If sint = 4/5 and t is in the first quadrant, find cos(2 t) -7/25 -9/25 7/25 24/25 None of these

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. V64–x² ~80–a²-y² x dz dy dx -48+x²+y²

A: We know that integration of Xn is xn+1/n+1.     Here i attached the solution of this question.

Q: 42. If g(0) = 0 sin 0, find g"(π/6).

A: Solve the given

Q: Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize z = 3x…

A: Here, the feasible region by the curves x+y≤1034x+y≤160y≥23x,y≥0 is:

Q: 44. Find f(x) if f(x) = 1/(2 - x).

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Q: Which of the following are vertical asymptotes of the function f(x) = 5x(x-2)(x+4)² (x²-4) (x²-16)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: the curve x=l-5¢, y=4€²-1 (0=ts) lengin find the arcC kngth of the curve x=1-. (ux calculator to…

A: This question is based on length of a parametric curve calculated using definite integral.

Q: Q2// Solve the following differential equation: e²y dx + 2(xe²y – y)dy = 0

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Q: determine which statement is true   x + 2y^2 + 20 = 0 (A) not a function (B) function; domain: R…

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Q: Use L'Hôpital's rule to evaluate the following limit sin(x) lim

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Q: 10. If 3(a, 3, 2)-2(3, b, b) = (-3, 1, -2), determine a and b. Describe the set spanned by the…

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Q: Figure A is transformed by the dilation D:(x, y) = (8x, 8y) to make figure B. Figure A is…

A: We can answer the question as below.

Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

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

Q: Find dy/dx: solution in handwritten 1. y = , Vu du

A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

Q: is the graph a function?

A: To determine whether the given graph represents a function.

Q: { 2+y? if(x, y) # (0,0) if(x, y) = (0,0) xy 1. Given that f(x,y) Is f(x, y) continuous at (0,0)?…

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Q: a²z Determine if z = tan- + r2+02° r

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Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: 2. Describe in word all transformations involved. y = -3sin(180° – 4x) + 5

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Q: determine which statement is true (A) Not a function (B) Function; domain: R (C) Function;…

A: Graph÷

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Q: A radar, using the polar coordinate system, detects that an airplane is currently located at the…

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Q: 15 17 23 28 ? 40 28 8 3 12 13 2.

A: Consider

Q: 1. JC y = f(x) is transformed to g(x) = 3 f (2x – 6) + 9. The domain and the range of each function…

A: Solving

Q: The MAIN use of Newton's Method is to: OFind the roots/zeros of a function O Find the derivative of…

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Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj

Q: The volume V of a right circular cylinder is given by the formula V= Tr h, where r is the radius and…

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Q: Evaluate y' of the given functions y = /3x + 4)(x + 3)

A: We can find the derivative as below.

Q: n k=1 Note: Your answer should be in terms of n.

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Q: Find the nth derivative of y = In(16x2 – 9).

A: Given y=ln(16x2-9)

Q: Find each limit, if it exists. (a) lim + 4 x-00 x - 3 X4 + 4 (b) lim X 00 x -3 + 4 (c) lim X- 00 x3…

A: All the limits are in indeterminate form, just taking common  some power of x from numerator and…

Q: Use the polygon law of addition to draw the resultant vector ( å + b) + ở for the following yectors.

A: The given vectors are added

Q: Solve the system. Give your answer as (a, y, z) 3z - y + z = 7 -2x + 2y + 3z = – 18 3z-6y + 6z = 0…

A: Use the method of elimination and find the value of x, y and z.

Q: 8. If F(x)= dt, then F'(x)=

A: Using Leibnitz rule for integral.

Q: The non-homogenous solution of the following equation by using variation of parameter method y" +y =…

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Q: Newton's Method will fail to approximate the solution to f(r) O with initial guess To when: O f(x)…

A: We have to choose correct option.

Q: (a) Consider the system of equations 11x3 – 3x1 7x — бх2 — 5хз x2 +2x3 – 2x1 = yi = y2 - Уз Rewrite…

A: To write the system of equations in matrix form

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: Q1// Find the Area bounded by: x = -y2 and x = y-2

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Q: Identify and sketch by hand the graph of the quadric surface 25r2 – 25y? – 9z2 – 150r + 200 = 0. You…

A: An equation is given                              25x2-25y2-9z2-150x+200=0We have to identigy and…

Q: 22. Differentiate. y = asinh x

A: Given,  y=xsinh x

Q: (x+1) dx 13 (メ-

A: We have to solve above question

Q: c) Period d) f(990°)

A: Follow the procedure given below.

Q: 1) Evaluate lim 10 VX-5 X-25 x25

A: We can find the limit as below.

Q: State the condition that the two vectors i and y are perpendicular. Find the value(s) of k such that…

A: If two vectors are perpendicular to each other, then their dot product is equal to zero.

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry 2y+1,…

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Q: lim * 0 sin5x'

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Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

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Q: n=5   Use taylor series to approxim. from the interval of: 0-1.5   e^(x^2)dx   Round to 4…

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Q: Area: 7A square centimeters

A: The length is 7/3 cm and breadth is 3 cm or vice-versa for the perimeter to be minimum

Q: 5. A line passes thru (3, 4) and cuts a right triangle with the coordinate axes in the second…

A: