Evaluate the integral. 3-/4 5 sec e tan e de

Q: The first step in solving the integral of tan(x)dx/[1-(tanx)^2] is by transforming the tan(x) In the…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Use dx x(In(x?))5

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Q: B. Identify the function, whose derivative is defined below: dy = lim (x + h)? – x? dx h→0 h А. f(x)…

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Q: calculate the flux of the vector field through the given surface F = zi + (y −1)j + 5xk, and S is…

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Q: If f(w) (7w), find f(w). Use exact values. COS f'(w) =

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Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where 0 sts 1. 3у?) dy

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Q: Watch the video on Lissajous figures e before answering this question. Which of the following sets…

A: This is a problem related to curve plotting. based on the online available calculator we will plot…

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

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Q: Use polar coordinates to evaluate the double integral of y(x^2+y^2)^2 dA, where R is the region…

A: Let's find.

Q: b. Shown below is the graph of a function f(x). Determine the value of each of the following. i.…

A: Topic:- application of integration

Q: d d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differenti dt dt the product directly and…

A: We have, r1(t)=3t i+7t2 j+4t3 k , r2(t)=t4k

Q: The following figure provides the plot of f(1). -4- 3. 2- 3. -2 -1 2-

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Q: (3x-2)cx In the integration --17 what integration method is appropriate? a. Integration by Power…

A: Use integral methods

Q: Suppose that z = f(x, y) is differentiable at the point (1024, 1024) withf,(1024, 1024) = 5 and…

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Q: Find the arc length L of the graph of r(t). r(t) = 5 cos(t)i + 5 sin(t)j + tk, 0 <t < 2n L

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Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: uilding that is 225 feet tall casts a shadow of various lengths as the day goes by. An angle of…

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Q: |(sin5 (x)) dx

A: Given ∫sin5x dx

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min.…

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Q: 1. Graph the system of inequalities 2х + у S 50 4х + 5y < 160 x 2 0, y 2 0

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Q: Part A: Design a function that meets the following criteria: The function must have both a…

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Q: dy 3. Use logarithmic differentiation to find dx for y= Vxe* (x' +1)"

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Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: Evaluate the definite integral. Si f (x) dæ, f (x) =4"-(7a+ 13)/a?

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Q: 4. S(e* + vx – x* + 2)dx = %D

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Q: y'= x(5-x)² when: Theni I y=0 y=0 x: 0 (0,0) Use vertical element metho d: y x(5-x)*

A: Given question is solved with explanation.

Q: Find the limit. lim (t i - 5 j+1² k) i+ i j+ i k lim (t i-5 j+r k) = i %3D

A: This question is based on limits.

Q: After using Pythagorean identities to solve the integral of (sinx)^5*(cosx)^5, the next step would…

A: The given integral is; I=∫sinx5cosx5dx   We know that the Pythagoreans identity; sin2θ+cos2θ=1 The…

Q: Evaluate F. dr. F(x, y) = 7xi + 4yj C: r(t) = ti + V4 - tj, -1 sts

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Q: 3. Suppose that the revenue in selling x tables is equal to 200x – 0.25x2 dollars, and producing a…

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Q: 1. Describe the graph of the equation: x2 – 5y2 – 4x – 10y – 46 = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 4. The path of a baseball relative to the ground can be modelled by the function dlt) = – f² + 8t +…

A: derivative

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

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Q: Use a finite approximation to estimate the area under the graph of the given function on the stated…

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Q: F. dr. Jc Use Stokes' Theorem to evaluate F(x, y, z) = z²i + 26xj – y°k %3D where C is the circle x?…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: Given the formula B V R, where statement B is true and statement R is False, the whole formula would…

A: We have to choose correct option

Q: In the integration of x dx/(9 + x^2), what is the appropriate integration formula? Integration of…

A: Given ∫x dx9+x2

Q: 2.4

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Q: H.W: vectors u =-2i + 4 j – v5k and v = 2i – 4 j + /5k , find: 1. the vector proj,u 2. the scalar…

A: Given  u=-2i+4j-5k &amp; v=2i-4j+5k

Q: a) Find the arc length of the catenary y = coshx between X 0 and x = In4. b) Graph the functions y =…

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Q: Q1. Which of these expressions is NOT factorised? А. X(х + 1)(х + 2) В. (х+ 1)(х+2) С. x (х + у) —…

A: Solving the problem by finding the correct answer.

Q: Suppose that z = f(x, y) is differentiable at the point (1024, 1024) with f,(1024, 1024) = 5 andf,…

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Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4 – x²…

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Q: Differentiate h(t) = 54ª %3D

A: Solution of given question is written in below steps.

Q: 2+ 12 40. Find all local extreme values of f(a) The FIRST local extreme value, moving from left to…

A: Find out the maxima and minima.

Q: Find a power series solution around xo = 0 for y" – xy = 0

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Q: Verify Green's Theorem by evaluating both integrals aN v? dx + x² dy | dA ду ax for the given path.…

A: Given problem:-

Q: A2 (II)An investment of I grew to a value of £1648.72 after 10 years with continuous compounding at…

A: Find I.

Q: Q8. Identify the function, whose derivative is defined below: (x + h)2 – x? dy - lim dx h→0 h A.…

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