Let a = ci + jand b = 16i + 12j. Find c so that the angle between a and b is Round your answers to four decimal places and enter the values in increasing order. C = i C2 = i

Q: Solve the differential equation y’=xsqrt(y); y(0)=1

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Q: The antiderivative of [Vx-25 dx is V x2 - 25 - sec-x+ C. A True B False

A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: 2y 7. 3. Evaluate ST (r+y)dx dy. 32 A) 3 64 C) 3 16 B) 32 D) 3

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Q: (2.) (1-(In))^ (3.) yn + sin ()

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Q: In Sx-/25+> 25+ x2 dx , we let x = 5sine. (A True B False

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Q: x²y(cos(Tz) +2) dæ dy dz

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Q: For the series below, (a) find the series' radius and interval of convergence. For what values of x…

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Q: x2-1 1- S (Solve it using integration by partial fractions) x2-16

A: According to the guidelines in case of multiple questions, We are only allowed to do first question.…

Q: 6. Find dy/dx and simplify y sin = - х

A: According to our policies we are allowed to solve one question at a time so kindly repost other…

Q: If 42 | f(x)dr = 10 %3D 59 and 42 | 9(z)dr = 30 59 and 42 |. h(x)dx = 32 59 what does the following…

A: Use additive property of integral

Q: 5- 4- Find the volume of the solid created by rotating the following curve y = 3vx about the y-axis.…

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Q: 1.5 3-X Evaluate the integral *dy dx using polar coordinate

A: Follow the procedure given below.

Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

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Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

A: First convert it in standard form then find intigrating factor and then solve..

Q: (a) Find the series' radius and interval of convergence. Find the values of x for which the series…

A: For radius and interval of convergence we will first findlimn→∞an+1an then equate it to <1 and…

Q: x° – x + 2x –2 dx 3 ?6 -2х + 2) X

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Q: +oo (2x – 1)" V4n + 1 Consider the power series n=0 a. Show that the series is conditionally…

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Q: Let f(x) be a differentiable function such that for all x > 1, f(x) > 1 f(x) and f(x) < lim f(x) = 1…

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Q: A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and write…

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Q: Find all the critical points of f(2z, v) = - . 1 + 4x – xy? and classify them using the second…

A: The given function is;  f(x)=-x3/3 +4x -xy2.

Q: SV25-x² In dx , if we let u=/25 - x2 , then udu= - xdx. (A) True B False

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Q: 1 dx cos² 2x 3. 4. x² sin (x³) dx S elnvx+1 dx 5.

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Q: 3 Figure 1: Graph of f 4. Each of the following is true EXCEPT: lim f(r) = 0 c. lim f(r) = +o∞ a.…

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Q: Solve

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Q: in hrit insider= 14cos6 out side re1-asG Find area insider= 4G5G out side ret-sG in hrat quarter -

A: The area inside r=1+cos θ and outside r=1-cos θ is:

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

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Q: Determine if the improper integral converges or diverges. Find its value if it converges. Show…

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Q: (4, 16) 10 Find the area of the region bounded by the graphs of y = 4x y = x2 and y = 4x. y = x2…

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Q: хах can be solved by either algebraic subsitution or integrataion by parts. x-1 (A) True B) False

A: To determine whether the given statement is True or False.∫x dxx-1 can be solved by either algebraic…

Q: 4x + 1 dx Jx3 + 3x2 - 6х -36 2.

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Q: (-1)" Given: power series (x + 1)" 2n2 + 5 n=1 ii. Find the interval of convergence of the power…

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Q: Find the antiderivative of the functions. S 6x dx S(12x - 5)dx S 3dx S(2x2 + 3)dx 1.) 2.) 3.) 4.)…

A: 1. ∫6x dx2. ∫12x-5dx3. ∫3 dx

Q: E) INTEGRAL : 9.) S(5t3 + 2t? – 5t – 50)dt 10.) S(3x2 + 2x + 500)dx

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Q: Solve the D.E dy + (xy – xy²)dx = 0 %3D

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Q: Evaluate: /4 * 2 sin-1 (플)-zv4-H + C A | f (x) = (В f (x) = 4 sin- (5) + xV4 – a² + C © f (2) = 2…

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Q: If sin theta is (square root of (x^2 - 4)) divide by x, what is sin 2 theta?

A: It can be solved using trignometric formulas.

Q: -+inf In(tan¯1x) 1+x2 1

A: ∫1∞ln(arctan(x)1+x2dxSubstiute u=arctan(x)→dudx=11+x2→dx=(x2+1)du=∫ln(u)duIntegrate by parts…

Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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Q: n(x – 2)" 3" (2n – 1)3 * VI. Consider the power series > n=1 a. Show that the power series converges…

A: Solving

Q: Determine if the given series is convergent or divergent. 3" en – 2" n=1 2.

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Q: (a) Find the first partial derivatives of the function f(x, y) = x²yVy + 4y². %3D (b) Find the…

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Q: x- y' + 3, x - 0, y=-2, y 1 Find the volume of the solid that results when the region enclosed by…

A: Point of intersection:x=y2+3x=0-2≤y≤1Volume of solid of revolution:V=∫cdA(y) dyA(y)=π[outer…

Q: Simplify completely 4 Int dt using FTC-1. da e3z

A: This question can be solved using the concept of Fundamental Theorem of Calculus Part 1.

Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

A: This can be done as follows:

Q: Find the Maclaurin series of the function. f(x) = 9 cos 2TX 2 (Type an expression using n and x as…

A: We know that the Maclaurin series of the function f(x) is given by f(x) = f(0) + f'(0)1!x +…

Q: Suppose you decide to wait 5 years to save up before buying the house.  You are able to put a down…

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Q: dy_ 1-y dx V1-x? V1-x' +/1-y? = a(x - y), then show that %3D

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Q: (-1)"x2" (2n)! COS X = for all x € R. n=0 1. Let f(x) = cos(Vx). Determine the power series…

A: I have solved all three questions.  Hope this will help. Please upvote ?

Q: x² – 6x +9 dx 6x – x2

A: Here we have to find the integration.

Q: equation the particula

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