|x = 3 sin´ (3t ) +1 ;teR = 2 cos (3t)–1

Q: Find the derivative of the function at P, in the direction of A. f(x.y.z) = xy + yz + zx, Po(1, -…

A: Given :   f(x, y, z)=xy+yz+zx P(1,-1,3)

Q: Find the sum of the first 100 terms in the arithmetic series 1+2+ 3+4 + ... + 100.

A: To find the sum of first 100 terms of given arithmetic  series.

Q: 15 x2-35 + 25 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C EZ. (x - 1)(x…

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Q: Evaluate the integral. tan x sec³xdx

A: LetI=∫tanxsec3xdxSubstitute u=sec3xDifferentiate…

Q: 2x y= Arccos(e)

A:

Q: Given: points A (3, 1, 6), B (5, -1, -2), and C (1, -3, 2) 1. Show that A, B, and C form the…

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Q: need to find nth term, question is: Find a formula for the nth term of the sequence -1, 8, -27,…

A: Given query is to find nth term

Q: 2. If the acceleration function of a certain particle is given by a(t) the velocity function…

A: We know that if we integrate the acceleration function then we get the velocity function . we used…

Q: The polar coordinates of a point are given. Plot the point. (2. ) z/2 R/2 2 1 -1 2 1 R/2 2/2 -1 Find…

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Q: Find the limit of the following convergent sequence. a, = 3, an+1 = 8+ 2a, O A. 9 О В. 8 О с. 3 O D.…

A: Use the given first term and keep calculating the subsequent terms and then reach to a conclusion.

Q: 19. cos (20) 1/2

A: We will find the value of θ in the following step.

Q: Question If you were to use a substitution of u = cos(x) to evaluate the definite integral below,…

A: Use the given substitution to find the new limits

Q: Find the linearization L(x.y) of the function at each point. f(x,y) = x2 + y2 + 1 а. (3,2) b. (2,2)…

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

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Q: Suppose that for a company manufacturing bluetooth and wireless headsets, the cost and revenue…

A: Let's find.

Q: Find the nth Maclaurin polynomial for the function. f(x) = sin(x), n = 6 Po(x) =

A: nth Maclaurin polynomial for the function f(x) :       Pn(x) = f(0)+f'(0)x +f''(0)…

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

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Q: 3 2x hnd the f area o 2. the Sheded veg ien

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Q: 7x – 2r – 12 For the function f(x) =- x² +6 a) Find the equation of the non-vertical asymptote b)…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: Let's find.

Q: Find the net signed area between the graph of the function f(x) = |x +3| – 4 and the r-axis over the…

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Q: The series 1 + Vn? 1+ Vna 00 n=1 is convergent if and only if: Select one: 72 a > Ob. 35 a * 35 4 O…

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) =x, a = 3 %D O A. P3(x) = 1 + 6(x-…

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Q: Sexe" ds, C is the line segment from (0, 0, 0) to (1, 2, 3)

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Q: To evaluate f dx, we choose : ,dv = xdx b)u = Vx - 1, dv = x dx %3D du

A: ∫xx-1dxLet u=x-1.=∫ 2u2+1du=2·∫ u2+1du=2∫ u2du+∫ 1du=2u33+uSubstitute back…

Q: The function x2 f(x) 1 - x is decreasing on (0, 1). Select one: O True O False

A:

Q: Graph y = - cos (x -) by Transformation of y = cosx. Show and label each Trigonometric function…

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Q: 프-3r-dx= a) 클m3x + 21+ tanx + C b)습 미3x + 21-tan'x + C Q13:J +1)(3r+2) d)흘 I미3x + 21+ tanx + C -1…

A: The integration of the integral is  (2x2-3x) /[(x2+1)(3x+2)].

Q: b) Find the values of a and b so that the unction f(x) = x + ax + b has a local maximum at the point…

A: Given function f(x)=x2+ax+b The local maximum at the point(7, -6) We need to find a and b

Q: The power series representation of 8. f (x) = x+7 centered at x=2 is: O :- 8 8 8 8 81 (*- 2) + (x-2)…

A: Topic = Series

Q: Solar Power More and more businesses and homeowners are installing solar panels on their roofs to…

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Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh () – ei, find…

A: Given Data: a(t)=secht2tanht2-et2 Solution: Let v(t) be the velocity. We know that, dv(t)dt=at…

Q: sin(x²) ate lim 1+0- e2r – 2x – 1°

A: zero by zero form then apply L hospital rule

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. 2…

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Q: The radius of convergence of the power series representation of 9x f(x)= 10x+7 10 is R= Select one:…

A: Given

Q: Sólvé thé équátión ón the interval U30<2T. 0<2x. 4 sin 0 + 5 = 7

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Q: iv. L, x* (e* – e*) dx

A: Given:

Q: 120 a) Asymptotes b) Local maximum or minimum c) Behaviour Page 3 of 4 d) Based on your graph, fill…

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Q: Given the vector ủ = (2,0,1) (a) Solve for the value of a so that ū and i = (a, 2, a) form a 60…

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Q: 2у — 4 dy 2 + 49 с.

A: To evaluate: I=∫2y-4y2y+2dy=-∫4y-2y2y+2dy=-∫22y-2y2y+2dy=-∫2y-12y+22ydy=-1ln 2∫2y-12y+22yln 2dy

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

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Q: Select the correct answer. What is the value obtained by using left endpoints with n= 4 subintervals…

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Q: by rotating Find the Volume oF the solid obtained bounde d by und X=4 y=o rotating y= 8 on

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Q: What are intervals of concavity of the function f(x) = -2x – 6x² – 3 ? a. Concave upward on (-o, -1)…

A: Given query is to find the interval where function is concave up and down.

Q: 5. Find the directional derivative of f (x, y, z) = e* cos(xyz) the point (1,- 2.0) in the direction…

A: On solving this we will get

Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s². She is running in a…

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Q: Find all the local maxima, local minima, and saddle points of the function. 4x² + 4y² - 32x f(x.y) =…

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Q: 1 Determine the values of a, b and c if: 2(a,b,4) +(6,8, c) – 3(7,c,-4) = (-24,3,25)

A: We can solve this as follows:

Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: -2 is a critical number of the function f(x) = /2x - x2, Select one: O True O False

A: The given function is  f(x)=sqrt(2x-x2)