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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: 3) The region bounded by y = x³ – 1 and x- axis on the interval [-1,2].

A: We need to find region bounded in given interval.

Q: Determine whether the following series converges or diverges. If the series converges, determine the…

A: 1)∑n=1∞ cos2πnan=cos2πnApplying series divergence test;limn→∞ cos2πnlimn→∞ cos2π∞=cos2(0)=1limn→∞=1…

Q: Consider the function f(x, y): 5xy 2x2 + y? (a) State the domain of f(x, y). (b) Find the limit 5xy…

A: f(x, y)=5xy2x2+y2A)Domain f(x, y)The function is defined everywhere.Domain: (x, y) ∈ (R×R)

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

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Q: ] Using the alternating test, determine whether it converges or diverges

A: Answer and explanation is given below...

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

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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…

A: Let's find.

Q: ax²-3 -,x > 1 х-1 Value of a and b that will make f (x) = continuous everywhere are .... (bx + 2,x…

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Q: (-1)" V2n2 + 5 Given: power series (x+ 1)" n=1 Determine if the resulting series of constant terms…

A: To solve the following problem

Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). none of the choices ex e2x

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Q: Determine whether the following converges or diverges. 2n + 1

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Q: eries > 22n (2x – 1)". In? +1 n=1 adius and interval of convergence of the power series. argest…

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Q: i. 3. evaluate the following integral

A: I have provided this answer with full description in step-2.

Q: I. Evaluate the following integrals. •ln 2 #3. e2" sec-(e")dx

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Q: x + 2, untuk x 3 The following statements are true, except x + 2, untuk x3 Pernyataan dibawah ini…

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Q: Find the area of the triangle with vertices P(1,3, –5), Q(0, 0, 0) and R(2,4,1). NOTE: Enter the…

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Q: f(x) = -x^2 + x + 20 and g(x) = x^2 - 5x . Compute the area of the region enclosed  by the graphs of…

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and Edit 10x – 5y – 5z – 26 = 0. -

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4,…

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Q: Find the general solution of 2x². 2² + y? dx Find the general solution of (2x – y) dy 2y – x d.x dy…

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Q: Determine if the improper integral La dx converges or diverges. If it converges, find its -1 (1-e*)2…

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Q: +0 (-1)m cos(b) = S-1)" -b2m (2m)! for all be R m=0 Given the integral of J cos² x dx, express it as…

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Q: Determine whether the given converges or diverges. n Σ 2n + 1 n=1

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Q: VII. Let f(x) = %3D 1– 3x 1. Find a power series representation for f(x) for all r € 2. By first…

A: Solution is given below:

Q: 2 f(x) ; а3D0, Ь%3D1 1+ x %3D

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Q: 0 e1/x dx

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Q: I. Evaluate the following integrals. Зx3—2х2-4х-3 dx x² (x²+x+1) 2.

A: Given: I=∫3x3-2x2-4x-3x2x2+x+1dx   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And…

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

A: This is a problem related to differential equation. Based on the general formula we will answer the…

Q: x2-9 If f(x) = then f (x) discontinuous at x= 3 because..... x-3 x2-9 Jika f(x) = fungsi f (x)…

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Q: II. Consider the sequence (n + 2)! n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Given

Q: 1 1. d.x J #(9 – In² æ)5/2°

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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: Using Lagrange multipliers, find three positive numbers whose sum is 9 and such that the sum of…

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Q: I. Evaluate the following integrals. 1 1. -d.x J #(9 – In² a)5/2°

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Q: ¥2/3 6. cos'x sin x dx 5.

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Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

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Q: 1 Given the function g(a, b) = suppose m = g(a, b) where a2b+b a = cd b = c3 + 6d The task is to use…

A: Given problem:-

Q: du 2. f 1-cos? 2u

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Q: Find the surface area of the cone z = ' + y² that lies between the plane y = x and the cylinder y =…

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Q: + inf 1 Σ п2 — Зп + 2 n=3 W

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Q: The region R is bounded by the curve with equation y = sin 2x, the x-axis and the lines TT x = 0 and…

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Q: I 3n O The region bounded by y = sin x and x- axis on the interval [-

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

A: We have to check the given series is convergent for x=5

Q: Which formula shows the basic concept of substitution method on integral Manakah yang merupakan…

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Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

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Q: +00 (4-х)^/п+5 4. Consider the power series 9n-7n n=1 а. Use Limit Comparison Test to show that the…

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Q: Given the integral of S cos² x dx,

A: O integrate the given function.

Q: Q. 1) The table below gives the readings from a laboratory experiment. Time (t) |3 5 6 Reading (y) |…

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Q: Use the triple integral to find the volume of the given solid. The solid enclosed by the paraboloid…

A: Use the triple integral to find the volume of the given solid. The solid enclosed by the paraboloidx…