1. f(x) = 9-6x 2. g(x)= a. f(-1) a. g(2) b. f(1) b. f(a+b) c. f(3 + x) c. g(2 -x)

Q: Solve the absolute value |x/-5+9|=8 then x=

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Q: Expand $it) in Fourier series in the interva) (- 2, 2) when fit) = -2st <o %3D 1.

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Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: Calculate the definite integral. 4xy Vx2 + y2 dy Calculate the iterated integral. (1 (1

A: Here we have to calculate ∫014xyx2+y2dy

Q: Find the derivative by use of definition y = 3x / sqrt 2x + 1 Please answer asap

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Q: The above is the graph of the derivative f '(x). How many critical points does the original function...

A: How many critical points of f(x)

Q: For the following function, find appropriate function g(x) of fixed point method: f (x) = xe* – 1 -

A: g(x)=

Q: e 3* (2e 3x – 1) dx (e6x – 2)4(e3* + 1) + A 2e 3* – 1 | бх B 2e Ox – e 3x © (e3r_2)4 D D (e3+1)+ E e...

A: Please see the below picture for detailed solution. 

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: The angle between the two vectors 1= (-9, –4, 7) and v = (36, 16, -28) is Select one: True False

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Q: 3lnx +2x4 A 3lnx B D 3lnx+ 2x+ E None

A: First we simplfy given expression using am+n=am.an and then put 2x4=u and differentiate both sides w...

Q: Create a double integral that can be used to find the volume V of the solid that lies under the hype...

A: Here, to find the volume: V=∫-11∫15-x2+3y2+3dy dx

Q: Find the shortest distance from the point (2,0, –3) to the plane x + y + z = 1.

A: This is a problem related to geometry part. Based on the concept of plane and point we will find the...

Q: Q2. If ƒ = In(x² + y² +Z? ) then find the divergence of f also find its magnitude at (1,-2,3).

A: Topic:- vector calculus

Q: x-'In²(Ine*) dx A Inx B Inx C Ine" D Inx2 E) None

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Q: Before starting your studies at EHL, you need to buy new suits. Each suit is made of a jacket, a tro...

A: According to given, Total purchase= 450+560+180+240+290+85+89+96+92= 2082 Since the purchase price &...

Q: en k=1

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check...

A: If integral value is finite then given series is convergent. 

Q: e3 (20" – 1) dx (e – 2)“(e« + 1)+ 6x 3x A 2e3 -1 B B 2e -e D(e+1)+ E 6x 3x F) None

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Q: 3lnx +2x*dx A 3lnx B 2r4 D 3lnx+2x+ E) None

A: The given integral is  ∫e3lnx+2x4dx

Q: Consider the function shown below. V. 4 8 What type of function is shown in this graph? O A. density...

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Q: Differentiate the functions. a) f(x) = 1 – 6x +x7 b) f(x) = (x³ + 3)² %3D

A: a)f(x)=1-6x+27x7Differentiate with respect to x   f'(x)=-6+(27×7x6)  f'(x)=-6+2x6Derivative of f(x)=...

Q: a4 a*dy= +C Ina A True B False

A: topic - indefinite integral

Q: The indicated function y, (x) is a solution of the given differential equation. x?y" - 9xy' + 25y = ...

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Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n ...

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Q: Find the derivative of the vector function below r(x ) = sin²(sec.x 2)i +csc³(Vx ² +1) j +8tan(x -k

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Q: Another - the following. a) Set up an integral for the volume a solid torus (the donut-shaped solid ...

A: (a) To set: The integral for the volume of a solid torus. Given information: radii br and aR, a=7, b...

Q: - In²(Ine*) dx A In²x B B Inr Ine D Inx2 E) None

A: topic - definite integral

Q: Given the differential equation dy 10 + 15y = 5x dx Find the values for Q and u. Q = 2 A Q = -x В 3 ...

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Q: Let F = ( .0). 3x Зу | 2x²+2y² * 2x+2®•O). Calculate div(F) and curl(F). (Use symbolic notation and ...

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Q: Calculate the Taylor polynomials T(x) and T3(x) centered at a = 8 for f(x) = In(x + 1). T2(x) = (r-8...

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Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

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Q: ,3lnx +2x4 "dx A) 3lnx 2x4 x3 D 3lnx+ 2x4 E None

A: Using substitution method.

Q: Two concentric circles centered at O with radii r and R(r < R) are given in the picture: R What can ...

A:

Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: If fi f(x)dx = and f f(r)da = 1, then 6 f(x)dris O None of the others. O 18 O 12 O 2 O 10

A: A detailed solution is given below

Q: A-f cos (x)sin³(x)dx e*cosh (3x) В- -dx cosh(x)+sinh(x)

A: ∫cos5xsin3xdx  

Q: Use Newton's method and find an approximation for the root of the following function accurate to wit...

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Q: 11. Find the slopes of the curve y y?- r2 at the two points shown hcrc. 2 (V3 = y2 - x?

A: we have the curvey4=y2-x2

Q: 7 B lim f (x)% = 6 T--2- A 2 1(-0.1, 0.5) B2 -7 -6 -5 -3 +2 2 -1 -2 -3 F E 3.

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Q: sec-dx 3 - 3 In sec – + tan- + C | 3

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Q: dx Perform a test to determine if converges or diverges. 8 X° +4 dx Does converge or diverge? 8 Vx° ...

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Q: )A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate prop...

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Q: Given the differential equation, its particular solution, and its wronskian –7x y" + 2y' - 35y = 4 e...

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Q: 00 k k +1 k=0

A: Leibnitz's test: Let ukk∈Nbe a monotonic decreasing sequence such that limk→∞uk=0 Then the series ∑k...

Q: Given the function f(x) = x?e%z, Determine the open interval(s) where the function is concave up Det...

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Q: k. Evaluete the given limib

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Q: 1 7. lim 3x8 (x5+ (2х-3)3 х-+00

A: To evaluate the given limit. limx→+∞1x5+2x-333-3x8    

Q: Given the differential equation x² y" - 5xy' +9y = 0 Determine the General Solution for the differen...

A: Solution is Option C

Q: 1. Use f(x) = x - x² +: +x and g(x) = 2f (x+1)+3 to do the following: a) Obtain a graph of fx) using...

A: As per the bartebly guidelines one question having 3 subparts are only to be solved. Please resubmit...