ex 3-4e2x 21) f dx

Q: and the limit of the function (if it exists). (If an answer does not exist, enter DNE.) lim x³ - 27…

A: Topic:- calculus

Q: n n=1 10n+12' Determine the sum of the series -1 or explain why it diverges.

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Q: (3а - 2 (4а + 5)

A: Solve the given equation

Q: lim x→1+ [5 - 3x] - √x x² - 2x + 1

A: Need to find out the limit.

Q: Find the domain and range and draw the graph. f(x) = -4 , x > 0            2 , -2 ≤ x ≤ 0…

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Q: 4√√m³n - m²√mn

A: Topic:-  algebra

Q: Find the limit of the function (if it exists). (If an answer does not exist, enter DNE.) x³ - 27 lim…

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Q: This question has Tutorial Exercise Find the limit. Use l'Hospital's Rule where appropriate. If…

A: Given function , limx→0(1-7x)1/x

Q: FOREVEREN 8 SE #+3

A:

Q: Find the limits. ‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒‒ 3 f(x) = 2x²-3x + 41, g(x)=√x + 3 (a) lim f(x) X-4 = (b) lim…

A: To find the given limits of the function.

Q: For Problem 3, use algebra to find the exact value of the li answer. 2x²+x-6 x+ 2 x² + 7x + 10 3.…

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Q: Why? As X approaches -1 from the right, the limit WOULD be 1.

A: As we know that a function has limit at x=a if both left and right hand limit equal.

Q: 2. Find the transpose, conjugate and tranjugate of the following matrices: 5 A-2 0 2-31 41 3 6i 4 -1…

A: Note: Since the student has mentioned to solve question number 2 under section (C), so we are…

Q: B- Find the natural domain, range and graph the functions for the follo X 1) g(x) = x 2) g(t) = -t³/…

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

Q: Find the first derivative of: i. (3x − 5)^-5

A:

Q: M8 n- = n2 n n+n 5

A: Given:        ∑n=1∞n2-nn5+n taking n as common   =∑n=1∞nn-1nn4+1     =∑n=1∞n-1n4+1

Q: 3.1 Average vs Instantaneous Rate of Change (#limitscontinuity, #differentiation) Consider the…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Solve the following first order linear DE initial value problem. (dy/dx)+ 4y - e^-x = 0 , y(0)= 4/3

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Q: If x = √x^5y^5 + x^2y + xy^2, find:   zy zxy

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Q: 63m6 - 49m5 - 21m

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Q: 11/ f(t) = Dt²³ +E. find the in definite integral Sf (t) d +

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Q: f(x)= x+5 x²-9

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Q: 5. Solve the initial value problem and find the interval of existence. dy 1 dt 2y + 1' y (0) = 1. 6.…

A: I have to solve differential equations in this question.

Q: Assume that we have two events, A and B, that are mutually exclusive. Assume further that we know…

A: We can solve this as follows:

Q: Find the solution set of the given equations/inequalities. Check for extraneous roots/solutions. 2x…

A: Given equation, 2x-12x-3-xx+1-2x+12x2-x-3=0

Q: 3 3d √54d4 + 2√16d7

A: Given, 3d 54d43+2 16d73

Q: (a) Determine the reactions at A and Elf P = 720 N. The reactions are positive if to the right or…

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Q: 3. Evaluate the difference quotient, limx→0 f(x+4x)-f(x) (x+4x)=x , for f(x) = 3x² + 7x + 5.

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Q: 1. Integrate the following: 7x2 (10x3 + 79 )0.5 within the range 5 and 9. (Please give your answer…

A: Please see the below picture for detailed solution.

Q: 218. f"(x) 0, -3 < x < -1, 1<x<3, local maximum at x = 0, local minima at x = ±2 over

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) Lim x -3     (3 - |x|)/3+x

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Q: IF YOU BORROW MONEY FROM YOUR FRIEND WITH SIMPLE INTEREST OF 12%, FIND THE PRESENT WORTH OF P50,000,…

A: Here we have to find the principal.

Q: 3. Evaluate the difference quotient, limx→0 f(x+Ax)-f(x) (x+4x)=x , for f(x) = 3x² + 7x + 5.

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Q: Liner algebra

A: We will find the required.

Q: Identify and sketch the domain of ƒ(x, y) = = x - y In (1 + y − x²)

A: Given

Q: X ME n! 3 11

A:

Q: Consider the function y=3x1/2 - 3x1/2 - 4x -1/2  ,x>0  find a)  dy/dx, b) ∫ydx…

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Q: f(x) => Find a possible formula for the trigonometric function graphed below. Use x as the…

A: A graph of the trigonometric function is given, we have to find its equation. use the formula:

Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: (h) The Root Test can always be used to determine whether an infinite series converges or diverges.

A: We need to comment on the following statement: The root test can always be used to determine whether…

Q: Find an equation for the tangent line of the curve 2(x2+y2)2 = 25(x2-y2) at the point (3,1) by…

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Q: Find the Domain and Range for b

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Q: Consider the following equations. y = x² - 9 y = -x + 3 x = 0 x = 2 Sketch and shade the region…

A: Topic = Area

Q: Q4) Find the volume of the solid generated by revolving region bounded by curve y=√x and the line…

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Q: 1. fxº dx 2. f V√z dz 3. f(1-x) √x dx

A:

Q: find the domain of the function algebraically 3. y= 3x-1/x2 -2x-3

A: Given function, y=3x-1x2-2x-3We know that The domain of a function is the set of input or argument…

Q: For the function f graphed below, find the following limits. 1. lim f(a) 3 help (limits) 26 = 2. lim…

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Q: . This first example is one you may have seen in precalc. square sheet of cardboard is 3 meters long…

A: To find out the volume of the remaining box.

Q: For the function f graphed below, find the following limits. 1. lim f(a) 3 help (limits) 2. lim…

A: Note: Since, the student has mentioned to solve only question no. 7. So we are solving only…

Q: Evaluate in polar coordinate L √1- 0 (x² + y²)dydx

A: