In trigonometric substitution where the integral involves va? + u², what must be the value of the opposite side of 0 on the right triangle?

Q: af Given f(x, y) = In(6x² + 8y²) then %3D

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Q: Derivatives of trigonometric functions Find the derivative. 1. y = 3sin x +3 cos x - tan x

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Q: Find the slope of the line passing through the points (-1, 3) and (-8, 3). slope: | Find the slope…

A: Solution ) slope  m = (y2 - y1)/( x2 - x1) 1) point ( -1 , 3 ) , ( -8 , 3 ) slope m = ( 3 - 3 )/( -…

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: 5 If csc² A = ;, what is the value of 1- cos? A? 2 5 5 2 2 Option 1 O Option 2 2 2 D Option 3 O…

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Q: Find parametric equations of the line through (-1,0,1) that is parallel to 2i – 6 j+ k. -

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Q: Find the derivative with respect to x if f(x) = e -14x The derivative with respect to x if f(x) =…

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Q: (8x? + 2x) dx = 2x + x? Select one: OTrue O False

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Q: Graph the equation below. Choose the correct graph. y = 5.5* OA. O B. OC. OD.

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Q: Consider the function y = 4ex + 7. What is the exact value of C in the interval [0, 5] such that…

A: We need to find value of C.

Q: Evaluate ſV7– x²dx

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Q: Q4: Evaluate each of the following integrals: (a) | (4+ cos x)· sin x dx (Substitution)

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Q: he power supply of a satellite is a radioisotope (radioactive substance). The power output P, in…

A: Given: The power supply of a satellite is a radioisotope radioactive substance. The power output P,…

Q: Given f(a) = 1- 홀 (3 + 4a) + 용(3+ 4z)2 - 꿈 (3+ 42)3 then f'(x) = 27 (3 + 4x) 8. 흥(3+ 4z) + (3+ 4z)2…

A: topic - derivative of a function

Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: The length of a rectangle is two-fifths of the radius of a circle. The radius of the circle is equal…

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Q: Which of the following is TRUE if sin 3A = cos 6B, where 3A and 6B are complementary angles? * A + B…

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Q: Let the region R be the area enclosed by the function f(x) = Va and g(x) = x. Write an integral in…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: To determine the point of intersection of the given line and plane.

Q: – ydy (у+ 1) — у+1

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Q: Let f be a continuous function on [a, b]. Which of the following statements is false A If k is a…

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Q: Question x*-5x³+6x²–18 Using Partial Fraction Method, evaluate: S x3-3x2 Your answer

A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains…

Q: Find dy and simplify whenever possible. dx 1. y = arcsin + 4-x2 2. y = In(e¯* + xe¯*) sin x cos x…

A: To find derivative of given function.

Q: 8 4 4 -7 (a) h(x) = 7X 1 -7 (b) g(x) = 7x (c) k(x) = - 7X %3D %3!

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Q: Let the region R be the area enclosed the function f(x) = x², the horizontal line 6, and the y-axis.…

A: Explained below

Q: 2. Solve the given the equation using the integrating factors found by inspection. [2х + усos(ху)jdx…

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Q: tion Using Integration by parts, evaluate: S x³Vx3 + 1dx Your ancwor

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Q: Find the volume of the region lying above the cone o = and below the sphere p = 7. (Use symbolic…

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Q: e" + e¯ cosh(r) : e - e sinh(r) 2 Use our rules for differentiating e" to show that cosh'(r) =…

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Q: true or false 1. ∫dx/(1 - 2x) = 1/2 ln|1 - 2x| + C 2. ∫ (1 - 4x4 + x3)/x3 dx = 1/(2x2) + 2x2 - x…

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Q: x'sec'ydy – (1 – 2x²tany)dx = 0

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Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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Q: For an integral of the form f sin™(x)cos"(x)dx, saving one sine factor and converting the rest to…

A: Given data÷

Q: On which interval is the function increasing? * 40- 20- 2. 20- -40- O (- 3, 3) O (3, 5) (- 5, - 3) O…

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Q: Consider the function y = 3(square root of x) + 8. What is the value of C in the interval [4, 9]…

A: First we will find fave

Q: Find the dot product of the following vectors u and v. %3D

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Q: For what values of x is the graph of y=xe-4x concave down

A: Given  that y=xe-4xSolution :if d2ydx2<0 then concave down.

Q: vo Variables 4)dr + (2r. (2. 4x)dı

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -9i + 80j - k v = 9i + j - k O…

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Q: cos3 x+sin² x cos x dx 1-sin? x

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Q: (Rounded to the nearest hundredth) Use the cylindrical shell method to calculate the volume of the…

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Q: ( cos³x dx sin*x 9.

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Q: (w°t wz? -z) dw +(z² tw² -w) dz= 0

A: Let's find.

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

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Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

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Q: ds For the following function find the antiderivative s that satisfies the given condition. dt ds =…

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Q: Question For the functionf(x) given below, evaluate lim f(x) and lim f(x). f(x) = 1 – 2x* +x²…

A: I am attaching image so that you understand each and every step.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Simplify -3j 1234567+ 4j98765432 – 5j-32198765 + 6. What is the imaginary part of the result? O 2

A: Given: -3j1234567+4j98765432-5j-32198765+6