Find the derivative using logarithmic differentiation. r³(2x - 1) (5x + 1)7(x + 1) 14. y=

Q: Use partial fractions to find the inverse Laplace transforms of the following functions 11-3s 1.…

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Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…

A: This question is related to derivative, we will solve it using given information.

Q: 1. Evaluate the definite integral *2³²√³+1 dr. (a) ² (27+2√2) (b) (27-2√2) (c)(2√2-27) (d)/(2√2+27)

A: I have stated the used formula in the solution.

Q: ( (tano-1)² do

A: Given ∫[tanθ-1]2 dθTo evaluate the integral:

Q: Using the Limit Laws, find limt→0 (sqrt(t^(2)+9)-3)/(t^(2)). Do not use L'Hospital's Rule. plesase…

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Q: Asymptotic to x= 0, x=5 and y=0

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Q: Using the Inverse Function Theorem, what is (-1) (8) given that (x) = √6x-2? Note that (11) = 8. (Do…

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Q: Consider the integral 11 [™ (22² + 2x + 1) da (a) Find the Riemann sum for this integral using right…

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Q: Use differentials to estimate the amount of paint needed (in m3) to apply a coat of paint 0.04 cm…

A: Our Aim is to find the amount of paint required to coat thickness of 0.04 cmby considering a…

Q: The right-endpoint approximation of the area under the curve of f(x) = x² over the interval [0, 2]…

A: fx=x2 over the interval 0,2 for n=4

Q: c. Given f(x) = 2x - 3, g(x) = -4x² +9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x)…

A: To find the following values.

Q: Suppose that the total profit function for a company is given by P(x) = 4x³ — 210x² + 3600x - 200,…

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Q: A 30 6 12 ♡ E C D F Find the area of Square ABCD

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Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…

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Q: Find the minimum and maximum values of z=6x+7​y, if​ possible, for the following set of constraints.…

A: The given constraints are: x+y≤9-x+y≤32x-y≤12

Q: ) What function f(t) has Laplace transform: s² +1 f(s) = 5(s² + s−12) 2

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Q: 13. Integral √x dx

A: Here we have to find the integral.

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Q: Solve the initial-value problem. x(t) = x" + 3x' + 2x = 1 + t², x(0) = 0, x'(0) = 2

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Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

A: solve

Q: Sketch left-endpoint and right-endpoint approximations for f(x) = on [1,2]; Approximate the area…

A: fx=1x on 1,2, n=4

Q: Determine the number of points of intersection for the planes: T₁: 3x-6y + 12z - 6 = 0 and 7₂: 2x -…

A: We want to find number of points of intersection of two planes.

Q: Find the average value of the function f(x) = over the interval [0, 6] and find c such that f (c)…

A: We have to solve average value

Q: Use the method of reduction of order to find a second solution of the differential equation ty" +…

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Q: Given the functions: f(x)=x²³-8x g(x) = √2x h(x) = 6x+7 Evaluate the function h (f(x)) for x = 3.…

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Q: 0. The equation 7(x) = 40cos(x-10)] + 160 describes how an element in a fur cyclically, where x is…

A: topic:- function

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 4…

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Q: for (#)(x). 100. Find the restrictions in the domain, if any, for then select all answers that are…

A: It is given that: h(x)=x2-5x-24,j(x)=5x+15

Q: If f f(x) dx = 3 and I. III. [f(x)g (x)] dx = −6 III only I, II and III I only O II only g(x)dx =…

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Q: this is incorrect please resvole

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Q: Bonus ( Show that given R: x € [0,1] Ay € [0,2] [[3x²yexydy dx = 6

A: See this solution in below

Q: 1. Find each of the following derivatives. d a. dx (4 sinx) b. [ln (2x4 - 3x)]

A: We have to find derivative of given function.

Q: 4. Given cos 2x = cos²x - sin² x. (Optional) (a) Verify sin 2x = 2 sin x cosx. cos 2x, (b) Express…

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Q: Question 3 For the function below, how many regions are at least needed to facilitate the tracing of…

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Q: If we know that g is a derivable function such that g'(81) = 6 and f is a function given by f(x) =…

A: Given :f(x)=gx4g'(81)=6

Q: car traveling at 45 ft/sec decelerates at a constant 7 feet per second per second. How many feet…

A: Given initial velocity (u)=45 ft/secFinal velocity, as brakes are applied (V)=0Acceleration=-7…

Q: If it exists, find Answer: x³ - ze²y lim (x,y,z) (-1,0,4) 6x + 2y3z' Write DNE, if the limit does…

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Q: where a = and b = 16 10% f(x) dx = f* f(x) 10 24 [*1 (2) dz - f(2) f(x) dx

A: To find the value of a and b.

Q: the complex number 6√3+6i in polar form* 12(cos(n/6)+isin(n/6) 12(cos(n/4)+isin(n/4)…

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Q: S Use The Fundamental Theorem of Calculus, Part 2 to evaluate X -4 dx.

A: A detailed solution is given below.

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Q: = A region bounded by f(x) 9 8 Find the volume of the solid formed by revolving the region about the…

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Q: Solve for m ffm m(8xy + x?)dxdy =3, 0<y<x<1

A: we can solve as follows

Q: 5. What is dummy variable? Explain the mean value theorem for integrals. Evaluate the following…

A: Concept: Integration: The calculation of an integral is referred to as integration. . Integrals are…

Q: (b) Using implicit differentiation Find the derivative of 1. y³ + 3x²y = 13 with respect to x and…

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Q: Solve x + 13| ≤3 the following inequality and graph the solution set. Select the correct choice…

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Q: Suppose that Mark is flying a kite with the string tied to his glasses (so that it’s easy to measure…

A: To find how far above the ground the kite is flying.

Q: 1 1² +49 When solving O a) I = [sen (0) de Ob) I=tan(0)de O c) I = cos(0)de I= O d) I-sec(0)de I=…

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