TU Find the speed for c(t) = (3 sin(5t), 8 cos(5t)) at time t = FR

Q: 8. p-series below: (a) n=1 Use this fact to find the sum of each series below. (You may express your…

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

Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

A: The given functions are the inner product of two functions f and g on the interval [a, b] is the…

Q: Find f such that f'(x) = 9 √x f(9) = 59.

A: f′(x)=9x,f(9)=59

Q: 1. Find the area bounded by x = y²; x = −2y² +3

A: To find the area bounded by

Q: 1 se sec4 x tan x dx

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Q: The distance from the home plate to the fence in dead center at a certain baseball field is 387…

A: Let x feet  distance from the fence in the dead center to third base The given figure

Q: Find an antiderivative of the function h(y) = 3y² — y6. An antiderivative is

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Q: Differentiate the functions: cosec x * cos x

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Q: 5. Find the gradient of the line tangent to the following functions at the given points. a. f(x) =…

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Q: (c) (d) (e) (f) YA -2 0 2 y = f(x) creasing? 4 6 8 x - [*11)dt g(x) = ) Does g(x) have any critical…

A: The graph of the function f(x) is shown as,It also given that,Note:"Since you have posted a question…

Q: Find the position and velocity of an object moving along a straight line with the given…

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Q: The system of differential equations : has the solution Y = C₁ et V₁ + C₂ ezt V₂ + C3 e¹³ V3 where…

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Q: Find the degree 3 Taylor polynomial T3 (x) of the function f(x) = (7x - 1) 4/3 at a = 4. T3(x) =

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Q: Find the radius R of convergence for the series R = n=1 2x+1 87+1 n8

A: The given power series .The aim is to find the radius of convergence of the power series.

Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x+4)² +8(y - 3)² = 32 Find…

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Q: 2 The decibel level, D, of sound is given by the equation 10 (1).» where I is the intensity of the…

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 6e² and F(0) = 4.

A: F′(x)=f(x)=6e2x and F(0)=4

Q: 1. Solve the system of equations 7₁-272 +373 2₁-22 +22 271-72 +373 b₁. b₂. ba

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Q: number. Fr 11. The sum of the measures of the three angles of a triangle is 180°. The middle-sized…

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Q: sinh(x) = 314

A: sinh⁡(x)=34sinh⁡x=12(ex−e−x)

Q: Use logarithmic differentiation to find y = secx tex Secx dy dx 4 for: x² +1 e 8x secx

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Q: 3. Consider the function y = f(x) whose curve is given by the equation 2y² - 6 = y sin x for y > 0.…

A: Note:-As per your demand we solve part d for you Given derivative and point when is

Q: Find the second derivative of the following functions: a. f(x) = x5 + sin x b. f(x) = x² + == x c.…

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Q: The system of first order differential equations y₁ = 5y₁ + 1y2 y2 = −4y₁ + 1y2 where y₁ (0) = 4, y2…

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Q: (1) Let C₁ and C₂ be arbitrary constants. The general solution to the homogeneous differential…

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Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

Q: Given the definitions of f(x) and g(x) below, find the value of g(ƒ(8)). f(x) = X 11 g(x) = x² + 7x…

A: The given functions  and .The aim is to find the value of .

Q: Click on the graph to view a larger graph Find the indicated side A || of the triangle ABC given in…

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Q: = sin(x),0 ≤ x ≤ π

A: Given that the expression

Q: 2. Evaluate the integrals. a. b. C. L (6x - e²) dx [²₁12 +2 (2 + 2y)² dy 7T/4 3 3 sec Ꮎ tan Ꮎ ᏧᎾ

A: .

Q: Find the sum of the series: Σ n=1 2 (n + 6)(n + 4)

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Q: A firm's marginal cost function is MC(q) = 5q¹ + 4q + 10. Find the total cost function if the fixed…

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Q: A 17 ft. ladder is leaning against a building. The foot of the ladder is currently 9 ft. from the…

A: We have to use the concept of derivatives

Q: 5+ 4 3 2 1 -1 -2 -3 -4 -5+ 1 8 + 7 6 5 4 3 2 1 -1 -2 -3 3 -5 -6 -7 -8+ 4 The graph of a function y =…

A: The graph of a function  is shown. To make a sketch of theantiderivative F, given that F is…

Q: Question 1 (i) Determine dy/dx in the following: (ii) y = cos(x³ - 2x) y = x²-2 sin x y² −2(x+y)+x²…

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Q: Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate…

A: We have to find the number of calculators produced from the beginning of the third week to the end…

Q: Evaluate the indefinite integral as a power series. fin(1+x²) dx

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Q: 3x dx 1+e³x

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Q: Evaluate: [8zº · sec² (25) dx =

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Q: Given the definitions of f(x) and g(x) below, find the value of (fog)(-4). f(x) = 3x² + 6x – 13 g(x)…

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Q: Use the Comparison Test to determine the convergence of the following series. n=1 n sin² n n³ + 1

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Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

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Q: Given f(x)=x³32, find f'(x)

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Q: Given 6xy= 2 + y³ ,  a) Find the coordinates of a point on the curve at which the line tangent to…

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Q: g(t) = t³+ t².

A: g(t)=t3+t2

Q: Compute the curl ∇ ✕ F of the vector field. F =

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Q: Evaluate S 2x + 1 (4x + 3)(x + 1) - dx

A: Consider the integral

Q: Ĵ Refer to the graph shown below to evaluate -2 fit) f(t)dt.

A: A graph of the function  is given.The aim is to find the value of .The integral formula  is used in…

Q: Find and simplify the difference quotient f(x) = 8 f(x+h)-f(x) h h#0 for the given function.

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Q: Find the indicated term of the binomial expansion. (√2₁² +1³); second term 3 u

A: