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Q: Write expression log z14 as a sum or difference of logarithms with no exponents. Simplify your…

A: Given query is to expand the logarithmic expression.

Q: x3 Evaluate J (3-2x) using substitution

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Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal places. 8+ 7ln…

A: op

Q: (3) In 2014, the United States Postal Service charged $0.48 to mail a first-class letter weighing up…

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Q: 15. Evaluate each limit below. Write oo if the limit is infinite. x2+x-6 (a) lim x-2 x2-4

A: Here we have to find the limit of the function.

Q: 1. Given p(x) = 2x - 7x + 2x + 3. (a) Verify that (x- 3) is a factor of P(x) using synthetic…

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Q: 8. The average value of the function f over the closed interval [0, 3] is 4 and f (x) > 0 for all x…

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Q: The solutions of the equation (x + 5) (2æ – 1) (x – 3) = 0 are

A: This question is based on equating factors to zero.

Q: šin(3x) Find the area bounded by the curve y = ,0 <x<T/3 and the line y = 0 as shown 2+cos(3x) in…

A: This question can be solved using the concept of area under curve.

Q: y(x) = (Simplify your answer. Do not factor.)

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Q: 1. x'-11/x +2 dx

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Q: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

A:

Q: Q 25-The Laplace transform of function f(t) = e¯'sinh4t is a) 2/(s²+2s) b) 2/(s²+2s+15) Q?-The…

A: To Find : laplace transform of f(t)=e-tsinh(4t)

Q: The radius of a circle is to be measured and its area computed. The error in the measurement of the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: V1 + x 8. 1- x

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Q: For the given cost function C(x) 22500 + 600x + x², First, find the average cost function. Use it to…

A: For the given cost function Cx=22500+600x+x2, First, to find the average cost function. Then by…

Q: Test the series below for convergence using the Root Tes 2n 7n +4 TL The limit of the root test…

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Q: Graph the function using translations. f(x) 3*+1 4

A: Given, y= 3x+1 Let y=0, 3x+1=0 Therefore, x-intercept doesn't exist.   Let x=0, y= 31+0=31 y= 3…

Q: Estimate the area under the graph of f(x) 1 over the interval [3, 7] using five I+ 2 approximating…

A: The given function is f(x)=1x+2 over the interval [3, 7] We have to use five approximating…

Q: A theater has 27 rows of seats. The first row has 18 seats, the second row has 20 seats, the third…

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Q: Find and evaluate the sum. 4 k Σ k+4 k = 1 4 k Σ k+4 k = 1

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Q: Find the domain of r(t) and the value of r(t,). NOTE: Round your answer to two decimal places when…

A: Domain

Q: dy when x = 1. dx If y = u" and u= 6x +6, find (Simplify your answer.) dx x= 1

A:

Q: Use the Fundamental Theorem of Calculus to cvaluate (1 - da

A: Integrate using fundamental theorem of calculus.

Q: Find the arc length of the graph of r(t) = ev#ti + e¬V%tj+2tk, 0<ts v2In 5 NOTE: Enter the ezact…

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Q: Given f(z, y, z) = V31 – 4y + 6z, find fz(x, y, 2) = fy(x, y, z) = f:(1, y, z) = %3D

A: Given :f(x,y,x)=3x-4y+6z

Q: The graph of which function can be obtained by reflecting a graph of f(x) = cos x over the x-axis…

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Q: Differentiate 1)2xsin-13x x+1 2)y = In; Vx-2

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x3 + y = 6xy…

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Q: 11. The position of a particle as it moves horizontally is described by the given equation S=sint -…

A: Here, the displacement function is given by: s=sin t-cos t, 0≤t≤2π Now, to find the maximum and…

Q: A farmer finds that if she plants 50 trees per acre, each tree will yield 55 bushels of fruit. She…

A: It is given that, If a farmer plants 50 trees per acre, each tree will yield 55 bushels of fruits.…

Q: Find the limit. Use T Hospital s cos(x) lim - sin(x) + 1- x- (1/2) os (27) CoS sin(2n) 1- 0.

A: Given query is to find the limit of the expression.

Q: 5. Consider the power series E (x-1)" n=1 n3m 6.1. What is its center? 6.2. Find its interval of…

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Q: The perimeter of an isosceles triangle is 38 m. Find the length of the sides of the triangle of…

A: Here we have the perimeter of the isosceles triangle = 38 m,  Let the equal sides of triangle = x…

Q: Suppose that F(x) = f(t) dt, where V5 + uo du. f(t) = Find F" (2). F" (2) =

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Q: A point P(x, y) moves along the graph of the equation y = x+ x2 + 1. The x-values are changing at…

A: To find , how fast are the y- value changing at the point Q(1,3).

Q: .3 S cos³xVsinx dx

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Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

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Q: If f(x) = (3,-1) what are the coordinates of f(x) : +1?

A: To find the coordinates of the new formed function.

Q: The line segment from (1, −1, 3) to (0, −3, 1) forms a diameter of the sphere S1. Find the…

A: We need to find equation of sphere.   NOTE - As per Bartleby's guidelines we can solve only one…

Q: Verify if the following vector fields are conservative: 2y 21 a) A1 = (1+æ²+y² > I+x²+y² b) Ã, =…

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Q: 1. The position of a particle is given by the function s(t) = t* – 32t where t is measured in…

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Q: Sketch the region from the first quadrant, bounded by y = 2x2, x = 0, and x- 2y + 3 = 0, and find…

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Q: Q2\Find the point at which the tangent to the curve y = v4x² + 1 – 2 a)find the equation to the…

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Q: 7. g(x) = In (3V4 + x² ) %3D

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Q: Ssinx j 4. sin x cos x dx 3.

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Q: 12. Find all relative extrema, and sketch the graph, for the function: f(x) = 3x* – 4x -12x² %3D…

A: Given

Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: G(x) = tant dt Find G(1) = Find G' () =

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Q: x+1 2)y = ln Vx-2

A: