аx2а (х2а +1)* ӑх > [7] S

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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

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Q: FValua te!- D కో బాషా 2ax-x2 a

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Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its ...

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Q: - 5 sin Find the period of the graph of y = 4 O 87 O 2 01 Submit Question

A: period of function  ASin(B(x+c)) is 2Π/B 

Q: dy Which of the following is the general solution to the differential equation dx e x+ In x = C y ex...

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Q: For the next six questions, consider the differential equation: y/" + 4y = g(x), g(x) # 0

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Q: Find the derivative of 7 (t) = (1+t°, te¯t, sin (2t)) A. F'(t) = (3t°, (1 + t)e¯t, 2 cos (2t)) B. 7(...

A: We are asked to find the derivatives.

Q: If I(theta)=cos^2(1/2theta) what is I’(pi/2)

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -5 and g'(6) = 3. (...

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the functi...

Q: A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rat...

A: radius of tank = 2m initial depth = 9m depth after 15 minutes = 4 m  

Q: ak+1 If lim k→+∞ ak = 5, then ak diverges. k=1

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Q: dt dx 3. 6x – x² 4. sin xV1 XN Cos xdx 3x 5. 1-2e3*) 6. dx

A: We solve only 4th question.  Let 1-cos(x) =t 

Q: 46. Let the assumed particular solution for the given DE be y, = (Ar³ + Bx² + Cx)e* + E. What is the...

A: A detailed solution is given below.

Q: find mayium. heisht hit)--2+ +8+ t19 which OF descibes LOX 15X5 +3Y-200 the Pollonins accurately He ...

A: We have to find the maximum height using the differenciation

Q: Find the volume of the solid generated when the region enclosed by y = a, x = 1 and y O is revolved ...

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Q: ip dt + y* = tys (MULTIPLE CHOICE) Which of the following is(are) true about the equation (A) The di...

A: Given that Diffrancial equation t4dydt+y4=ty3Solution :t4dydt+y4=ty3dydt+y4t4=ty3t4dydt+yt4=yt3this ...

Q: -5x + cos (9x) – 1 Evaluate lim 2x Submit an exact answer.

A: To Evaluatelimx→0-5x+cos(9x)-12x  

Q: ge false. If true, you must explain why. If false, you must give a concrete counterexample (with num...

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Q: 1. Given that r(t) = t²i+tj + 2k. Sketch the curve with the given vector equation. Indicate with an ...

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Q: 10. Romeo is walking towards North at a rate of 4m/s. Ten seconds after, Juliet walks towards East a...

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Q: 1.)When m is odd, we can integrate sin" (x) dæ by letting u cos(a). Why does have to be odd for this...

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Q: Find the slope of the tangent to the curve y = 1/Vx at the point where x = a. Use the equation : f(a...

A: This question can be solved by applying the given formula with limit h approaches 0

Q: I-4, I 2 %3D undefined b. 2 x C-2 d. does not exist

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Q: cos(2x) -dx sinx+cosx

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Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. ...

A: Topic:- derivatives 

Q: [4] S (x + )´ dx [5] S cos²(2x)dx X. V1+x3 [6] S- dx r-2

A: To evaluate the integration of the following.

Q: Graph the following function. 2x +1 if x4

A: Here, the given function is: f(x)=2x+1 ; if x<0x+1 ; if 0≤x≤42-x4 ; if x>4

Q: da (cos ( 3x) sin( 2æ)) dæ

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Q: dx 4x x 3.

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Q: (MULTIPLE CHOICE) Which of the following equations is(are) variable separable? dN + N = dt N dr (A) ...

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Q: Eliminate c, x'y =1+ cx (2+x3y)dx + xdy = 0 B (1+x?y)dx + x³dy = 0 © (1+x?y)dx + x²dy = 0 D (1+x3y)d...

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Q: Given an infinite series, discuss a strategy for deciding what convergence test to use

A: First i have written an infinite series and told about convergence test of similar series named p-te...

Q: Find the area of the cardioid r=2(1+cosθ). a. 2π b. 4π c. 5π d. 6π e. none of the above

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Q: What is the general solution to the differential equation 2e* cot(y) dx – (4 + e*) csc²)dy = 0 ? (4 ...

A: Here, the given DE is: 2excot(y)dx-(4+ex)csc2(y)dy=0

Q: Create a question covering inverse of a  functions

A: We have to find inverse function

Q: Since lim k→+0 (k + 1)!/3k+1 k!/3* k+1 lim k→+∞ 3 +00, k! the series (converges/diverges/inconclusiv...

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Q: 10. J(3x3 — 5х + sin3x) dx -

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Q: Identify the system as independent, inconsist analytical method 1. x+y=4 *ーy=6 2. x+y=8 2x + 2y = 16...

A: Since you have posted multiple questions i can do first three question as per our company guidelines...

Q: Let F(x,y,z) = (y,x²,zy) where C:R(t) = (cost,sin t , 3t) and t e [0,2]. Evaluate %3D %3D •dR

A: We have to find value of given Integral.

Q: х — 3 (x+ 2) (x – 1)²

A: The given integral is; (x-3)/[(x+2)(x-1)2].

Q: sin xV1 cos xdx

A: ∫sinx1-cosx dxSubstitute t=1-cosxt=1-cosxDifferentiatedt=sinx dx

Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = -2 x-intercept...

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Q: The Heaviside function is used in engineering applications to model flipping a switch. It is defined...

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Q: Answer the question below: x+y The student should find the local linear approximation of f(x, y, z) ...

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Q: f(z+h) f(x) For f(z) = V71 + 37, find f '(z) using the definition f '(z) h this, find the tangent li...

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Q: 13. Find the solution set of b) 14x – 1| > |2x + 3| + 1

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Q: x2+1 2²+1 dx = 0 xe"dy +

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Q: .2 1 0, Jo 0/ a² +y? + z2 fipxpzp?

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Q: Problems: 1. Engineers have observed that when transferring a message I (an input signal) through a ...

A: All parts of the problem are solved below in detail.