'x + 7 |x – 2| f(x) = { x² – 2x x< -3 - 3sx<-1 -1 3 9x 2х — 3

Q: Choose the angle (in radian) between the following two vectors u = (3, 7, – 8) and v= (-5, 4, - 3) O...

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

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Q: 2 Find all local extreme values of f(x) = a 3 5x2 + 8x – 50. The FIRST local extreme value, moving f...

A: topic- application of derivatives

Q: x+1-cos²(x) 3sin(x) 7. Find lim

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Q: emaiminy Tme. Unin Determine a formula for the general term an of the sequence {an} = { 3 12 27 48 7...

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Q: The Taylor polynomial of order 2 generated by a twice-differentiable function f(x) at x= a is called...

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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: Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y) = y² – x² sub...

A: Let's find. 

Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the ...

A: Given query is to find the rate of chnage of diameter.

Q: Question 3: Evaluate the following limits, if they exist, by using the graph 3 -4 -3 -2 -1 3 -1 -2 -...

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Q: The Carteslan coordinates of a point are given. (a) (-2, 2) (1) Find polar coordinates (r, 0) of the...

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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: 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: Question Determine the set of intervals where f(x) = V8x2 + 14x – 15 is continuous.

A: As per our guidelines we are supposed to answer only one question.kindly repost other question as a ...

Q: y' + y tan x sin x cos With y(4) = 0

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Q: TO Show Jv - x-V そーレ V+ dx

A: Jvx = ∑m=0∞ -1mx22m+vm! m+v!

Q: Given the differential equation ap - 2y = 15 dx Find the General Solution to the Differential Equati...

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Q: Set up an integral that represents the arc length of the function y = 4a4 + 5x from the point (0,0) ...

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Q: Given the demand function D(p) = 125 – 4p?, Find the Elasticity of Demand at a price of $1 At this p...

A: topic - derivative of a function 

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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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: 12x2-5x+7 lim x++00 V9x²–7x+13

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

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Q: Give an example of a geometric series whose sum is T (recall that geometric serie begin with = = 0).

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

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

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

Q: x² + x – 1 3 - limx→ (X→∞ 2x2 — х + 1

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Q: 'd = kt kdt A True B B False

A: Let's find. 

Q: Select ALL possible answers. * Which of the following is/are the point/s of discontinuity of the fun...

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Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.

Q: Given the differential equation y" - 5y' = 8x² + 5 sin(3x) Determine the differential operator for t...

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Q: Calculate the double integral. 3xy? dA, R = -{(x, m10 sx 5 3,-25 ys 2} -2 s ys2} .2 + 1

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Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: is represented by the series 2n=0X x" x2 Find the function that is represented by the series En-o= 1...

A: Topic:- sequence and series Note:- as per our guideline if more than one question uploaded than only...

Q: Approximate the integral to three decimal places using the indicated rule. c0.8 311 01 dx; Simpson's...

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Q: 1. The graph of a tunction f is displayed below What is the limit of f(=) approaches O? +++ i23 456 ...

A: Given question:- What is the limit of f(x) as x approches 0

Q: Find the directional derivative of the function at P in the direction of v. f(x,y) = xy P(0,-2) v = ...

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Q: find the absolute maximum and minimum values of each function on the given interval. Then graph the ...

A: Solution is given below:

Q: Evaluate. x - 1 dx 9 x + Va if b > 4, find b² + 36 +5

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Q: Given the differential equation y" - 7y' – 30y = 4x² cos(2x) Determine the General Solution for the ...

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Q: Integration is the reverse process of differentiation.

A: Given,            Integration is the reverse process of differentiation.To find : State true or fals...

Q: 31 'dt = +C 3lnz A True B False

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Q: Given f(x) = x- 1 and g(x) = x2- 1 Find and simplify the following 1. g {f (x)} 2. g-1(x)

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Q: 31 'dt = +C 3lnz A True B 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: 1. If {an} converges, then {an} converges (C). An+1 Suppose that limn→ 00 1n|= . Then E1 n2"a, conve...

A: We have to determine whether,  1. If {an}  converges, then {an2} converges. True /false? And  2. If ...

Q: 3x (2) Determine the inverse of the function ƒ(x)= 2x -5

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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: en k%3D1 00

A: We will use Cauchy root test 

Q: 1. For the integral x³ + 8 dx a. Use the Simpson's Rule with n = 4 to approximate the value of the i...

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

A: g(x)=