For the following equation, find x. 2 log bx= log9+ log125-log 15 (Type an integer or a simplified fraction.) X =

Q: The function f is defined as follows. X if x #0 f(x) = 2 if x = 0 (a) Find the domain of the…

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Q: Q8. Find all the first and second order partial derivatives of the function f(x, y) = x sin y + y…

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Q: Find the limit, if it exists. (If an answer does not exist, 3 - xy ху lim (x, y) → (2, 1) x² +2 +9y²

A: We will apply the limits.

Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

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Q: 00 15. The sum of the series : Ek=0 a. m (-1) ()2k+1 (2k)! b. 픔 C. -2 T 3 d. 5 T

A: First I have arranged the series and then using power series representation of cos(x) evaluate the…

Q: 2. In π 2 π ln - 4 e* cos(ex) dx

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Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 2ky+k² = 0 and 2x…

A: The given graphs are x2-2kx-2ky+k2=0.....(1), 2x-2y+k=0.....(2). We have to find the area of the…

Q: Sketch a graph of a function f that satisfies all of the given conditions. lim f(x) = -co, lim f(x)…

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Q: Sketch the graph indicating maxima, minima, asy 4-x³ function: f(x) = x3

A: Given: f(x)=4-x3x3

Q: Find the final amount of money in an account if $3,900is deposited at 7.5% interest compounded…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate afa²-x² dx. a. - Q² b. a² O a b e C. d. a³ e. none of the choice

A: Solution is here

Q: For the function f whose graph is given, state the following. (If the limit is infinite, enter 'co'…

A: Given graph:-

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

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Q: 3. A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by…

A: To find the dimensions of the box.

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Solution

Q: Suppose that f and g are functions that are differentiable at x = 1 and that f(1) = 4, f'(1) = -3,…

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Q: 3. Find the length of arc of the curve y = ln(secx) from x = 0 to x = 4

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Q: S 5 sec²(0) tan²(0) 25 - tan²(0) de

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Q: Question 11 Evaluate the limit lim (ln(3x² + 2) - In(x² + 1)) O ln 3 O In 3 01 00 O ∞

A: To evaluate the following limit.limx→∞ln3x2+2-lnx2+1

Q: Identify the surface defined by the following equation. 2x-y²-z² =0

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Q: If y = ecos(x) then y" + sin(x) y' +cos(x) =

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Q: Graph the parabola y=(x^2-100x)/50

A: Graph the parabola y=(x^2-100x)/50

Q: A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of…

A: It is givne that, A car-sharing service offers a membership plan with a $50 per month fee that…

Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: Find the derivative of the function. y=-5e-4x+1 dx 11

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Q: 3. (3y² + xcos xy) + (3x² + ycos xy) = 0 dx a) y + sen xy + x³ = 0 y² + sen xy + x³ = 0 y² + sen y +…

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Q: The number of bacteria in a culture is given by the function n(t) = 940e 0.1t where t is measured in…

A: To find out the relative growth rate.

Q: Question For the function f(x): = Provide your answer below: a. lim f(x) = x → 5 b. lim f(x) = x →…

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Q: By using the differential operator D and it's inverse, solve this equation: y"+3y'-4y=sin(3x) sin…

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Q: Y=t-2√√√x + X Find domin and ringe

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Q: Use the midpoint sum formula to calculate the area under the curve f(x) = x³ from x=0 to x-12 using…

A: Given: f(x)=x3 from x=0 to x=12 using 4 rectangles with width h=3

Q: Find the average value of the function f(x)=x²-9 on [0,3]. The average value of the function…

A: The given function is  f(x)=x2-9

Q: Consider the following polynomial function. f(x)=x (x-1)(x + 1)² Answer the questions regarding the…

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Q: Compute each of the following limits. (b) Let f(x) = 4x + 5. Find lim f(a+h)-f(a) h→0 h

A: 4 is the answer.

Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 312 12 3 C. b. 2²/2 0.33 lorod by…

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Q: te the function for the given values of 3) [-2x+5, for x < -1 f(x)=x²-4, for-1 ≤x<3 for x ≥3 12, (a)…

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Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: Solve the equation for x: log42 x + log42(x − 1) = 1. If a solution doesnt work, enter DNE. Make…

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Q: Use any method to determine whether the series converges or diverges. (k!) 8 (8k)! k=0 O The series…

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Q: 4. If x - 2y = -1 and x + 2y = 3, then a +y is equal to O 1 O ♡

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Q: (Simplify your answer.)

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Q: Q3. Find the cross product of the vectors and .

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Q: Consider the function below. (If an answer does not exist, enter DNE.) C(x) = x¹/5(x + 6) (a) Find…

A: Let's solve.

Q: If f(x) has an inverse function f-¹(z), could either the graph of for the graph of f be symmetric…

A: Given that fx has an inverse function f-1x. We have to check and explain if either the graph of f or…

Q: ind the indicated function and write its domain 8) p(x) = x² + 6x, q(x)=√√1-x, (x) = ?

A: We have to determine domain

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A: Topic = Derivative

Q: The value of the following limit Lim (cos(x) cot(x) is: AL

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Q: . Evaluate cos 3x sin² 3x dx

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