sing trigonometric substitution technique, the simplified integral after substitution is: x² - 4 A f16sec-ede B (16sece -de tane S16sec etan@de J16sin*ecosede

Q: Choose the point which shows the correct location for the polar coordinate (-2, - ). 90° 2 W// 135°…

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Q: Consider the following. u = i + 6j, v = 7i - j Find the angle between u and v to the nearest…

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Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x – 10

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Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x + x-4, k= - 1…

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Q: Find the limit of the 4n +2 sequence lim Show your work. n- co V2 n+ 4 ; Determine whether the…

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Q: Determine if the following series is convergent or divergent: 8 n=1 3n2 + 4n + 5 O Convergent O…

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Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

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Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: (x+1) dx B | dx , the values of A & C respectively are 9. -- (r+2)(x - 1)² = /+ (x– 1)², x- 1 3 (А)…

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Q: Choose the point which shows the correct location for the polar coordinate (3, –-45°). 90° 2 WIN…

A: Option D

Q: Convert a = 60o to a Car Oy = x/2 Ox = V3y Oy= V3x

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Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

A: The given question has been solved in detail

Q: Using the fact that the points P, Q, and R are collinear (lie on a line) if and only if PQ × PR = 0,…

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Q: 3. lim f(x) = x³ - 1 %3D X 1 х-1 X approaches 1 from the left- -x approaches 1 from the right 1.001…

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Q: Ln (sin? (D-C)x) Find derivative of f(x) = %3D xD-C

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Q: The marginal cost (in dollars per square foot) of installing x square feet of kitchen countertop is…

A: Here we will find asked quantities,

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = L{f(t)} and n = 1, 2, 3, ...,…

A: Given: L(te-12t)..

Q: 3920 - Sp22 5.4 A person's investment is expected to produce a continuous stream of revenue R of…

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Q: Find the critical points of the following function. 14x f(x) x2 + 49 Select the correct choice below…

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Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

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Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: Find the Taylor series generated by (a) f (x) = 2x at x =1 ( b ) f (x) = 2x3 + x2 +3x-8 at x =1

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Q: Determine whether the function is one-to-one. If it is, find a formula for its inverse. f(x) = x +7…

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Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 4 cose 4 cose 43 r = cose Or2…

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Q: Which values are solutions to the equation on the interval (0, 2m)? Select all correct answers. 12…

A: The given equation,     12sin2x+4sinx-1=0

Q: し+1 n=1

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Q: The region is bounded by the curve y = 6x – x² and y = x² – 2x –

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Which of the following will yield an inverse trigonometric function e2* dx A 4+e2r ydy B -16 wdw 25-…

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Q: Select the answer option that corresponds with polar coordinates (2, 90\degree). 90° 2 WIN 135° 4…

A: This question is related to Coordinate systems, we will solve it using given information.

Q: For f(x,y)=-6x'y° : (a) Determine fx(x,y) . 6.6 Answer: -42x (b) Determine fy(x,y). Answer: -36x 7.5…

A: Given query is to find the Indicated derivative.

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. y' =…

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Q: Evaluate the line integral, where C is the given space curve.     Cxyeyz dy,   C: x = 4t,  y = 4t2,…

A: Firstly change the given line integral in terms of 't' and then solve.

Q: 3.1 e*dx Evaluate: (e**+1)/[e"+1)?-4

A: option A

Q: 4-z² 2-y а zdxdydz = b Find a + b

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Q: %3D (2xy + y)dx + (x² + 2xy – y)dy = 0

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Q: Given that cos A =-9/41 and that angle theta terminates in quadrant II, then what is the value of…

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Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3,4), and…

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Q: Use the graphing utility to plot the graphs of y = cos (x) and y = 2x. (Enter multiple functions of…

A: We will graph the functions.

Q: sin'x cos x dx (1– sinx)2(1+ sinx)? Evaluate: sin 8x

A: ∫sin7xcos5x1-sinx21+sinx2dx=∫sin7xcos5xcos2x1+sinx21+sinx2dx=∫sin7xcosxdxLet u=sinx.=∫…

Q: Simplify sec(arcsin ). no solution O (3V5)/5 O (2 V5)/5

A: Solving the problem by finding the value of the expression.

Q: 11 Convert the Cartesian equation y = 5 to a polar equation. r = 5cscθ r = 5secθ r = 5sinθ

A: We have to find the polar form

Q: Consider the surface F(x, y, z) = x°z³ + sin(y+z5) – 7 = 0. Find the following partial derivatives…

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Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: Σ (-1)"+1 n³+1 n=0

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Q: Simplify arcsin(sin 6 7). 6 7I

A: We have to find the angle

Q: Determine whether the lines

A: To find out that the lines are parallel, intersecting or skew.

Q: 1. Find the angle between the following two vectors. and

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Q: a.) S dx/x²+4x+5 b.) S(cscx – tanx)²dx

A: topic - indefinite integral

Q: Which of the following is one of the correct steps to evaluate cos dt to obtain the correct indef…

A: Follow the procedure given below.

Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence