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Q: A street light is at the top of a 17 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: 21. y = sech(√√x)

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Q: I. Find dy/dx of the following: 4. y=√1+In²x 7. y In- COS X √4-3x² 5. y = sin²(In x) 8. y In, x- 6.…

A: Topic - Derivative of a function Power rule: ddxxn=nxn-1ddxln(x)=1x

Q: -4 -3 -2 -1 у 1 -1 -2 1 2 3 X

A: We can find the answer in the following steps.

Q: Compute the length of the curve r(t) = (-4t, 5t — 3, -2t + 3) over the interval 0 ≤ t ≤9 L =

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Q: Cliff left point A at 8:00 A.M. walking east at 3 kph. Renz left point A at 9:00 A.M. walking north…

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Q: Test Σ n 1 2" n! for convergence

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Q: 1. Express the following equation in vertex form: y coordinates of the vertex point. 2 = 3x² 12x +…

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Q: The derivative of f(x) = tan- is: Select one: O a. O b. O C. O d. 1 x² cos² 1 -1 x² cos² 1 xcos² 1 F…

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Q: 1. Evaluate. a) lim x--2 ³-2x² +12 x² +1 x² -8x+7 b) lim x-7 2. What is the average rate of change…

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: The given sum is ∑i=164i+5

Q: The function f is graphed below. State the values that fulfill the following requirements. If there…

A: Please see the below picture.

Q: f(x) ax² + B where x denotes the length of one side. Find a + ß. Your answer

A: We have given  fx=αx2+βx Put x=1 in fx f1=α12+β1 f1=α+β So, α+β=f1

Q: Find the indefinite integral and check your result by differentiation. (Use C for the constant of…

A: The given integral is ∫x3-6x-4dx Integral formulas, ∫xndx=xn+1n+1+C∫dx=x+C

Q: 1. Evaluate. ³-2x² +12 a) lim x--2 x² +1 b) lim -8x+7 x-7

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Q: Find the indefinite integral and check your result by differentiation. (Use C for the const (x³ -…

A: The given integral is ∫x3-12x-4dx use the integration formulas, ∫xndx=xn+1n+1+C∫dx=x+C use the…

Q: (1+x²)y' + 2xy = (1+x²)y

A: Given problem:- 1+x2y'+2xy=11+x2y

Q: Find the derivative of x 1 f(x) = = 1₁² 1₁ ²² 16 dt S 1+t6 4 f'(x) =

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Q: Use the graph of the function f(x) shown below in order to determine all values of a in the interval…

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Q: A manufacturer can produce 3510 cell phones when x dollars is spent on labor and y dollars is spent…

A: SOLUTION-

Q: Solve the differential equation [cos (2y) - 3x²y²] dx + [cos (2y) - 2x sin (2y) — 2x³y] dy = 0 - a.…

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: .find g(-4),g(-2),g(0),g(2) and g(4). 2. find the domain and range of g. (Use interval notation)…

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Q: What is the derivative of k(y)=(6y^−1+3y^−2)(6y^−3+4y^−4)?

A: The given function is: k(y)=(6y-1+3y-2)(6y-3+4y-4) We have to find it's derivative with respect to…

Q: Let f be a continuous function such that 5 √ (f(x) — 2) dx? What is the value of f(x) dx = -2 and…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) 8 y = 2√x + 4 dx *- (√x +++1)x dy…

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Q: limr→(1 − )tan =N x

A: Concept: Limit of a function: Think about the f function (x). X must have values ​​close to the…

Q: 1.Use interval notation to determine f(x)

A: Concept: The graph of a function: The graph of a function is the set of all points (x,y) in the…

Q: 5-4-3 2-1 10 9 8 7 6 5 1 y 4 32 3+ 2+ 1 2 234 3 4 5 -6 1 2 3 4 5 X

A: Please see the below picture for detailed solution.

Q: If the vector equation of a line is 7=(3, -5)+t(-2, 3), t€ R. the parametric equations are Ox=3-2t,…

A: Topic:- application of geometry

Q: Given f(x)=e²x, determine the value of f(¹¹) (11th derivative)

A: Given  f(x) = e2x. We have to determine the value of  f11.

Q: Given the following function, find the values of f (5,2) x = 5 + xln(xy-9) f(x,y) O A. 25 OB. 10 OC.…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

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Q: kmarks Window Help 0 -7- The graph of f(x) is given below. Which of the three conditions for…

A: Given qiestion:- The graph of the f(x) is given below. Which of the three conditions for continuity…

Q: 4. Given f(x) = 3(x − 2)² + 6, what are the domain and range of f(x)? - a) Domain: {x € R}, Range:…

A: The given function fx=3x-22+6 we have to find its range and domain consider the general parabola…

Q: Calculate r' (t) and T(t), where T'(t) = ( T(t) = { r(t) = (8+t, (9+t), 2+2t). ).

A: Given vector function r(t)=8+t, -9-t, 2+2t

Q: Evaluate functio J dx x² - 6x + 13

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Q: A manufacturer can produce 4320 cell phones when a dollars is spent on labor and y dollars is spent…

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Q: help

A: Acute angle are measured from 0 to π/2

Q: Use interval notation to determine f(x)

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

Q: X 2000 A television camera at ground level is 2000 feet away from the launching pad of a space…

A: A television camera at ground level is 2000 feet away from the launching pad of a space rocket is…

Q: Use cylindrical coordinates to evaluate the integral below. F √x² + y²dv, where E is the region that…

A: We can solve this as follows:

Q: Σ(-1)^+¹ Test k=1 1 for absolute/conditional convergence

A: The given series: ∑k=1∞-1k+11k5 .We need to test for absolute onvergence and conditional…

Q: A piece of cardboard measuring 10 inches by 8 inches is formed into an open-top box by cutting…

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Q: (4) (d) 2-7 dx 4x-2 x²-1 (4) (e) S 7x (4x²+5)3 dx

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Q: = 4) Use the recursion formula Stan" xdx to calculate Stan³xdx tan" X n-1 n-1 -ftan”-2 xdx

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Q: The following table shows the rate of water flow (in L/min) through a dam. 1 5 9 13 17 21 25 t (min)…

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Q: The derivative of f(x)=- Select one: O a. O b. O C. O d. cos x-sin x x² x cos x -sin x X x cos x +…

A: The objective of the question is determine the derivative of the given function and choose the…

Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: Solve the differential equation (1 + y² + xy²) dx + (x²y + y + 2xy) dy = 0 ɑ. 2y+x²(1+x)² = C b. 2x…

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