Identify the vertex of the parabola: y = -4(x - 2) 2 - 3. (2, 3) (-2, -3) (-2, 3) (2, -3)

Q: √x² - 36 dx

A: Reduction Formula :    ∫secn(u)du =n-2n-1∫secn-2(u)du+secn-2(u) tan(u)n-1

Q: b) A monthly service fee to download e-books is $4.95, plus $3.99 per book downloaded. Write an…

A: The object is to write an equation that represents the total cost.

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Q: R5) If nC5 = nC12 then n =_

A: According to bartleby guidelines when student post more than one question then expert must have to…

Q: L 2 S 5 + 64

A: Laplace Inverse Transform of  function 5s2+64

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Q: 8 3) If f(x)= 2 (x-1)*, then f (2) (1) = Σ k=0 a) b) 2 c) 4 d1

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Q: Solve integration by (udv x cos(x) dx

A: The integration of the integral is xcos(nx) limit 0 to pi/2. Repost the next question.

Q: Q5: If y= tant and x = cost then at t= is (not that these functions in N) dx a) -1 b)0 c) d) I e)…

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Q: use your calculator. 3 -2 7 8 -2 2 - 4 -12 7 0 4 3 4 7 4 7 2 8 7 -2 3

A: det3-2478-2-2047444-247-1237-2874-23Reduced echelon form is,=det…

Q: Solve 4 sin(3x) = 2 for the two smallest positive solutions A and B, with A <B 71 2π x Invalid use…

A: Topic:- application of trigonometry

Q: dx 5. ≈ 16 x J dx – x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 15. dx 16x* - 1

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Q: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

A: What is the indefinite integral of this function?  f (z) = √z (4(z-1)2 + 1/z3)

Q: If y(z) = √3+ rºdr then 0 y' (2) = 524√√3+25 Q X estion E

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Q: If f(0) = -6, f'(0): = 3 S³ = x. f''(x) dx = = - 20, f(3) = 297 11 and f'(3) X 18 then: -49

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Q: Find the area of the region between the graphs of y = 16-2² and y = -4≤ ≤ -1. The area is 2x+8 over…

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Q: scalar equation of a line that goes through T(2,-5) and is perpendicular to the line 3x-6y=5

A: Equation of line

Q: P1: Calculate the area bounded by the curves: C. y = e²x and x - 2y + 5 = 0..

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Q: 14 Given the triangle answer to 4 decimal places. X find the length of side x using the Law of…

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Q: 10x3, 5-x, = x < -2 x ≥ −2 Let f(x) 1. f(-2)= 2. lim f(x) = x→→2+ 3. lim f(x): = x→→→2 4. lim f(x) x…

A: The solution of 4 and 5 are given in the next steps.

Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

A: I am attaching image so that you understand each and every step.

Q: C. d. = cos(√x + 3) dx [x³√x² +1dx

A: We have to solve given integration.

Q: Sv x² - 36 dx

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Q: Find f(x) if y = f(x) satisfies dy 35yx4 dx and the y-intercept of the curve y = f(x) = = f(x) is 2.

A: In this question we have to find f(x).

Q: Question Given the function f(x) = 4x² + 6, find the value of c such that f(c) equals the average…

A: Given function is f(x) = 4x2 + 6

Q: What is the derivative of:  ex / x2

A: The given function is: fx=exx2   As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…

Q: Let f(x, y) = x³ + y³ - 2x²y². Calculate fa, fy, fax, fyy and fry. Hence show that (3/4, 3/4) is a…

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Q: find dy dx ² +F y = 3 casch + Cosa 3 and x = Sin²³ o

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Q: (a) IM8 k 서

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: L 2 + 1 s(s − 1)(s + 1)(s − 4),

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Q: =

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Q: 1. Find the interest paid on a loan of $2000 for 1 year at a simple interest rate of 7% per year…

A: "According to the guidelines issued by the company we are supposed to answer only one question.…

Q: Which relation is incorrect: a. i.j = 0 d. j.k=i b. ixj=k e. ii 1 c. ixi=0

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Q: Q/Find the Taylor Polynomials of orders 0,192 and 3 generated by fat a F(x) = Sinx 29=0

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Q: d^x 2: +3. db4 3d ³ x db³ d²x -62 dx - 24x=0 db 27. db²

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Q: The surface of the sun has dark areas known as sunspots that are cooler than the rest of the sun’s…

A: As per guidelines, we are going to solve only one problem. So please repost the other problems…

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

A: Suppose N=N(t)=The number of bacteria at time t Where t is time in hours since 12:00 noon

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

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Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

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Q: 9. Evaluate 18x dV where E' is the region behind the surface y = 4 - 2² that is in front of the…

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Q: A vector collinear to ū= is: a. d. 1,-2,-3> b. -1,2,3 > e. [K C.

A: Solution is here

Q: Suppose f is a function for which [ f(x) dx = -3 and 1f²fcx -1 [²3/0 3f (x) dx Hide answer choices A…

A: We have, ∫-11fxdx = -3∫15fxdx = 5 To evaluate: The value of ∫-153fxdx.

Q: 4. What is the area of the parallelogram with sides a = = [3,2,1], b = [4,5,6]

A: Topic = Area

Q: Q4: Let y = √r and 1= x² then y) = Oifn= t= a) 2 b) 3 c) 4 d)5 e) others

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Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…

A: Topic:- application of integration

Q: The linear approximation at x = 0 to sin(4x) is A + Bx where A is: and where B is:

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Q: Use linear approximation, i.e. the tangent line, to approximate √81.3 as follows: - Let f(x) √x.…

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Q: Exponential and Logarithmic Functions 11. Use the properties of logarithms to fully expand the…

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