The first term of the expansion of (j – 3n)a is –-3nª. True or False?

Q: In the differential equation 4(3x+ y– 2)dx– (3x+ y)dy = 0, we let the substitution dw=

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Q: Find the general solution of the following linear second order homogeneous O.D.E.: ý + 2ý – 15y = 0

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Q: The value of the integral I = e-x2/7 dy is required in the development of the normal probability…

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Q: If f'(x) =e*- 3 sin (x) und fco) = 4,what fcx)?

A: Topic = Integraion

Q: Find the volume of the solid formed by revolving the region bounded by y = sin x and the x-axis from…

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Q: Verify that the two planes are parallel. -x + 6y + 2z = 4 + 3y + z = 5 Find the normal vector, n,,…

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Q: 5. In antidifferentiation, the formula § x" dx + Cis valid if? %3D (n+1) А. nER В. п# 1,п€ R С. п€…

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Q: Find the area of the shaded region. r = V cos 20 r = 2 cos 0 NOTE: Enter the exact answer. A =…

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Q: Consider the following. u = 8i + 7j v = -7i +j+ 2k Find u x v. Determine if u x v is orthogonal to…

A: Here, the given vectors are: u=8i+7jv=-7i+j+2k

Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i +2 sin(t)j+ tk; t= TE) N || ||

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Q: Which of the following is false? 3 n The series. is divergent. 4+n n=1 1 The series - n=1 3+n4 is…

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Q: Solve the following dy 1. xy dx = 2y2 - x2 %3D | dy 2. x2 dx xy = (x² + y²) tan-() (x + y2) tan-1 dy…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: t sin(t² + 4) dt cos(t² + 4)

A: To evaluate: ∫tsint2+4cost2+4dt Let I = ∫tsint2+4cost2+4dt

Q: -2x with derivatives f"(x) = 10(1 – 2x)e¬2* 40(x – 1)e¯2*, Determine all the following for the…

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Q: The polynomial of degree 4, P(x)P(x) has a root of multiplicity 2 at x=4x=4 and roots of…

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

A: Given:      fx=7sinx2 interval 0,π4 Volume of solid using cylindrical shell method is…

Q: Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify…

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Q: g. There is a removable discontinuity at = 1 and f(1) = 4 h. There is a jump discontinuity at z = 2…

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Q: . Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x - y + z =…

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Q: Find the solutions of the system of inequalities by graphing: ¤ + y 2

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Q: Use cylindrical shells to find the volume of the solid generated when the shaded region is revolved…

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Q: (c) Find a and b such that the following function is continuous at z= 1: (2² + a, z1.

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Q: n2+5 n First four terms of the sequence are: 1+9n O None of them 14 3 19 36 19 5 1437 19 36 19 14 37…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y…

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Q: 3. In the differential equation (2x+ y)dr-3(2x+ y+4)dy = 0, we let the substitution dy =

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Q: Evaluate arccot(tan 4). 2л 4

A: We will evaluate the trigonometric expression in the following step.

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = e^t…

A: Just put the exponential term value from one equation into the other and easily eliminate the…

Q: II. MULTIPLE CHOICE. Read and analyze the questions then write the letter that corresponds to your…

A: As per our guideline we supposed to answer only the first three question

Q: x – 2 - Let g(x) x +3 (a) Find the third degree Maclaurin polynomial of g. (b) Approximate g(0.2)…

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Q: If G(x) is an antiderivative of g(x) and F(x) = G(x) – 5, then F(x) is also an antiderivative of…

A: We can solve this as  follows:

Q: Use a double integral in polar coordinates to find a such that the volume inside the hemisphere 16 –…

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Q: Evaluate c (xy+y+z) ds along the curve r(t) = 2ti + tj + (2- 2t)k, 0Sts1. (xy+y+z) ds=| (Simplify…

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Q: Find u · v, u· u, ||v||2, (u · v)v, and u · (3v). u = (3, 11), v = (-4, 3) (a) u: V (b) u. u (c)…

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Q: O False

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) y1…

A: The given equation of the curves are: y1=x2-3xy2=0 And the bounded region is as shown below: Now…

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = x' + x + 1,…

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Q: 2. Let f(x) be a function of period 27 such that f(æ): over the interval 0 < x < 2x. a) Sketch a…

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Q: a) Find the intervals where the function f(x) is increasing or decreasing b) Find the intervals…

A: Follow the procedure given below.

Q: a. Find all the asymptotes of the following functions 4x* + 4x3 + 12x² + 6x – 24 6x* + 8x – 9 f(x) =…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4,-3,5)…

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 8 cos(t)i + 5 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Solve it.

Q: 2. Let f(x, y) = (2x – y,x – 2y); (x, y) E R × R, (R is set of real numbers.) a) Show that fis one…

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Q: 3. In the differential equation (2x+ y)dx- 3(2x+ y+4)dy=0, we let the substitution dy =,

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: Determine whether the geometric (– 1)"3" series * is convergent or divergent, n=1 8" and if it is…

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Q: 4. A certain style of church window has the shape of a semicircle atop a rectangle so that the…

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Q: y = ce2t + Cze -3t y = ce-t/2 + cze¯ -2t

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Q: (a) Show that if seven integers are selected from the first 10 positive integers, there must be at…

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Q: 7. x Arcsec (2x) dx (4x² – 1)7

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Q: In the differential equation (1 + 3x sin y)dx - x2 cos ydy = 0 , we let the substitution w =…

A: Solve the following

Q: Solve the differential equation dy y(0) = -1. dx 3+1 There is no need to isolate y.

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