…

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Q: 10) Find the indicated limit 2x x+1 lim( x-x

A: (10) limx→∞(2xx2+1)

Q: 35. a(t) 36 g(t) = cos 2t; v(0) = 5; s(0) = 7 2t

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Q: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

A: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

Q: Use a Riemann sum to approximate the area under the graph of f(x)=x² on the interval -2≤x≤2 using n=…

A: The midpoint rule∫abf(x)dx≈Δx(f(x0+x12)+f(x1+x22)+⋯+f(xn−2+xn−12)+f(xn−1+xn2))Δx=b−an

Q: Let f(x, y, z) = ey-z² X Find gradf(1, 1, -1) and G(x, y, z) = fyy- faz. УУ

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Q: Which of the functions shown below is differentiable at x = -3? Select the correct answer below:

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: The objective of this question is to find the price the company should charge for the phones and the…

Q: 2. If f(x) = 3x³ + 2, find a number c between a = -1 and b = 2 such that f(x) dx = f(c)(b - a) -1 A.…

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Q: a) Find a potential function for the vector field, i.e., find a function ƒ so that F =Vƒ. b) Use the…

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Q: Find the distance (m) traveled by a particle in the x-y plane with position (x, y) for the time…

A: Find the distance (m) traveled by a particle in the x-y plane with position (x, y) for the time…

Q: A) Consider the vector field F(x, y, z) = (yz, -9xz, -8xy). Find the divergence and curl of F.…

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Q: Given the graph of f(x) below, find the graph of the derivative of f(x). Select the correct answer…

A: The left-piece graph represents the upward parabola and the derivative of the parabola is always a…

Q: Please calculate whether this function is also differentiable, as well as continuous. Thanks.

A: Continuity at x=a:Differentiability at x=a: