lim (i-8j+² k) 4 lim (r 1-8j+² k) = 1+ 16

Q: 15 Find sin 2x, cos 2x, and tan 2x if cosx = 17 and x terminates in quadrant I.

A: Given that  cos x = 1517 and x terminates in quadrant I. We have to find  sin 2x, cos 2x, and tan…

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A: We have to give reason and then solve the integration .

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Q: Using trigonometric substitution to evaluate, 2 5² dy y√√y²-25

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A: Given curves: y=ex, y=xex We have to find the intersection points of both curves Therefore, ex=xex…

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A: The given function is f(x)=x9e-x at x=0.

Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 ≤ t ≤ 1. [(x + 3y²) dy

A: We can solve this as follows:

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Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7…

A: Let's find.

Q: 3. Find the area of the band cut from the paraboloid x² + y² -z = 0 by the planes z = 2 and z = 6.…

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Q: 5 4. What is of 12%? 12 3 5. What is - of 1% ? 4

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Q: The function f(x) is described by the graph below. 6 2- -1- -7 -6 -5 -4 -8 -2 -1 0 4 5 6 -1- -2- -3-…

A: Draw the tangent to the curve at x=1.5 & x=2 as shown:

Q: The approximate value of -31.8 using linear approximation, O (E) None of the choices O imaginary O…

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Q: Let f(x) = 3x5 - 5x³.

A: As per our guideline we are supposed to be answer only first three subpart of the question you can…

Q: 13. What is f2sinx cos x dx? 2cos.x A. +C In 2 C. 2cos.x B. +C In 2 D. 14. Which of the following…

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Q: dx Find -given that dt 7x² + 6y² = 13 x = 1, y = - 1, and Give your answer as a simple fraction. dx…

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Q: Solve the following Bernoulli's differential equations. 1. x²y' + 2xy-5y³ = 0

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Q: Verity Green's Theorem by evaluating both integrals ƏN [x² dx + x² αy = [] (2 - 0) A √y² dy dA ax ду…

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Q: Using trigonometric substitution to evaluate:, find t * St³ (3t² - 4)ždt, O t = (2/V3) tang O t =…

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Q: S COSA Sin 2X. C dx

A: We have to find integration

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Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 8 Σ (-3)" w=1

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Q: 3.x√x² + 1dx

A: Given query is to find the value of the integral.

Q: Find the differential dy: y = In (sec² (3ª²–2x+5)).

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Q: The outer diameter of a spherical tank measures 6 feet. If the tank is made with a material % inches…

A: Given problem:- The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

Q: d³y d²y dy+y=0 dx3 dx² dx

A: d3ydx3-d2ydx2-dydx+y=0                (1)LetD=ddxTherefore   equation (1)…

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Q: 3. In evaluating the integral S fractions. Let x² dx (x-1)²(x²+1)' you will decompose x² dx…

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Q: The Bernoulli's form of the differential equation 2x³dy-− y(y² + 3x² ]dx = 0 is

A: As per our norms we have to write one question at a time kindly repost remaining questions.

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

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Q: What is the contrapositive, converse, and inverse of the ff. propositions The home team wins…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Find the limit. lim 1-4(t i-8j+t² k)

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Q: a. Find the other functions of the triangle ABC, given that: 1. Sec A = 2 2. Cot A = 5/2

A: Solution is done in step 2

Q: (1+x²)dx+(y− tan^'(x)) dx = 0;

A: (1+x^2)dy+(y-arctan(x))dx=0 (1+x^2)dy=(arctan(x)-y)dx dy/dx=arctan(x)/(1+x^2)-y/(1+x^2)…

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Q: 15 Find sin 2x, cos 2x, and tan 2x if tan x= and x terminates in quadrant III. 8 sin 2x = S ? cos 2x…

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Q: Using trigonometric substitution to evaluate: The first thing we'll need to do here is complete the…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: To find the domain of rt and the value of rt0.rt=cosπt i-lnt j+t-16; t0=17

Q: Find the derivative of f(x) = x²e² A. re* (æ+2) B. x² + 2x C. —xe* (æ+2) D. x²e - 2xe O U A B

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Q: f(x² - 8x +21)²

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Q: 5. Consider the surface obtained by rotating the graph of f(x) = 1/2, 221, around the z-axis. This…

A: We will show this using integration ∫1∞1xdx = ln x1∞ = limx→∞ln x = ∞

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A: Area above x axis is positive  are below x axis is negative ∫02 gt dt  = area from 0 to 2=16∫24 gt…

Q: Using trigonometric substitution to evaluate: find x * S dx, √x²+16 x4 O x=4 tang O x=4 sing Ox=4…

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