Question 5 The integral - (Α S se ® / B Ⓒ / - (D x dx x²+√√√x²-1-1 *sec²0 de 1+tano sece tane de sece - 1 sine de 1 + cose cose de 1 - sino can be transformed to which of the following using trigonometric substitution?

Q: -1 valuate the following expression without using calculator : tan sin (³²) +cos 35 - 12

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Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y x-4 1-2y…

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Q: The curve defined by R(g) = 1. Considering f(g) to be a function such that f (1) = 0 and f' (1) =3.…

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Q: (x4 - 4x²y²-y4) dx + 4x³ydy = 0; when x = 1, y = 2

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Q: Find an equation of the line tangent to the graph of f(x) = (4x-7)(x+4) at (2,6). The equation of…

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Q: S= The integral dx can be transformed to which of the following when trigonometric substitution is…

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Q: 19

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Q: 6. Evaluate the following triple integral. SASAS. P 0 p² sino dp de dø.

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Q: If f(x) = 24x + 12, find the slope of the secant line between the values of x₁ = - 1 and ₂ = = 2.

A: Topic = Function

Q: find the inverse Laplace Transform of the functions     a.) 5/3s b.)14/((3s+2)(s-4))

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Q: 4 The slope of the tangent line to the curve y = X at the point 5, is: 5

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Q: Question 1. Let f(x,y) = y²e¹x. (a) Find the linearization L(x, y) of the function f at the point…

A: To find the linearization.

Q: Find the acute angle between two tangent lines at point of intersection between two curves xy = 5…

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Q: 2x+1 (b) g(x) = f(x)

A: We want to find the differential of g(x)

Q: if a 3 letter word is formed by randomly choosing 3 letters from the word PAINTED, what is the…

A: This question can be solved using the concepts of permutation and combination.

Q: 18

A: We will solve the problem

Q: (x - 3y + 3)dx + (3x + y + 9)dy = 0

A: On solving this we will get

Q: f(x) = x² + 5x - 1

A:

Q: QUESTION 6 ·S. sece tane de sece - 1 The integral cose de 1-sine sec²0 de 1+tano sine de 1+ cose x…

A: Let's transform given integral.

Q: remaining

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Q: For the following exercises, find aj dt and direct substitution. 225. f(x, y) = ln(x + y), x=e¹, y =…

A: Given;  f(x,y)=ln(x+y), x=et, y=et.

Q: WAN 1 2 3 4 The graphs of 4 functions are shown above, and the graphs of the derivatives of those…

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Q: Consider two athletes running at variable speeds v₁ (t) and v₂ (t). The runners start and finish a…

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Q: e formula C = (F-32), where F2-459.67, expresses the Celsius temperature C as a function of the…

A: Topic:- function

Q: Consider the function f(x) = x² - 9x + 20 x - 3 a. Find the first derivative. f'(x) = b. List any…

A: We have to find the derivative and monotone intervals.   According to our guidelines we can solve…

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

Q: Let u = 1-16x². For the integral with respect to u, one limit of integration will be 1. What is the…

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Q: What is the value of f(1) - 16B in x3 Inx dx = f(x) ((1/4) Inx - B) + C? 0 01 02

A: To find out the correct answer.

Q: f(x)=8x¹-7x³+2 on [−2,1]

A: To compute the average value of the given function f(x)=8x4-7x3+2 on [-2, 1]

Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

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Q: 19

A: We will solve the problem

Q: 3. z = x+y x-y

A: The given function is  z=(x+y)/(x-y).

Q: Solve using Euler's Method dy dx sin(x+y) ex,y (0)-4, h-0.1 -

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Q: Question 2. Find the limit, if it exists, or show that the limit does not exist. (a) 4xy (2,3)—(0,0)…

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Q: (c) y = 1, y = 1/2, x = 2 (d) y = √x, y = 22, x=9 (e) x = 2y², x = 4 + y² (f) x = 1 - y², x = y² – 1…

A: The area between any two curves is given by formula A = ∫ [f(x) - g(x)] dx  with limits from a to b…

Q: u = xz siny + yz cosx + xy tanz

A:

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) c) is…

A: Concept: The equation of the line segment parallel to the given axis and passing through the point…

Q: 2- Compute 1+i 2-51

A: Given that,      1+i2-5i

Q: Given the following planes: 1. 2x - y - 6z = 5 II. (x-1, y - 1, z - 6) * (3, 1, 1) = 0 III. (0, 8,…

A: Topic: Plane in three dimension geometry The solution is given below:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Determine the center-radius Form of the equation of the sphere whose- diameter has endpoints at (2,…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: The solid bounded by the paraboloids 2= - 8+z²+ y² and z -3-32²-3y² has volume:

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Q: Question 10 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

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Q: = Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x)…

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Q: Solve each of the following equations, showing all work. a = log₂z (4x²) -4 = log t

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Q: Let f(x) = { 6 - x - x² if x ≤ 2 2x - 7 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: On solving this we will get

Q: Consider the point P (-3,-1,5), the line : x = 3 t. y, y = -6t -3₁ z = 2t +1, and the Flane 1² : 7…

A: Given

Q: m-1 1 + m 1 m m+2 ¹tan (+2)(x) + —tan" (x) + C m-1 1 + m 1 m+3 Ɔ+ (*) (1 - 1)² + (x) (1 + m) U²1-…

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Q: x² - 25 to fill in the table: Xx - 5 6 5.5 5.1 5.01 Based on ONLY the table of values above, what…

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