Use the rules for sums of powers of integers to compute the sum. 16 Σ k k=7

Q: answer = Σ n=0

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Q: Find the constant of variation when one exists and write it in simplest form. Direct variation…

A: We have to find out solutions

Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

Q: Solve the following initial value problem. (-1/2) dr de = sin(-60), r The solution is r(0) = (Type…

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Q: For the function f(x)= (8+2x, if x5) A) use definition of continuity at a number (3- step test) B)…

A: Concept: These are the three requirements for continuity: 1). The equation for the function is x =…

Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

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Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

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Q: 6. Ifw = f(x-y, y-x), then show that, ar + L = 0. dx ay

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Q: find y' at y = f(x) уч x 2 x ² y - =1

A: Given function is :-x2y-y2x=1To differentiate it, use :-ddxu(x)v(x)=u(x)ddxv(x)+v(x)ddxu(x).and…

Q: Evaluate the following integral. Sx12xdx x12*dx = (Type an exact answer. Use parentheses to clearly…

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Q: 8) Let a, 32" +45° for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint:…

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Q: approximation with 5 subdivisions. 3 2 1 2 3 4 5 6 7 P∞ot 8

A: solution is given below

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

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Q: Consider the graph of r(t) given below. -4- 2 |_y=r(t) 0 2 C) Find r' (2). [Select] 4 D) Find r'…

A: Given that graph of y=rtA.gt=sin3πrtg't=cos3πrt×3πr'tg'1=cos3πr1×3πr'1r'1=slope at…

Q: se series to evaluate the limit. 2 lim h→0 (sin h)/h- cos h h²

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Q: If S then f(x)dx= 10 and is equal to Select one: O 10 05 015 O-5 [². [se none of the others f(x)dx…

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Q: Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of…

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Q: f(t) = sin(wt) u(t) Do the laplace transformation of the math in details.

A: we have F(t) =sin(ωt) u(t)

Q: π Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for 6…

A: We have given a inverse trigonometric function of tan

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: We have to analyze and sketch a graph of the function and find any intercepts, relative extrema,…

Q: True or False: We have [x 3 Select one: True False xdx > [²x x² dx

A: Here we have to use the concept of integration

Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

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Q: In the find and prove of lim”→0 (x³), how and what should be defined in terms of ? A. 8 = min {1, §}…

A: This question is related to Limits, we will solve it using given information.

Q: : Use the chain rule to find the derivative of w= x² + y² with dw with x = cost + sint, y = cost-sin…

A: This question is based on chain rule differentiation.

Q: z(t) = -2-t Find a plane through the point (5,6,-3) and orthogonal to the line y(t) = 8 - 8t z(t) =…

A: Given: 5,6,-3Orthogonal to the line xt=-2-t, y(t)=8-8t, zt=2+2t

Q: Given the values of f(x), g(x), f'(x) and g'(x) in the table, answer the following questions. x f(x)…

A: We can find the answer using the data given in the table as below.

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

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Q: Let C be the curve y 12 11 10 9 8 7 6 5 15 4 + 25 1 3x for 0.6 x ≤ 3.7. Find the arc length of C…

A: Given that curve y=x34+13x  for 0.6≤x≤3.7Solution : y=x34+13x y'=3x24-13x2Simplify…

Q: dentity the type and determine the linearity of the given differential equation, and also give its…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: The derivative of a^u with respect to x is

A: Aim:- To calculate : ddx(au)

Q: Evaluate the indefinite integral. x² A -dx 1- x6

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Q: Evaluate 2 1.³ sin(2x + 3)dx -0.9989 None of them -0.9998 1.21 0.9989 -0.9899 0.9899

A: ∫0π/2 sin(2x+3)dx here we have to integrate then apply limit  integration of sinax = -cosax/a apply…

Q: Let ā= and b = . Find 3a + 3b.

A: Given:a→=-3,-2,3 and b→=-3,5,2We need to find 3a→+3b→.

Q: Evaluate the following integral or state that it diverges. ∞0 J4e-4 -4x dx Select the correct choice…

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Q: y=x² from (0,0) to (1,1). | Compute the line integral of f(x)=2x over the curve 2009

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Q: For problems 1 - 16 use the method disks/rings to determine the volume of the sol the region bounded…

A: Here all question are not connected  According to bartley guidelines I am bound to solve only first…

Q: Evaluate the improper integral or show that it diverges. 6 S dx 0 √36-x² Select the correct choice…

A: Explanation of the answer is as follows

Q: Let a = -27 +53 + 4k. Find a.

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Q: The temperature of a patient t hours after taking a fever reducing medicine is T(t) = 98 + 8/√t…

A: Here i have find the answer upto 4 decimal place.

Q: For the next three exercises, use series to evaluate the limit. arctan y - sin y y³ cos y 2 lim h-0…

A: Disclaimer: Since you have posted a question with multiple sub-parts ,we will solve first three…

Q: a. Find an equation for the secant line through the points where x has the given values. p. Find an…

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Q: The intervals on which f(x) = x² lnx is increasing and decreasing, and the intervals of concavity…

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Q: Part b: ( a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: 9. Rotate the region bounded by y=y=9, x = -2, x = 1 1 3 about the y-axis.

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Q: The Taylor series expansion of 2 |z| < 1 is (solve) Z-2¹ −(¹ + ² + ² + ² …..) X Option 2 O…

A: Taylor series

Q: Q2 a) Find the derivative using logarithmic differentiation. x³(2x - 1) (5r+1)7(r+1)

A: topic- derivative of a function Note: As per bartleby guidelines, we are supposed to solve only…

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. y¹= x(2e + c) 2. y = Ae³x…

A: 1. y-1=x2ex+c Note:     Multiple questions are given, we are answer with only one question. If you…

Q: S cos 2x dx COSX

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Q: Question Which of the following is a potential function f for F(x, y, z) = (2x cos(v2). -x²z sin(yz)…

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Q: Evaluate the expression under the given conditions. sin(20); sin(0) ==, in Quadrant II 0

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