Use the figure below to find the exact value of the trigonometric run tan(A) 7 A

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: Consider the points 19,0.633,21,0.335,23,0.12,25,0.064 and 27,0.044. Find the Average rate of change…

Q: Many patients get concerned when a test involves injection of a radioactive material. For example…

A: Given :   The curve is to be fitted R = Ae(Bt) Taking log both side  log10(R) = log10 A + Bt log10…

Q: [3 37 tan5 x sec4 xdx Х

A: Given:

Q: |-*^= 39. What is the length of the curve y = √x- between x = 0 and x = 2?

A:

Q: 5. Find the volume of the solid by the shell method. The solid is obtained by rotating the region…

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Q: dw (C): If w = tan x and x = 4t³ + t ; Find dt

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Q: [² 11. [(2 sinx+cos.x) dx 9. 13. 15. x¹/3 19. 21. 3 x2/3 - dx 17. [(3 cos x - 2) dx [(5x- 2²/1) dx…

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Evaluate the following integral. π 2 7y sin y s s dx dy 0 0

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Q: 013 Verify that the function satisfies the two hypotheses of Mean Value Theorem on the given…

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Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i +…

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Q: Use the substitution u = 3x²-2 to find the following indefinite integral. Check your answer by…

A: We need to find integral.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 1t, where 0 ≤ t ≤ 5.5…

A: Given: v(t)=10 -t, 0≤t≤5.5

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 3 cos(t)i…

A:

Q: Q5: Find for the following functions: (4) y = x sinh 2x cosh 2x (3) y = e* sin² x In√x

A: The given functions,3) y=exsin2xlnx4) y=xsinh2x-12cosh2x

Q: 13. 2ny(8- y³/2) dy A) 4² (14 — y³/²) + C 7 2my 7 (14-y3/2) + C C) B) T² (14+y³/2) + C 7 D) 4²…

A: 13. The given integration is: ∫2πy8-y32dy To evaluate the given integral.

Q: Find a differential equation whose general solution is 8t y = c₁est + c₂e-2t. = 0

A: We can find the differential equation as below.

Q: 3. (x³+xy²-y)dx + (y³+x²y+x)dy =0

A: We need to find the solution for (x3+xy2-y)dx+(y3+x2y+x)dy=0

Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

A:

Q: Find an equation of the plane tangent to the following surface at the given points. zexy; (1,0,1)…

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Q: 1. Integrate: [x³ sin(2x) dx.

A: As per Bartleby guideline, only the first question has been answered. If you want to get the answer…

Q: Find the shortest distance between the point A (3, 10) and the line y = x + 1.

A: Our Aim is to find the shortest distance between the point A(3,10) and the line y=12x+1 -(i)

Q: Find the general solution of the following differential equation. 64y" +80y + 25y = 0 NOTE: Use c₁…

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Q: 9. (x²-x+y) dx - x dy = 0 10. (2y² + 2y + 4x²) dx + (2xy + x) dy = 0

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Q: (B): If A = 2i +3j - 4k; B = 3i-4j+5k and C=i+j-k, find: (ii) B.C (iii)A. (B+C)and (A + B).C (iv)…

A: Given: A→=2i+3j−4k;B→=3i−4j+5k and C→=i+j−k We know that x1i +y1j+z1k·x2i +y2j+z2k = x1x2+y1y2+z1z2

Q: cos¹3 xdx 2. Dễ sin12xcos®xdx 1.

A:

Q: Find the solution to the initial value problem. dy = 2√√√√t, y(1) = 7 dt y(t) =

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Q: 11, 0-20² 2. 3. चं 5. T S cos 2x dx sin(²³) cos²(:-) / dx 2x-1 4x dx dx 6. 7. 8. S [² (x² + 0²³) dx…

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Q: (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1 2x-y-z = 0 x +2y-z = 4

A:

Q: Find f(145) (x) for f(x) = 83x¹0⁹. Simplify your answer completely. f (145) (x) =

A:

Q: Use the method of reduction of order to find a second solution of the differential equation t²y" —…

A: See this solution in below

Q: There are 2 workers in one of companies, the company has determine the normal work hours by 8 hours…

A: This includes building costs, property taxes, utilities, payroll taxes, benefits, insurance,…

Q: Q5: Find for the following functions: dy dx (1) In(x - y) = xy + y³ ; (2) y = tan³√/cot(7x);

A: To find derivative.

Q: f(a+h)-f(a) h a. Use the definition mtan = lim h→0 b. Determine an equation of the tangent line at…

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Q: (C): Solve the following equations:- (1) sin 2x + 2 sin² = 1 (2) sech x - 4 tanh x = 1

A:

Q: At what rate is the angle between a clock's minute and hour hands changing at 7 o'clock in the…

A: To find: Rate of change of angle between a clock's minute and hour hand at 7 AM. In other words, the…

Q: For what values of a and b is the line 2x + y = b tangent to the curve y = ax² when x = 4?

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Q: A spherical raindrop evaporates at a rate proportional to its surface area with (positive) constant…

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Q: What is 2x2

A: We can answer the question as below.

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

A:

Q: A solid of revolution is formed by revolving about the x- axis the region bounded by the curve y √2x…

A:

Q: (a) Find S 1+ (x + 2)² dx and 1+ (x + 2)² dx.

A: Concept: Integration: The summing of Discrete Data is indicated by Integration. To determine the…

Q: Q1: Answer two only (A): Solve the following linear equations by Cramer's rule: x + y + 2z = 1…

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: -2- 0 y = g(x) 4 7 x

A: To evaluate the integral.

Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die…

A: The objective is to solve the above question.

Q: Given the function f(x) = x² – 3x f(2+h)-f(2) h (a) Find the expression (b) Use your result from…

A: The given function is ; f(x)=x2-3x.

Q: Q2: Solve the following integrals: (1) 7x²+14x+15 (x²+3)(x+7) dx ; (2) sinx+cos x sin³ x cos³ x

A: Since multiple questions are asked, I am answering first question

Q: F = (x²yz, - xy²z, -2xyz²)

A:

Q: Use the method of reduction of order to find a second solution of the differential equation t²y"…

A:

Q: The amount of a radioactive substance, y, decays exponentially such that its half-life is 8 days. In…

A: topic- differential equations