Let F(t) = < 5t4 + 4, e-5t, 3 sin(3t) > fF(t)dt ( dt (don't include the +C) Find f(t)dt = <[ > Calculator Check Answer

Q: Find the angle between the vectors u = (1, 2, 3) and 7 = (3, 2, 1) - 80.79° approximately O 71.79°…

A: Question 1

Q: Evaluate (x+y)ds where C is the straight-line segment x = 3t, y = (3-3t), z=0 from (0,3,0) to (3,0,0…

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Q: Calculate a b, where a = 5i + 10j + 5k and b = -8 -8i + j + 17k. (Use symbolic notation and…

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Q: Find all the critical points of f(x) = x(5-x) 4. 1. x = 5, 1

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A: Given functions  y = 6x y = 6x

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Q: ind all the first and second order partial derivatives of f(x, y) = −10 sin(2x + y) — cos(x - y). af…

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Q: For time, t, in hours, 0 ≤ t ≤ 1, a bug is crawling at a velocity, v, in meters/hour given by 7 2+t…

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Q: 1. The function S(t) (where t is measured in weeks starting with t = 0) approximates the stock…

A: Numerical integration

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Q: Find f such that f'(x)=x²-4 and f(0) = 5. f(x) = 0

A: f'x=x2-4

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A: The directional derivative is the dot product of the gradient and the normalized vector.

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum…

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Q: Given  g(s) = 5s2 + 1/s find the following.   (a) g(1)   (b)g(−1)   (c) g(4)   (d) g(x)     (e) g(s…

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Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: 3.1 Suppose that f, g and g' are continuous on the interval I = [a, b]. Show th b [ f(a)dg(x) =…

A: Please see the below pictures for detailed solution.

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Q: A rectangular cardboard, 100cm by 40 cm, is going to be used to make a rectangular box with an ioen…

A: Given: A rectangular cardboard, 100cm by 40 cm, is going to be used to make a rectangular box with…

Q: Derive the Laplace transform for the given time function: 6. f(t) = eat

A: f(t) = eat

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A: The position function will be maximized when the velocity function is zero

Q: Find a logistic function that describes the given population. Then graph the population function.…

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Q: The graph of the function f(x) is shown below. If a = 5, then find the value of 3a S -a a 3a f f(x)…

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Q: K Find the area under the given curve over the indicated interval. y = 2x; [1,4] The area under the…

A: Given function y=2x ,and x belong to x=1 to x=4

Q: (2) Show that f(x) = e³x cos(2x) is of exponential order.

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Q: For each of the following functions, First compute the gradient function, and plot it at several…

A: As per guidelines we can solve only first question if multiple questions are posted. Please repost…

Q: 19

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Q: (d) the new producer​ surplus= (e) the deadweight loss.=

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Q: converges or diverges. α) by apply the Limit Comparison Test to determine whether the given series Σ…

A: As per company guidelines only one question is allowed to answer for multiple question posted.…

Q: Compute ||u||, |v||, and u v for the vectors u = -9i + 3k and v = -5j. .

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Q: In a town whose population is 3000, a disease creates an epidemic. The number of people, N, infected…

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Q: Convert the point (x, y, z) = (-1, - 4, 2) to spherical coordinates. Give answers as positive…

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Q: When the cost of producing a VCRS is given by C(x) = the average cost for each VCR is 200+500x400 ln…

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Q: Suppose the region on the left in the figure (with blue shading) has area is 21, and the region on…

A: Here we have a graph having 2 regions. One region have area of 21 and other have area of 7.

Q: 1. Determine if 0 is a stretch factor/eigenvalue of the linear transformation with given matrix…

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Q: Let F(x) = 1X-11, Sketch the graph of F(X). Then answer the following: IS F(x) continuous at x = 1 ?…

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Q: Find the first four nonzero terms in a power series expansion about x=0 for the solution to the…

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Q: In AABC, A = 48°, AB = 27 feet and BC = 21 feet. How many such triangles can exista

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Q: D(x) is the​ price, in dollars per​ unit, that consumers are willing to pay for x units of an​ item,…

A: Dx=-5x6+11Sx=12x+3

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: a floor is covered with 8 multicolored tiles and 91 plain red tiles wht is the raio of red tiles to…

A: Number of red tiles ( R ) = 91 Number of multi color tiles ( M ) = 8

Q: 8. Write the equation of the ellipse given that the vertices are at (0,−4), and (0, 2); and the…

A: NOTE: Refresh your page if you can't see any equations. . the given vertices are the center of the…

Q: swer: ________________________ B. Use your calculator to estimate the 'exact' amount. (Your…

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Q: If f is a continuous function on (-4, 4) whose graph is in 1. ƒ"(x) > 0 on (-4,-2) 2. (0, 1) is an…

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Q: sin 20 cos 20d0

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Q: still need the answer

A: Please see the below pictures for detailed solution.

Q: Express the following sums using sigma notation. 6+7+8+9+10 a. b. c. 18 +28+38 +48 C. 1…

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