Change from rectangular to spherical coordinates (0, 4sqrt3, 4) and (-3,3,3sqrt6)

Q: Let's consider the marginal cost function C' (x) = 0.02x + 28, where x represents the level of produ...

A: Given c'(x)= -0.02x+28

Q: 2. a| = 3, b|| V6, the angle between a and b is 45° 3. |a| = 6, |b|= 5, the angle between a and b is...

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Q: Find the characteristic equation and fundamental solution set to the di fferentinl equation 4 +4

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = x<In(x) given the ini...

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Q: Evaluate the following Integrals: 1. J 6x2 sin x³ dx J sec 3x tan 3x cos (sec 3x) dx 3. S у csc3y? c...

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

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Jse the given graph of y = f(x) to find the intervals on which "(x) > 0, the intervals on which f'(x...

A: Need to find the intervals on which f'(x)&gt;0, the intervals on which f'(x)&lt;0, and the values of...

Q: dy 3) (x+ 1)(y- 1) dx

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the remain...

Q: 4 CSC* x

A: ∫csc4xco2xdx

Q: Q9 i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that...

A: If  limn→∞ an  exists and is finite we say that thesequence is convergent. If  limn→∞ an  doesn’t ex...

Q: Evaluate: Jx?cos(2x)dx 2x2sin(2x) + 2xcos(2x) + sin(2x) A + C 4 2x2sin(2x) – 2xcos(2x) + sin(2x) В +...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: a) f(x) = V2x – 1 b) h(x) %3D 5x* - Зх2 — 8х

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Q: 3 The name of a straight line that just touches a curve at point A but does not cross the curve at p...

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: dy Differentiate implicitly to find dx 7xy + 1 = 0 dy %3D dx

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Q: Evaluate lim x? (e - 1) using series . X00

A: We know that ex = 1 + x + x22! + x33! + ⋯

Q: The intensity of an earthquake can be measured on the Richter scale according to the following logar...

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Q: Find a polynomial function that has the given zeros. (There are many correct answers.) 0, -8, –9 f(x...

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Q: Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 9.82x + ...

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Q: In one of the warehouses of a construction firm, cement is being released from an elevated storage b...

A: Given: Cement is being released from an elevated storage bin at a rate of 29 feet3/min. i.e. The ce...

Q: Which of the following correctly changes the integral rdrde from polar coordinates to rectangular co...

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Q: Solve the equation 2 cos (x) +1= 0,0 < x < 27. Show all of your work.

A: You have asked multiple questions and not mentioned which question answer you have needed so accordi...

Q: V3x2 + 6 f) lim x+0 5 - 2x g) lim 4x2 -х + 2х x--0 x2 h) lim x-+0 1- cos2 x tan 7x i) lim x-0 sin 3x...

A: ' According to the guidelines issued by the company we are supposed to answer only first three subpa...

Q: Use the given graph of the polynomial function to complete the following. (a) The x-intercepts are (...

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Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs o...

A: This is a problem related to polar integral. Assume the x and y in term of polar and then we will so...

Q: Só x*(2 + x*)dx = 5/8 O 7/8 О 18 O 3/8

A: To evaluate the value of the given definite integral. Note that: ∫xndx=xn+1n+1+C  (C is an integrati...

Q: Evaluate the integral. 2V3 dx 4 V 16 – x2

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Q: 3. Consider the ellipsoid x2 + 4y2 + z? = 18. Find the acute angle that the tangent plane at the poi...

A: Let us consider two surfaces f(x,y,z)=0 and g(x,y,z)=0. Now let n1 and n2 be two normal vectors on t...

Q: A boy is selling lemonade throughout the hot summer. Suppose the number of cups sold is given by the...

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Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer do...

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Q: a1/ Find the missing term in the following table using interpolation: 2 4 y: 3 81 ...

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Q: In each equation in Column A, find . Match the equation with its corresponding Column B. Write the l...

A: Since the student has posted multiple questions and has mentioned to solve multiple questions (quest...

Q: 3. Ranie makes monthly deposits at Php1,500.00 into his savings account that earns interest at 1.5% ...

A: Find your answer below 

Q: In one of the warehouses of a construction firm, cement is being released from an elevated storage b...

A: Given: Cement is being released from an elevated storage bin at a rate of 29 feet3/min. i.e. dVdt=29...

Q: f(x) = √x −ln(x). Restrict the domain of f(x) such that it is one-to-one, and then sketch the funct...

A: Domain of  x-lnx :  Solution:  x&gt;0  Interval Notation: 0, ∞  The inverse of the function is not p...

Q: (22 – a + 1)y/ = 4(1 – 2a)y

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs i...

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Q: A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular windo...

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Q: f(x) * a = 49 (2n – 1)! 2". 72n + 1 + (x – 49)" n = 1 1 ㅇ윽+>m.72n+ 1.n! 1 (x - 49)" n = 0 1 1:3.5. ....

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Q: a) Discuss the continuity of the function (- 2x² + 1 x > 2 f(x) = 1-4x x < 2 at the point x = 2 b) D...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: Given,            The line passes through the point -1,4,-8 and is parallel to v=4i-j.To find : Find...

Q: +-over [1, 2]. Find the exact arc length of y: - 3 4x

A: A detailed solution is given below

Q: models the amount of money in Zachary's savings account over the last 10 years. Is Zachary's account...

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Q: e5x cos e5x dx sin²e5x

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Q: Evaluate the integral i- te*j + VTk] dt 0,

A: ∫03t2i - tet2j + t7/2k dt [t3i/3 - et2j/2 + 2t9/2k/9 ]03 9i - e9j/2 + 2*35/2k (9 , -e9/2 , 235 )

Q: 15–18 Find the angle between the vectors. (First find an exact expression and then approximate to th...

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Q: Let x = 0.42 and y = 1.1. Determine the value of C when you evaluate tan-(2x)dx. ( Use 2 decimal dig...

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Q: (x+5) dy dx+ (x+5) dy dx+ 1-x2 14. 0, L 4-x2 (x+5) dy dx 0.

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Q: Find the radius of convergence, R, of the series. (-1)^x" + 6 n + 3 n= 1 R = Find the interval, I, o...

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 4t, y = 4 –...

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