4x + 1 dx Jx3 + 3x2 - 6х -36 2.

Q: Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x – y + z = 2…

A: For solving This question I found direction cosine using dot product as two perpendicular plane is…

Q: True statement of f(x) = is x² – 1 1. O f(x) increase on the interval (-infinite, 1) 2. O f(x)…

A: We know that,  ddxuv =vu'-uv'v2 Where u'=dudx and  v'=dvdx

Q: I. Evaluate the following integrals. 1. / 20- dx 2 x)5/2" x(9 – In².

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Q: Evaluate the integral. (Use C for the constant of integration.) cos a da sin a

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Q: What is the volume generated by revolving about the x axis the area bounded by the y = 20 +1, y 0, e…

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Q: Given: Cn . Is the sequence {c, , convergent or divergent? tan-in

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Q: Find the angle 0 between the vectors in radians and in degrees. u- o()i + sn()i, v - co( + sm)i…

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Q: Find the general indefinite integral. (Use C for the constant of integration.) sec(t)(7 sec(t) + 9…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

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Q: 1 Given that 1 1 with > x" with convergence in (-1, 1), find the power series for - r. n=0 center 3.…

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Q: Calculate the following limit: lim,→4 4 x-4 O -1/16 O4 O -4 O does not exist

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Q: 3 5). | e2x dx -1

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Q: IV. Determine if the given is convergent or divergent. n Σ #2. (n² + 1)2 n=1

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Q: Determine the third degree Maclaurin polynomial of f(x) = tan 3x. Use this to approximate the…

A: The given function is; f(x)=tan(3x).

Q: O Use the Fundamental Theorem of Calculus to find the derivative of the function h(x) = cos 0 de.

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Q: ( 3x2 + 1, { if r 3 а. —8 b. -18 с. 18 d. does not exist

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Q: Is the vector projection of B onto A, perpendicular to B? Is the angle between projAB and the vector…

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Q: Using homogenous differential equation determine the particular solution of

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Q: +o0 In(tan -1 x) dx 1+x2 1

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Q: (2 tan¯'n – T)

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Q: ind the sum of the convergent series. +00 3n+1 Z 6n-1 n=0

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Q: If f(x)=2x²- xª, then f(x) has... Jika f(x)=2x²- xª , maka titik ekstrim relatifnya adalah.... 1. O…

A: f(x) = 2x2 - x4 we have to differentiate function and find points f'(x) = 4x -4x3 f'(x) = 0 4x -4x3…

Q: Vy x+y Q3) Evaluate triple integral SN S dz dx dy. x-y

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Q: What will be the output of the following code snippet? #include int main() { int a = 3, b = 5; int…

A: Here is the solution

Q: Determine if the two given converges or diverges. { п n 2n + - 1/ n=1 Σ n n \2n + 1 n=1

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Q: 273 - 22 + 2r – 2 dr 1²(r² – 2x + 2)

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Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

Q: Given cos(x) = (-1)" n=0 (2n)! -x2n for all x ER, Express the integral cos x dx as a power series.

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Q: Find the sum of the convergent series. +0 | 3n+1 6n-1 n=0

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Q: Find dx * and then simplify whenever possible. dx2 1) y = 3t5 – 2t x = 4t3 2) y = t-3 – 7 ,x = t? –…

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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: If uxv=uxw, u÷0 then O None of the choices O v=w+ ku O u=v+ kw Ow=u+ kv

A: u x v = u x w v = w but u is any other value so  v = w + ku

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given problem:- f(x) =x2 ,  Find equation of tangent line which parallel to line 8x-y+16=0

Q: Determine whether the following series is convergent or divergent. 3- Vn (a) n=1

A: Solving

Q: ¥2/3 6. cos'x sin x dx 5.

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

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Q: Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2 cos(0.1).…

A: We have to find 3rd degree polynomial for the given function.

Q: Use tabular method to evaluate ƒ –2x³e¬5×dx

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Q: +o0 (-1)*n" sin" () Σ 2n n=1

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Q: Which of the following vectors are linearly independent?

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Q: Q4) Find plane area inside the polar function r 2 and outside the polar function sin -0) +1 in first…

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Q: Determine whether the series is convergent or divergent. (-1)"3"² En=1 2 -1

A: An absolutely convergent series is convergent. P-Test: The series ∑n=1∞1np converges if p>1 and…

Q: Use the method of Lagrange multipliers to find the points on the circle x2 + y2 = 52 that are…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Find Duf at P. f (x, y) = 3(4 +xy)2; P(4,3); u = 1 i+ j NOTE: Enter the exact answer. Duf

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Q: A true statement for the function f(x)=2x³-3x²+10 is.... Pernyataan yang benar dibawah ini untuk…

A: The given function is: f(x)=2x3-3x2+10 Now, f'(x)=2(3x2)-3(2x)=6x2-6x=6x(x-1)

Q: 8.

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Q: Determine the sum of the following series. (– 4)" -1 6" n=1

A: To find the sum of ∑n=1∞ -4n-16n   ∑n=1∞ -4n-16n = -41-161+-42-162+-43-163+-44-164+....⇒∑n=1∞…

Q: 12 A Super Happy Fun Ball is dropped from a height of 11 feet and rebounds 13 of the distance from…

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Q: Express the integrand as a rational function and then evaluate the integral. x - 4 dx Jo x² – 5x + 6

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