Find the principal unit normal vector to the curve at the specified value of the parameter. (Give your answers correct to 3 decimal places.) r(t) = ti + (8/t)j, t = 4

Q: Evaluate the integral S√² - 4 + 3s ds = S√-4 - 4 + 3s ds.

A: The objective of the question is evaluate the indefinite integral.

Q: 2. Imagine you were given three different tables of values; a linear, quadratic and exponential one.…

A: Imagine you were given three different tables of values; a linear, quadratic and exponential one. To…

Q: Given cost and price​ (demand) functions C(q)=110q+45,000 and p(q)=−2.1q+860​, what is the maximum…

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Q: The area enclosed by one petal of the polar curve r = cos20 is False True O

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Q: nd the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -x³-7x…

A: Use derivative for finding the increasing and decreasing interval.

Q: Solve the given differential equation by separation of variables. exy dy =e-¯V + e-8x - y dx

A: In this question, we want to solve the given differetial equation using separation of Variables.

Q: find the directional derivative of the function in the direction of the vector v

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Q: f(x, y) 4xy; R is the region bounded by the graphs of y = V1 - = x² and y = 0 for 0 ≤ x ≤ 1

A: Solution is given below:

Q: Find a plane through the points (-7,7,-3), (1,-7,-8), (-2,-1,3)

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Q: 0 Sec Tanzdx subjektive (All see Tanxdx S see

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Q: Use the washer method to determine the volume of the solid formed when the region bounded by y = x…

A: Solution given below

Q: If f(x, y) = cos(2x) - x² e5y + 3y², then fxy = -10x e5y True False O

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Q: Choose x such that the following two vectors are parallel u= and v= O -7 O None of the others 07 O…

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Q: Gravel is being unloaded from a truck and falls into a pile shaped like a cone at a rate of 10…

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Q: Given the conic section = Intercept(s): Focus (foci): 1 5+7 sin(0)' find the x and y intercept(s)…

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Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: Evaluate [cos² ydy a. 1/2y + 1/4sin2y + c c. 1/2y + 1/2sin2y + c b. 1/4y + 1/2sin2y + c d. 1/9y +…

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Q: Given the geometric sequence: 24, Find an explicit formula for an, where the first term is a₁ = 24.…

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Q: Find the average value OF: f(x) = 2 sinx + 3 cosx on the interval [0, π] Average value= OF C is the

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Q: S In (x) √xln(x)-x =dx

A: Please see the below picture for detailed solution.

Q: Suppose directional derivatives of the scalar function f(P), at a point P = (x, y), in the…

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Q: + 3x + 2)dx 2.√ √x(x² – 3x

A: The integral is  ∫xx2-3x+2dx

Q: Evaluate the following integrals by first reversing the order of integration. 8 2 S³ S²₂ √² + 1 de…

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Q: Evaluate the following integral using inversion of order: of 2³ dydx Remember to show complete…

A: Given integral ∫01∫x3x2 x5  dy dx

Q: Q2\ Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: 1- true Matrix having 1 row is called row matrix.  2- true.  Gauss Jordan method is used to find…

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: Using Integrating Factor by Inspection, solve: (y − xy²) dx + (x + x²y²) dy = 0

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Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

A: Disclamier: Since you have posted a question with multiple sub-parts, we will solve first three sub…

Q: If √√√1-y² the resulting of integral is x² + y² dxdy is changed to equivalent integral in polar…

A: if we change Cartesian coordinate to polar coordinates then  we write - X = rcos(theta) Y =…

Q: X Evaluate the integral [sincos dx. X sin cosdx= 5 C

A: The objective of the question is evaluate the indefinite integral.

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 The limit of the ratio test…

A: you have entered value of an instead of f(n) .

Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

Q: dr/dt = -2tr, r(0) = ro

A: Solving the differential equation

Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

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Q: Please solve the bottom question.

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Q: 0.10.9062cos (1-√√3x) d x 6 DL 11 2

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Q: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 <x<3

A: fins the voulme of the solid with cross-sectinal area A(x).   A(x) = x+2. -1 &lt;x&lt;3

Q: Triple Integical пун Evaluate SS * cos(y) dz dx dy.

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: The function f(x) f(x) = Σ car". 72=0 C1 = C2 = = Find the first few coefficients in the power…

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Q: Temperature during an illness. The temperature of a person during an intestinal illness is given by…

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Q: following function L sin2t cos3t

A: let  f(t)= sin2t cos3twe use the formula 2 sin  A   cos B = sin(A+B)+sin(A-B)

Q: 1. Determine the domain of the real function f. 2+x a. f(x) = log b. f(x) = √2+x-x² c. f(x) = cos d.…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Use the derivative f'(x) = (x - 1)(x + 2)(x+4) to determine the local maxima and minima off and the…

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Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to k O a is any vector perpendicular to ix…

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Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: You are in the process of solving x³y² - 7x³y = cos (7x), x > 0 which of the following would be…

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: 100 The value of p for the series Ση=1 2n | n! by using ratio test is -1 8 N 2 0 1 O

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Q: cost to buy tickets online for the dance show Riverdance is $0 per Write a function that represents…

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Q: 20) If 8 is an angle with terminal side in 4th quadrant such thatv tan 9 = a) O b) O c) O d) O then…

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