Use the rules for sums of powers to evaluate the following sum. Provide your answer below: 15 Στι i=3

Q: How many permutations are there of 43 objects when taken 8 objects at a time, if a particular one of…

A: To determine the number of permutations of 43 objects when taken 8 objectsat a time if a particular…

Q: tween bus tingby 36 Budovai 13. Write the iterated integral for y√² + y²dA in the order dydz where R…

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Q: Find all y-intercepts of the following function. Express your answer as a coordinate point in…

A: To find all -intercepts of the following function.

Q: 19. x - y² +3=0, x-2y = 0.

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Q: Determine the volume of the solid generated by rotating function f(x) = √64 - ² about the x-axis on…

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Q: X lim x+3+ (x + 2)(x-3) A. -∞ is B. 3 C. 0 D. co

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Q: Find the area under the curve y = 2x-3 from 7 to a = t and evaluate it for t=10, t= 100. Then find…

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Q: A jar contains 8 differently coloured balls. If you remove two balls, one at a time, how many…

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Q: 51. lim x³ = 1. x→1

A: To give an  proof for the following statement.

Q: TU x² So √x²+4 dx

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Q: Given the point (1-2) is on the graph of y=f(x), determine what those coordinates would be on the…

A: we need to find the image of the given point

Q: Question 20 v Evaluate the following definite intergral. If necessary, round your final answer to…

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Q: The constant solution y ≡ π/2 of the equation y' = cos(y) is stable , true or false ?

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Q: 27. Use spherical coordinates to find the volume of the solid cardioid of revolution D = {(p, 0,0):…

A: Solid is bounded by D={(ρ,ϕ,θ):0≤ρ≤(1−cos⁡ϕ)/2,0≤ϕ≤π,0≤θ≤2π}Using spherical…

Q: 83. Calculate [ sec² sec² x tan x dx (a) Setting u = sec.x. (b) Setting u = tan.x. (c) Reconcile…

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Q: If a = 34.3, what value does b have to be to make O a. 69.60000 O b. 34.3 O c. 18.6500 O d. 17.6500…

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Q: True or False? The function f(x,y)=x^2+y^2 has a global maximum on the disc x^2+y^2 is less than or…

A: The objective of the question is to determine whether the function f(x,y)=x^2+y^2 has a global…

Q: Find the volume of the solid generated when the region bounded by y = 3x and y = 12√x is revolved…

A: Region is bounded by y=3x and y=12xRotating the region about x-axis3x=12xx=4xx=0,16Using the washer…

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the accumulated present value of an investment over a 7 year period if there is a continuous…

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Q: Use the remainder theorem to find the remainder when f(x) is divided by x + 2. Then use the factor…

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Q: s 1 /x√√x + x dx.

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Q: If f(x) is continuous and ² f(x) dx = 318, what is ["* x f(x²)dx Round your answer to two decimal…

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Q: For any two events E and F. P(EUF) = P(E) + P(F) – P(EF) Select one: O True False

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Q: The solution of the initial value problem y'= y^(2) − 1, y(0) = 2 is defined on the entire real…

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Q: Given that ∫51f(x)dx=2811, what is ∫15f(t)dt?answer =

A: The objective of the question is to find the value of the integral ∫ from 1 to 5 of f(t) dt given…

Q: x sin¹(x² − 7) cos (x² − ñ) dx. 58. x

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Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

A: Let, Put ,

Q: Find an equation for the tangent line to f(x) = xe²x at x = -1

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Q: Write the equation of a transformed function y = x^2 after the following transformations in the…

A: We have to write the equation of transformed function.Here parent function

Q: A company has marginal revenue function MR= -0.4x +35. a) Find the total revenue function. R(x) = b)…

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Q: 2 √₁²x²3x dx

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Q: As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is…

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Q: A baseball team plays in a stadium that holds 70000 spectators. With the ticket price at $10 the…

A: Given: For price $10, average attendence = 29000.For price $6, average attendence = 35000.q =…

Q: If f(x) = lim f(x) = X-4 -7 for x = 4, {2} 2x+7 for x #4 then

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Q: True or False? The function f (x,y) = x2 + y2 has a global minimum on the disc x2 + y2 < 4.

A: The objective of the question is to determine whether the function f (x,y) = x^2 + y^2 has a global…

Q: Given: (x is number of items) Demand function: d(x) 3872 √x Supply function: s(x) = 2√x

A: Demand function: d(x)=3872xSupply function: s(x)=2x

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) Jetan tan(6x) sec²(6x) dx

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: The dispalcement relation is given:              .............(i)

Q: x²+1, 27. f(x) = 5+2x − x², x = 1, -2 ≤ x < -1 -1 −1≤ x ≤ 3 3 < x < 6.

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Q: Use the remainder theorem to find the remainder when f(x) is divided by x + 3. Then use the factor…

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Q: If f(x) = 2 - x / 5x , determine the equation of f^ -1(x) , the inverse of f(x).

A: Given, the functionWe determine the equation of .

Q: How is the graph of 8y=x² related to the graph of y=x²? 1 y=x² has been expanded horizontally by a…

A: To explain how the graph of  is related to the graph of .

Q: The 3 x 3 matrix D is defined in terms of the constant k by D 2 k lk - 2 -1 3 4 2 3 J k+7] Given…

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Q: veevepreadya dzdydx. + y² -√16-2². 1

A: I=∫−40∫−16−x20∫x2+y241x2+y2dzdydxx2+y2≤z≤4−16−x2≤y≤0−4≤x≤0

Q: Please ssolve and show all steps. please explain why and how to use partial fraction decomposition…

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Q: 32) Find the derivative of the following functions a) f(x) = 4x³ 3x² + 12x + 1 b) g(x)=e7x + 2x c)…

A: 32) a) f(x)=4x3-13x2+12x+1b) g(x)=e7x+2xc) h(x)= 12 ln(4x) + log7According to the Bartley…

Q: Compute the given indefinite integral. [(-3 3 + 5z + cos (32)) dz =

A: Consider the integral

Q: 25. Let f(x) = 5x² + 1. Evaluate and simplify each of the following: f(4)-f(1) 4-1 (A) (Bu PC (B)…

A: Given function is we have to evaluate the following  and simplify them