If F(r) = 5 sint dt, then F'(r) =

Q: If z = ln √(u2 + v2 + w2), find ∂z/∂u, ∂z/∂v, and ∂z/∂w. Also, please explain the method used to…

A: Topic = Derivative

Q: Consider the following IVP: y'' -3y' -10y = 1, y(0) = -1, y'(0) = 2

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Q: integrate the following:  Ue the U-substitution. ∫3/(√4x2-12x+9) dx

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Q: Use double integrals to find the mass of the lamina ( thin Plate) which occupies the planar region…

A: To find:  The mass of the lamina which occupies the planar region bounded by the straight line…

Q: Use the quotient rule to find the derivative of 8e" + 4 - 9x7 + 9x° Use e^x for e". You do not need…

A: We will find the derivative.

Q: 7 +:+÷+ 7 7 c) 10 + +

A: here series is 7/2 +7/4+7/6+7/8+7/10....... now common out 7/2 from series 7/2(1/1…

Q: To save for graduate school, a student invests $1780 semiannually in an ordinary annuity with 7%…

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Q: let w=ln(x2+y), x= 2t, y=4-t. compute dw/dt a) using the Chain rule, draw corresponding tree diagram…

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Q: 42. у" — у %3D 0, У(0) 3D 1, у' (1) %3 0

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Q: Which integrals are improper? Explain your reasoning

A: this question can be solved by applying the two conditions for an integral to be improper.

Q: Question 1: 2nd Order ODE, Homogenous. Find the general solution, and the values of the given…

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Q: Which of the following gives the formula for the inverse of the function x + 3 f : R \ {-7/2} → R \…

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

Q: Find the minimum value of f(x,y)=66x2+9y2 subject to the constraint x2+y2-784

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Q: Evaluate the following limit: 4x2 – 4y? tan(4x4 + 4y4) 8x4 + 8y* - lim (2,y)→(0,0) 1 2 4 The limit…

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Q: 2. Let a, b e R and let f be the function Z + Z defined by f(z) - ar + b. For which values of a and…

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: Here, the given region is bounded by y=64-x2.

Q: The function f(x, y) = 2xy + y²x + 11 has %3D two critical points. Select one: O True O False

A: As per our guideline of multiple questions are posted we are supposed to answer the first one.  Here…

Q: If g(2) = 3 and g'(2) = 1 and f(x) = [g(x)]°, find f'(2) %3D

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Q: If f(x) = 4x(sin x + cos a), find f'(x) = COS f'(2) =

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Q: | e" sin® (e") cos" .7 (e²)dx

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Q: For the following.problems, you need to provide a clear and detailed solution. s): Consider the…

A: Explanation of the answer is as follows

Q: Can you find the next term in the following sequences? 1. 7,7,7,7,7,... 2. 3, –3,3,–3,3,.. 3. 1,5,2,…

A: Since this is the multiple subpart question, according to the Bartleby Answering rule, only first…

Q: An individual is given a dose of Q units of a certain drug. the amount that remains in the…

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Q: 4. Find the total differential of z = In(x + y), x= w, y = w². By how much will z change if w…

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Q: Find the range of the function f : R R,f(x) = x² – 4x + 3. Select one: a. [-1, c0) b. (-∞, 1] U [3,…

A: The objective is to find the range of the function.

Q: Show that, dF(x) (i) if F is absolutely continuous, then exists almost everywhere. dx (ii) a…

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Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v = (0, 12) a =

A: We can find the value of a and b as below.

Q: |*| +1, {0, x = 0 1x-1, x >0

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Q: Given the points A(-1, 2, 0), B(1, 0, 3) and C(1, 0, 2), find AB • AC x BC.

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Q: A hot air balloon sing vertically is tracked by an observer located 3 miles from the lift-off point.…

A: let the height at that moment is h miles.

Q: 3. S sin®2y · /cos2y d|

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Q: 2. The set of all rational numbers in the interval (0, 1).

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Q: 1. Find a polar equation for the conic that has its focus at the pole and satisfies the stated…

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Q: t) A baseball diamond is a square with sides of length 90 ft. A batter hits the ball and runs toward…

A: solution

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

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Q: q=D(x)=1080-18x

A: answer is in step 2

Q: 3+ dx

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Q: Consider the following IVP: Find the general solution. 1. y"-3y'+2y = e3t ; y(0) = 0, y'(0) = 0

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: dy Use implicit differentiation to determine given the equation xy + e = sin(y). dx dy dx ||

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Q: tan3 -dx sec x

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Q: Diagonalize the following matrix. One eigenvalue is i = 4 and one eigenvector is (-6,3.2). - 14 - 36…

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Q: 43, 44, and 45 Evaluate the integral by changing to spherical coordinates. 43. xy dz dy dr

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Q: s Problem ) The altitude (ie height) of a triangle is increasing at a rate of 2.5 cm/minute while…

A: The altitude (.e. height) of a triangle is increasing at a rate of 2.5 cm/minute while the area of…

Q: 3) dx 0. a) True b) False

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Given the following parametric equations, convert to rectangular equations: x = t + 5 and y = t² –…

A: Topic = Algebra

Q: Content: Derivatives of Exponential and Logarithmic Function Summative Number: 3Q3 Part 1.…

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Q: 5. (x²y + sin æ) dy, Cis the arc of the parabola y = r² from (0, 0) to (7, n²)

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Q: 2. Let g (x, y) = 2x² – y² . Compute 9(1, 2), g (2, 1), g (1, 1), g (–1, 1) and g (2, –1).

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Q: x + 1 24. x*(x - 2)

A: Question no. 24,Given,            x+1x2x-2To find : Find the partial fraction decomposition of given…

Q: x sec (3x) tan (3x)dx

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