Evaluate: Σ 1 (k − 2)(k-1)

Q: 5. Find dy for the function y = (sin 18x) by using logarithmic differentiation. dx

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Q: L'Hopital's rule applies to which of the following limits? Indicate all that apply. Select all that…

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Q: U.S. Internet advertising revenue grew at the rate of R(t) = 0.82t + 1.14    (0 ≤ t ≤ 4) billion…

A: NOTE: Refresh your page if you can't see any equations. . U.S. Internet advertising revenue grew at…

Q: Use the formula to find the next four partial sums S5, S6, S7, and Sg of the infinite series. S5 S6…

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Q: The graph of f(x) = -² 3r is shown alongside. a Use the graph to estimate the gradient of the…

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Q: Suppose that a price-demand function is given by P(x) = 500- 500 - 15x. Calculate the marginal…

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Q: Consider the matrix A = 2 7 10 2 1 8-5 14 ao 1 do as (a) Reduce A to rref and find its rank. (b)…

A: As per the instruction, we will be answering the first question. If you need answers to others then…

Q: Find the point of the way from (8.-3. 1) to (-6.-10.-3). 0 P=0 0

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Q: • √ x³² √/ x² + 28 dx = √ u ² / ² ( ²1 du ) = = = [u²/² du. Now, if u = x³ + 28, then This evaluates…

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Q: Jse summation properties and Formulas to rewrite and evaluate the sum. 33 Σ70 (²-4j+1) j=1

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

Q: (b) 1.00⁰ xe -4x dx

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Q: 9x During the course of an illness, a patient's temperature (in degrees Fahrenheit) x hours after…

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: If f(x) = then f''(x) = [²* (t³ + 6t² + 5) dt

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Q: rope, attached to a weight, goes up through a pulley at the ceiling and back down to a worker. The…

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Q: Let r(t) = ·( 20 ²21 ²2² ² ) =

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Q: Let f(x) = ex²-1. The set f-¹([1, 3)) is: 75.5. O (A) (-√1+log 3, -1] U [1, V1 + log 3) O (B)[-√1+…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  we need to find…

Q: Show steps and find the exact value of 3x+4 dx . Do not use Table Entries. x² +4 T

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Q: Question 2 The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

A: Volume

Q: Use Euler's method with step size 0.1 to estimate y(2.4), where y(x) is the solution of the…

A: Given differential equation:- y'=3y+2xy

Q: Can you show the working for 2A + 2b = 6  and  3A - B = 1, in equation one I, want to follow all…

A: Let's solve.

Q: Let f(x) be a continuous function of which we know f(3) = −3, ƒ(6) = 6, ƒ'(3) = 24, and f'(6) = 24.…

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Q: The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain…

A: We know Transformed function fx=afx-h+k⇒h>0 then graph shifts horizontally right ⇒h<0 then…

Q: 4.83. Show that dz z²a² 2a In ( ² = a) + ² th-¹2+ a +C₁=-coth a C2.

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Q: 4 3 2 1 y 1 y = f(x) 2 3 4 -X

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Q: A company's marginal cost function is MC(x) (given below), where x is the number of units. Find the…

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Q: Suppose I want to use a "u" Substitution to find f cos x(sin x) dx . What should I choose for u?

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Q: Find all points on the graph of the function f(x) = 2 sin(x) + sin²(x) at which the tangent line is…

A: We need to find out the points where tangent line is horizontal.

Q: 1. Find for the following by implicit differentiation: dy dx 18x9-5 cot y = y² - 18x

A: Given:  1) 18x9-5cot y=y9-18x Implicit differentiation:    Differentiating on both sides…

Q: 2. A company has a contract to cover the four walls, ceiling, and floor of a factory building with…

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Q: Q3/Graph the equation r = 2a sin(40) and convert the equation to an equation in Cartesian…

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Q: Find all values of X that will satisfy the equation within the interval 0 < x < 2π: cos X cot X…

A: Given: So,…

Q: he limit of the following sequence or determine that the sequence diverges 17n 17n+6 5}} tan ct the…

A: Given query is to find the limit of the sequence.

Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

A: Given: From the above graph, we can observe that the function is increasing in the interval (-1,…

Q: The velocity of a particle moving in a straight line is given by v = t(t² + 1)³ + 3t. (a) Find an…

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Q: Suppose that the second derivative of the function y = f(x) is y'' = (x + 1)(x-2). For what x-values…

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Q: Problem and Computation Problem No. 1: In 2015, there were 233,040 Individuals living in Olongapo…

A: Let present number of people=x⇒dxdt=Rate of Expansion in number of people

Q: π For the function f(x) = sin x, where a = - 4' a. Find the Taylor polynomials of order n = 1 and n…

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Q: 1 - 3 2 a 1 To find the blue shaded area above, we would calculate: b [.. Where: f(x) dx = area 2 3…

A: Given query is to find the shaded area.

Q: Determine whether the following series converges. 80 Σ (-1)* +1. k = 1 k 17k+1 B. The series…

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Q: Determine whether the statement is true or false. 3 1²0x²0x = [²0x²0x + [²0x² dx e+2 4 dx e+2 3 dx…

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Q: Problem No. 2 There are 260,317 people living in Olongapo City as per the last census. The local…

A: Given: Initial population = 260317 Population after 5 years = 479617 The rate of growth is…

Q: If f(x) = x - 8x² and h = 0, find the following and sim (a) f(x + h) = (b) f(x +h)-f(x) h Bund

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Q: Problem 6. Find the sum of the series Σan, wh n=1

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: Use the Ratio Test or the Root Test to determine whether the following series converges absolutely…

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Q: Find the values of the variables. a +5 8z+1 11m 11k 3 a = Z= m = k = 3 }-{ 2a 4z 4m 8 - 35 75…

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Q: Solve the following initial-value problem: ) de dx-xe dy=0; y(1) = 0 √x + ye O O O Inlxl=e +1 Y…

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Q: Answer the following questions. You must show all your work. 1) Convert the point (2,-1) from…

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Q: VX-5 x + 6 dx, u = √x - 5

A: Use the specified substitution to find the integral.  ∫x-5x+6dx , u=x-5