Σ e is true? Let z be a real number. Which of the following statements about the infinite series

Q: dz Use the Chain Rule to find : z = = cos(x + 4y),x = 5t*, y = - %3D dt

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Q: Find the values of a and b that make f continuous everywhere. x2 – 4 - 4 if x < 2 X - 2 f(x) = ax2 -...

A: Here, we need to find the values of a and b. We are given that f is continuous everywhere.  So,     ...

Q: Calculate the work (in joules) required to pump all liquid out of a full tank. b Assume a = 4 m, b =...

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Q: The temperature of a metal ingot is 60°C above room temperature right now. Twenty minutes ago, 75°C ...

A: This question is based on Newton's law of cooling.

Q: The half-life of caffeine is 5.5 hours. You drink a double espresso, which contains 128 mg of caffei...

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Q: 2. 4x +2x lim X00 4x -x+1

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Q: Let f(x) = 3 6e". Enter an antiderivative of f(x)

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Q: Which of the following graphs represents y = 3sin(2x)? 32 /2 2/2 3/2 2x

A: NOTE: Refresh your page if you can't see any equations. . compare this function with  so here we ha...

Q: i am so confused on the slope and perpandicular and paralell lines like its so hard and i cant get a...

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Q: Each of the following definite integrals are improper. Determine which converge and which diverge. F...

A: We have to evaluate the improper integrals ∫0∞ 11+x2 dx ∫02 x4-x2 dx ∫1∞ ln(x)x dx

Q: A particle moves according to a law of motion s = f(t) = t3 – 12t2 + 36t – 7, where tis measured in ...

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Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

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Q: For the piecewise-defined function f whose graph is shown, find the following. (If an answer does no...

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: topic - application of derivatives

Q: Use the method for solving homogeneous equations to solve the following differential equation. 80 se...

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

Q: dy sin(2x) Find for y || dx /3 – x2 dy dx II

A: Doing the proboem by obtaining the derivative.

Q: Palt A: IS fex) continuous at x= -2? (xx1 K7-2 fcx)=C2x+7x6-2 Xニー2 Justify answer. part B: EXPlain w...

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Q: #23

A: NOTE: Refresh your page if you can't see any equations. . take derivative here we have x=1, ther...

Q: Use the method of cylindrical shells to find the volume of the solid formed by revolving the region ...

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Q: 1. Create one () piecewise function that has 2 removable discontinuities, 2 infinite discontinuities...

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Q: c) f (x) = -(0.75)4x+2 – 5

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Q: 10 y =x X log. Cax+1) logon Do

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Q: Certain radioactive material decays in such a way that the mass remaining after t years is given by ...

A: All the subparts are solved below

Q: Let lim f(x)= 7 and lim g(x)=21. Use the limit rules to find the following limit. f(x) lim X9 9(x) f...

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Q: Find the average of the function h (x) == 4x² – x + 5 on the interval [-2,3]. %3D Average=

A: Given query is to find the average value of the function for the interval [-2,3]

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: NOTE: Refresh your page if you can't see any equations. . the range of sine function is -1 to 1 s...

Q: . Find the domain of the inverse of the function f(x) = −3√4− x  + 5.

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Q: Do vectors (2,0,1) (-2,0,0) and (2,3,0) lie in the same plane? Explain your reasoning

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Q: Find the angle between A = 10a + 2a and B = - 4a + 0. 5a¸ , using dot product. Answer:

A: As we know that, The expression for the angle between the two vectors is: θ=cos-1A→·B→A→B→ Given: A→...

Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) = -bx...

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: 4) sinh 2xdx

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Q: Calculate the volume of the solid of revolution (or show why it does not exist) obtained by rotating...

A: We have to calculate volume of solid of revolution obtaining by the rotating the function. 

Q: If a non-winning choice is removed from the ballot, this criterion states that the winner of the ele...

A: Option b)

Q: Help

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Q: The orthogonal trajectory for x^ 2 =ce^ x^ 2 +y^ 2 is

A: Orthogonal trajectory

Q: dx 10. J V2x2-1

A: See the details solution in below

Q: The answer is: Find a value of a in [0°,90°] that satisfies the following condition: sec a = 1.40488...

A: Given query is to find the value of alpha for the trigonometric function.

Q: Find the intervals where f(x) = x* + 2x3 – 3x2 – 4x + 4 increases

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Q: Calculate the work W in megajoules (1 MJ = 1 ×x 10° J) required to pump all of the liquid out of a h...

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Q: 29. 1 + dx + /2r

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Q: In two or more complete sentences describe how to determine if the function f(x)=sin⁡(x) is odd usin...

A: How to determine the function f(x)=sinx is odd.

Q: Determine the period of the given function. y = -3 sin 8x + 2 ... O A. 8 O B. I O C. 3 O D. - 4

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Q: 4. Determine the constant m such that f(x) = {x2 + m, if x ≥ 3                                      ...

A: Given that: f(x)=x2+m, if x≥32x-m, if x&lt;3

Q: 7. Consider the indefinite integral J Then the integrand has partial fractions decomposition 6x+6x²+...

A: Given problem:-

Q: In two or more complete sentences, explain how to find the time it takes for a rocket following the ...

A: We will find the time taken by the rocket to hits the ground as shown below

Q: 4. Sketch a graph with the following sets of properties. 10 8 f(5) = 3 f(-1) = -3 4 lim f(x) = 2 2 x...

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Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if n...

A: We have to find a2 . 

Q: sin(ln a) dx

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Q: When multiplying matrices to produce a new vector matrix, what must the dimensions of the matrix to ...

A: Suppose the origin matrix be A to multiply it with B to get the new vector-matrix C. That is BA=C