Write the sum using sigma notation: -1+2+5+ 8 + 11 +...+ 116= Σ Β, where B, n=1 A = B

Q: 1. Use appropriate differentiation technique(s) to compute f'(x) for each function below. Simplify…

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Q: Find the distance between (1,5) and (1,1).

A: We have to find the distance between the points 1,π2 and 1,π

Q: Find the general solution to the homogeneous differential equation dy + 12 +36y = 0 dt The solution…

A: Given differental equation:- d2ydt2+12dydt+36y=0

Q: Please use a double integral to derive a formula for the area of a trapezoid with parallel sides of…

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Q: (17 points) Differentiate the following function: ƒ(x) = e* + x² ƒ'(x) =

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Q: Estimate the area under the graph of f(x): approximating rectangles and right endpoints. Rn = = L₁ =…

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Q: A piece of cardboard measuring 14 inches by 12 inches is formed into a an open-top box by cuttin…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: ). Use the Integral Test to determine whether the sum converges. ∞ n = 1 1 n + 8 Evaluate the…

A: Given series  ∑n=1∞1n+8

Q: Solve the differential equation. dy 9x²y² dx = for y # 0

A: Given query is to solve the differential equation.

Q: 2. Evaluate the integrals using area formulas: (a) (b) 10 9-(x-7)² dx (10-2 (10-2|x) dx

A: Given is the question of definite integral.

Q: answers to three decimal places. Find the critical numbers of the function f(x)=-3x5 + 15x¹ +25³ +4…

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Q: Question 10 > At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 23…

A: Let's find distance between the ships changing at 3 PM.

Q: Let y = = (x³ - 7x) ¹(x) . Find dy/dx using the method of logarithmic differentiation. Answer:

A: Let's find dy/dx by using logarithmic differentiation.

Q: Given f(x)= X-4 O[4, 12) U (12,0⁰) 0 [--4, ∞) and g(x)=√√x+4, what is the domain of f(g(x))? O(-∞,…

A: Givenf(x)=1x-4 and g(x)=x+4We need to find the domain of f[g(x)]

Q: 2. Find all the values for x for whi radius of convergence? (−1)"(x+1)" n a. n=l

A: a. Ratio test

Q: Write an equation for a rational function with: Vertical asymptotes at x = 2 and x = 5 x-intercepts…

A: Given:Vertical asymptotes:  x=2   and  x=5x-intercept:  (-2, 0)  and  (1, 0)y-intercept:  (0, 5)

Q: WE Σ n=1 4 3" +1

A: Given query is to find series converges or diverges.

Q: A ball is thrown vertically up from the ground. If the positive direction is upward, then h = -16t²…

A: Answer is in step 2.

Q: Evaluate the following sums. 9 (2) Σ 3 k=1 500 (b) Σ 9 k = 1 264 (c) Σ k = 2 20

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

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Q: Estimate using linear Approximation. 3 19.2 - 13 19

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Q: Find the first derivative f' and the original function f. f"(x) = x³ - 12x, ƒ'(1) = 0, ƒ(1) = 10

A: Topic - Differential equations We are given f''(x)=x3-12x ,f'(1)=0 ,f(1)=10 ∫xndx=xn+1n+1+C

Q: Find the zero(s) (if any) of the function - y=x^2-1x-12 The zero(s) is/are x=

A: To find the zeroes of the given function

Q: Differentiate y = arcsin (6x + 1). Answer: y' =[

A: Given y=sin-1(6x+1)

Q: Find the coterminal angles (One positive and one negative) Part 1. -420 Part 2. -400 Part 3. 227

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Q: Suppose that in a memory experiment the rate of memorizing is given by M' (t) = -0.003t² +0.8t where…

A: Given: M't=-0.003t2+0·8t To find: Total number of word memorised in first 30 minutes.

Q: Pictured is the graph of y=f(x). I need help transforming it to y=1/2f(x). Can someone explain?…

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Q: nd the first derivative ƒ' and the original function f. f"(x) = x³ - 12x. f'(1) = 0. f(1) = 10

A: Given query is to find the function f.

Q: Represent f(x) = cosx. as the sum of its Taylor series centered at π/6.

A: we will find the required taylor series .

Q: Set up a triple integral in spherical coordinates that would determine the exact volume outside the…

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Q: 1- Estimate using linear Approximation. 3 192 - 1/10 19

A: Let's estimate value by using linear approximation.

Q: The population (in hundreds) of fish in a pond is given by P (t) = 2t+ sin(2t - 10) t months from…

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Q: Question 5 -5-4-3-2 lowest = middle highest = A = 3 نیا 2 1 For the above rational function f(x) =…

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Q: 6. Given: lim [(x + 3)1/2/(4 - x)] as x approaches 6 7. lim[(4x2+7)/(2x2-3x + 5)] as x approaches…

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Q: M3 X M₁ = Rows: 1 Columns: 1

A: M1 has 2 rows and 2 columns and M3 has 3 rows and 2 columns. Since, Number of columns of M3= Number…

Q: Find the indefinite integral. (Use C for the constant of integration. Remember to use absolute…

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Q: The graph of y = f(x) is shown below. -2 6 Find f f(x)dx. -4 02 y 4 2 -2 -4 0 2 f(x) 4 6 x

A: Given query is to find the value of the integral.

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

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Q: Solve the following first order linear differential equation. Show the outline of the solution and…

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Q: For the sequence, determine if the divergence test applies and either state that lim n→∞ an does not…

A: Given: an=limn→∞nn+2

Q: (n) lim x-2-√

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Q: Suppose a Cobb-Douglas Production function is given by the following: P(L, K) = 40L0.75 -0.25 where…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

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Q: Given f(x) = x² + 3x + 4, what is 07+h 2x+h+3 Oh+4 Oh² +7h f(2+h)-f(2) h equal to?

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Q: Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.…

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Q: 3. Find the degree measure of the angle given in radians, and draw the angle in standard position.…

A: Here we have to find the degree measure of angle given in radians.

Q: Hence construct explicitly a decreasing differentiable function g(x) such that lim g(x) = 0 lim…

A: We are assuming a function g(x) which is a differentiable function even at x -> +∞ If a function…

Q: Exercise (3): Use the Laplace transforms to solve the given initial value problems. (1) y' +6y=et,…

A: according to bartleby guide line we do only first part of multiple questions 1)    y'+6y=e4t…

Q: d) MsU₁= Rows: 1 Columns: 1

A: GivenM5=-5-3-3-31-5-4-2 and v1→=-20We are required to find M5v1→

Q: Question 15 Textbook x = A company that produces cell phones has a cost function of C= 30x2 - 496x +…

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