Insert two geometric means between 5 and 8.64.

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Q: Sin (2x-2) X 3 peAne the An. Is f Continuous at x =1 and x-3. 1gentify the type of discontinuity.

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A: CONCEPTS:  

Q: f(x) = 15- (3-t)(r - 8t + 7)

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Q: Find the equation of the series below. y=1+eax+eax2+eax3....

A: Question- Find the equation of the series below.   y=1+ ea x + eax2 +......

Q: The function s(t) describes the motion of a particle along a line. s(t) = t³ - 8r² + 21t – 260 (a) F...

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Q: Calculate the real values of x and y such that (x+y)³ is bigger than 8

A: Given: - The expression (x+y)3 is bigger than 8. To calculate: - The real values of x and y.

Q: Solve using the U-Technique Question 10 For ſk*e3*dx = 1 (ke)3x 3 (1–In 2-1) If u = 3x, then k =? .....

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Q: Divide P(x)=8x-4x+2x-1 by D(x)=2x-1 Find the quotient, Q(x), and the remainder, R(x) Write an equati...

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Q: A rectangular box with an open top has a square bottom and a volume of 4 m³. Find the dimensions of ...

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Q: 58. Find the maximum volume of a cylinder inscribed in a core of 4 m volume.

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Q: B= 4 7 8. A= 2. Find 1-Matrix C. 3B 2- Matrix D - AB inNN

A: Given A=352252 and B=204768C=3B=3*204768               C=[6012211824]

Q: dx The integral S reduces to S k, where u = f(x) and for some constant k . Compute f(1). ex+1

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Q: What is the slope of the TANGENT LINE to the given curve 1 y = x + at point where x.= -2

A: Slope of tangent is    m=dydxdydx=1-1x2

Q: Find the differential equation whose solution is given by y? = 4ax ydx – 2xdy = 0 O ydy – 2xdx = 0

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Q: Find f(x) so that when u = f(x) the integral J 1+ In x tan(f(x)) dx can be rewritten as cot u du..… ...

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Q: By applying integration by parts, we have Jx° In x dx = x10 In x +10 + C 10 100

A: given :   integration by parts 

Q: (2x² +)x ;dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the po...

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Q: 2 tan(4x-1)-3 cos² (4x-1) If we let u = 4x – 1 for the dx, what will be the resulting integrand? cos...

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Q: 2 Find 22 + 42 + ... + (2n)². Hence find 12 – 22 + 32 – 42 + ... - (2n), simplifying your answer.

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Q: 8 6. Evaluate E n(3 + 2n + n2) n = 1

A: ∑18 n(3 + 2n + n2 ) if n =1 1(3 +2 +1) = 6 if n=2 2(3 + 4 +4) =22 n =3 3(3 + 6 +9) = 54 n =4 4(3 + 8...

Q: If u = f(x), then f- dx ++2x+1 +C for some constant k. Compute kf(1).

A: In this question we have to compute kf(1).

Q: Using u-substitution, the integral S f(x)dx reduces to a new integral S g(u)du. If g(u) = ' evaluate...

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Q: Given h(s, t) = s In t – t ln s. What is the value of h(e, 1)? %3D

A: topic - functions

Q: The sum of the series 1 is: A) 1. B) 2. 1 C) D) E) Diverges. A) B)

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Q: Evaluate f 5sinBcosede sin" 8+3sin8-4 a. 4 In (sind+4) – In (sind – 1) +C O b. 4 ln (sind- 4) + In (...

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Q: The integral / 2/ ) cos(2*) dr takes the form & cosu du when u=2* and f (x) =x-5, What is the value ...

A: Firstly We have to solve the integration, then compare to given form and find k. Then We get K+2.

Q: A projectile is fired vertically upward with a velocity of 96 ft/s, so its position function can be ...

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Q: 1-2n The sum of the series 1 is: A) 1. B) 2. C) D) E) Diverges.

A: The given series is: ∑n=1∞121-2n which can be rewritten as: ∑n=1∞1212-2n=12∑n=1∞2-1-2n=12∑n=1∞22n=12...

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A: We need to find the related conditional which is equivalent to converse

Q: Consider the integral 2h* g(x) dx. There is a function g(x) such that when Inx the resulting integra...

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Q: The sum of the series E-1 1-2n is: A) 1. B) 2. C) : D) 3

A: Here we have to find the sum of series ∑n=1∞121-2n

Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: Prove that 2"+l > (n + 2) · sin(n) for all positive integers n.

A: We have to prove that, 2n+1>(n+2)·sin(n) for all positive integers n.

Q: If f(16x*- 16x³ + 4x²)dx = F(x) + C, then F(x) %3D

A: Formula:∫ xn  dx  = xn+1n+1 + C   Integral:I=∫ (16x4-16x3+4x2) dxI=∫ 16x4 dx -∫16x3 dx +∫ 4x2 dxI=16...

Q: What is the slope of the NORMAL LINE to the given curve y = x + at point where x = 3 *If the answer ...

A: The given function is; y=x +1/x at x=3.

Q: Use any method to determine whether the series converge. 1 (a) E k=1 k' + 12k + 1 This series conver...

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Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: Find the area enclosed by the following parametric curves and the y – axis. Find its exact area, no ...

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Q: I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a)...

A: (a)  the statement is false. (b) statement is true. (c)  statement is true. see below the explanatio...

Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 1 f(x) = 1 + + ...

A: Let's find. 

Q: Find the indefinite integral. sinh(2 – 7x) dx Step 1 First, let u = 2 - x. Now, differentiate u with...

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Q: prove that (sin?acos?x)(tan²x + cot?a +2) = 1 %3D

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Q: If cotx = 12 find the other trigonometric functions

A: Given that cot (x)=12 -(i)Our Aim is to find the other trigonometric functions.

Q: (h) lim - 7 log: (z) -0- ||

A: Given query is to find the value of indicated limit.

Q: Question: By applying integration by parts, we have x10 In x Sx° In x dx = x10 +C 100 10 Select one:...

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Q: For what value of z does the tangent line to the curve y = 9+ 6e" – 6z is parallel to the line 9z – ...

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Q: 200 1. The function: P(x) = 2x + 0 <x < 0, models the perimeter of a rectangle of dimensions x by 10...

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Q: Find two positive numbers whose product is 324 and whose sum is a minimum. List them in non- decreas...

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Q: Matt is buying hamburgers and cheeseburgers for his study group in their school canteen. A hamburger...

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