Evaluate the expression, reduce to simplest form. (a) 2log2 3 Your answer is (b) 10log 6 Your answer is (c) eln6 Your answer is

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Q: The graph of f is the solid black curve. Which blue dotted graph represents the graph of f(t)dt ?

A: This is a problem related to integration. Please follow the procedure given below.

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Q: a lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline…

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Q: 5. Find the linear appoximation for the funciton f(x, y) = (ro, Yo) = (3,0). x-y xy+1 at the point

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Q: 7. For the following vector value function, (a) sketch the graph, and find the absolute 32 (0-1)…

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Q: Use the product rule to find the derivative of the following. (Hint: Write the quantit as a…

A: By using the product rule to find the derivative of the following function. kt=t2-92

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Q: For solving the integral cot(10x)csc^4(10x) I know we can solve this by making u = csc(10x) and the…

A: To find:- ∫cot10xcsc410xdx

Q: प. #5 X Ay rotate X=AX X70 about x-axis (Find veterane)

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Q: A record company has determined that the cost of producing CDs is $0.06 per CD plus $597.60 per…

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Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

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

Q: The integrating factor to the linear first order DE ty' + 2y=2sint O 0 1² Ot O e 2t O e¹

A: ty'+2y=2sintstandrad form of linear first order DE is dydx+p(x)y=q(x)integrating factor=e∫p(x)dx

Q: 4. If w = x²y + y²z + xz², show that дw Әх дw дw дz = (x + y + z)2.

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Q: The function s(t) describes the position of a particle moving along a coordinate line, where & is in…

A: The given data is: st=t4-162t2+6561, t>0 a) Find the velocity and acceleration function.

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A: The given function fx=x sin x and its derivative is f'x=sin x+x cosx. We have to show that at least…

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A: The given differential equation is: y'+2ty=2te-2t

Q: Suppose that the total profit in hundreds of dollars from selling x items is given by P(x)=2x² - 4x…

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Q: Find the derivative of the function. J(0) = tan² (ne)

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Q: Consider the following function on the region described by the inequality. f(x, y) = 2x² + 3y² - 4x…

A: Given data: f(x, y) = 2x² + 3y² - 4x-8, g(x, y) = x² + y² ≤ 16

Q: lim [f(x) - g(x)] x→2 lim_[f(x) - g(x)]= [ X→2 (Simplify your answer.)

A: given limits are :-limx→2f(x) = 22 and      limx→2g(x)=8then we have to evaluate the following limit…

Q: The half-life of a drug in the bloodstream is 4 hours. What fraction of the original drug dose…

A: given half life of a drug in bloodstream is 4 hours

Q: BOTH AXES FOR f(x) USE THE USUAL "1-2-3" SCALES y = f(x) Vertical intercept: Horizontal…

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Q: Consider curve given in polar coordinates by Find the derivative r = 8 cos 0,0 ≤ 0 ≤ π/2, dr = -8…

A: We need to find out the area of the surface of revolution formed by the given function.

Q: Question 6 Solve the DE. If (x) is the solution to the DE, find (-2) y'=xe}-x’;y(0) =0 0.675 -0.675…

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Q: 44. S 1 (x²+4)3/2 dx

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Q: Find the lines that are tangent and normal to the curve at the given point. y = 8 sin (лx - y),…

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Q: Find the integral: f(t+1) et dt

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Q: Find the length of the arc formed by x^2 = 9 y^3 from point A to point B, where A = (0,0) and B =…

A: Please see the below picture for detailed solution.

Q: (a) f'(-3) (b) f'(-2) (c) f'(-1) (d) f'(0) (e) f'(1) (f) f'(2) (g) f'(3) y = f(x) 1 0 X

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Q: DETAILS Determine which of the limits below exist as a number, , or-, and which do not exist. If the…

A: Topic=Limit As per guidelines, At a time only one question with three sub-parts can be solved.…

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent…

A: Please see the below picture for detailed solution.

Q: Find an equation of the tangent line to the curve at the given point. 1 + sin(x) cos(x) (π, -1)

A: y=1+sinxcosxpoint is (π,-1)equation of tangent line is y=mx+cwhere m is slope=dydx

Q: Find the limit. lim x+0 sin² (7x)

A: Given query is to find Indicated limit.

Q: Write the Taylor series for f(x) = sin(x) at x = Find the first five coefficients. Co= C1 = C₂= C3=…

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A: Given query is to find the arc measure,minor or semicircle.

Q: Find the lines that are tangent and normal to the curve at the given point. x²y² = 16, (-1,-4) The…

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Q: Determine the formula for the function represented by the integral. |t| dt (Express numbers in exact…

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Q: The line tangent to the curve x²y² = 16 at (-1,-4) is y=.

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Q: (a) Find the direction for which the directional derivative of the function f(x, y, z) = √ at P =…

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Q: 2. The region bounded by y = 3x - x² and y = x is revolved about the y-axis. Find the volume of the…

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