3. Expand the following binomial functions by using given formula. n! [n-(k-1)][k-1]! finding kth term of (a+b)" 3. (x+3) an-(k-1) f (x-1)

Q: Solve the separable differential equation dy dt = y(t) = - 2y5, and find the particular solution…

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Q: Use the table to evaluate the limit of f (x). If the limit does not exist, use DNE. f(x) = limx→2…

A: From the table,as x approaches 2 from left side, f(x) = -1

Q: Solve the separable differential equation for u, u(t) du dt 1 = Use the following initial condition:…

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Q: Find fx,fy, and f₂, and evaluate each at the given point. xy x+y+z f(x, y, z) = fx(x, y, z)= fy(x,…

A: Find first three partial differential values

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

A: limx→06sin⁡xx

Q: What are the answers to f g and h?

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Q: The following integral may be evaluated by using integration by parts. Note: e 3 can be entered by…

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Q: у 4 -2 О 2 4 Х

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Q: Find the limit, if it exists. (If an answer does not exist, enter [ ( x + √x² √x² + 8x DNE lim 8118

A: We have to find

Q: For the function g whose graph is shown, find a number a that satisfies the given description. a=…

A: the limit of a function y=f(x) at a point x=a exists when the value of y approaches the same value…

Q: b) Question 23 from the textbook: Use the given graph of f(x)=√x to find a number 8 such that if…

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Q: The graph of a polynomial function y = f(x), is shown at right. Identify the properties and…

A: The graph of the function is given.The aim is to find the  Relative minimum values  Relative maximum…

Q: 2(x² - 4x - 5) x²-2x-15 Complete the table below. If necessary, round your answers to four decimal…

A: Substitute x=4.9.Substitute x=4.99.Substitute x=4.999

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: 14. Find a parametrization for the line segment in the plane going from (12, 42) to (7, 49).

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Q: The following integral can be evaluated by using substitution: a) b) c) Identify the inside…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Identify any points of discontinuity for the following functions. Indicate if the discontinuity is…

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an -4…

A: Note:-Since you asked multiple subparts,according to our policy we can solve only first three sub…

Q: In each case, determine whether or not the lines have a single point of intersection. If they do,…

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Q: Write the function whose graph is the graph of y=√√x +4, but is reflected about the y-axis. y =…

A: The given function is

Q: [22¹ sin (2³ - 1) da

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Q: Given: f(x) = 3x³ - 2x² + e³x; Let h = 0.5 a) Find the approximate value of f'(4 b) )Find the True…

A: NOTE : As per our guidelines we are supposed to answer first three sub-parts only. Kindly re-post…

Q: Find two values of the paremeter k for which y(x) = ekx is a solution of the differential equation…

A: To find the two values of the parameter  for which is a solution of the following differential…

Q: For the function A whose graph is shown, state the following. (If the limit is infinite, enter 'co'…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Consider the following. lim (3x) x-2 y 2 1 1 2 Use the graph to find the limit (if it exists). (If…

A: The limit of a function y=f(x) at a point x=a is the value y approaches as x approaches a from both…

Q: Find the derivative of the function. f(x) = (x³ + 8x + 6)(1+--/-)

A: Find the derivative of the function.f(x)=(x3+8x+6)(1+1x2)

Q: The following integral may be evaluated by using integration by parts. Note: e can be entered by…

A: The integral isFormulas used,Using ILATE rule.

Q: The following ODE models an undamped pendulum with an oscillating forcing term. y"+5y = cos(11t)…

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Q: Monthly Payments (dollars) per $1000 Loan Monthly Interest (%) 56789SIG 10 11 12 24 43.87 44.32…

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Q: Suppose 294 mg. of a radioactive substance are present in a closed container and additional amounts…

A: Initial amount (No)= 294 mgDecay constant (k)=-0.02308 day-1Additional amount added = 3 mg every day

Q: Find the equation of the plane passing through the three points. P =(4,-1,8), Q = (1, 1, 1), R = (3,…

A: P=(4,-1,8)Q=(1,1,1)R=(3,1,-2)

Q: Consider the following. f(x, y) = 4x - 3y (a) Find f(2, 7) and f(2.1, 7.05) and calculate Az. f(2,7)…

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit does…

A: The given limit is,

Q: Simplify and express the answer in the form a + bi. 5i 1-5i

A: In this question, we will simplify and express the answer in the form 'a+ib'.

Q: Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(X) = √√9+…

A: To express the function H(x)=9+|x|5 in the form f∘g∘h, we can decompose it into three non-identity…

Q: The following integral can be evaluated by using substitution: a) Identify the inside function. =…

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Q: Find the length of the following curve. X 11 32 y 3 1 IN - y from y = 3 to y = 11 3 N|W 2 y The…

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Q: Sketch the graph of the function. -2 f(x)=x-1 In(x) -1 if x ≤ 0 if 0 < x < 1 if x ≥ 1 y 2 y 1 2 X…

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Q: c) Hence write down the indefinite integral: d) -7ze (Don't forget the constant of integration as…

A: The given integral is -7xe-3x, x from -1 to 1.

Q: (a) f(g(6)) = [

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Q: Name: Example 9: Prove that lim(4x - 5) = 7. Example 10: Prove that lim √√x = 0. x→0+

A: 9)limx-3(4x-5) =710)limx-0+ sqrt(x)=0

Q: Question 90 You have been given the following function: 95² + 25 +4 F(s) = 5³ + S Please find the…

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Q: the answer is incorrect please check

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Q: A concert loudspeaker suspended high off the ground emits 30.0 W of sound power. A small microphone…

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Q: Find the total differential. 5x + y 3z - 8y dw = W =

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Q: Let f(x) = Prove that lim f(x) = 0. x →0 sin x + sin 3x + sin 5x, if x is rational, 0, if x is…

A: We need to prove that limit is zero.

Q: Graph a line that is perpendicular to the given line. Determine the slope of the given line and the…

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Q: Consider the following. f(x) = √5-x 2x - 3 Find each limit. (If the limit

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Q: A manufacturer of printers has a total cost per day consisting of a fixed overhead of $7000 plus…

A: A manufacturer of printer has a total cost per day consisting of a fixed overhead of plus product…

Q: Provide me with the answer for part C

A: We have to evaluate the integral in part C.