Write an equation in slope intercept form for the line 5 and a y-intercept of 9. Then. with a slope of graph the line. Equation:

Q: Estimate the indicated derivative by any method. (Round your answer to three decimal places.) dy y =…

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Q: Given the following velocity function of an object moving along a line, find the position function…

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Q: 3 5 dx

A: To calculate the value of the given integral.

Q: 3x-9 dx gi S Vx3-9x-3

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Q: Evaluate the following. Show your complete solution (Handwritten).

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Q: Find the derivative of the function y = xta{z) y =

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Q: 24 How many 3 letter codes can be formed from the word PROJECT if letters cannot be repeated? 7C3 7!…

A: Number of m letter codes from an n letter words without any repetition can be formed in = nPm ways.…

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t-0…

A: This question is based on area of graph.

Q: the answer 10.805 is incorrect.

A: Apologies for the inconvenience.   The answer key asked for the exact answer. So we have to enter it…

Q: For the function f, given below, find the antiderivative F that satisfies F(1)= 0. f(x) = x° - 4x -…

A: The given function f(x)=x5-4x-3-4

Q: The graph of r = -9 cos e has which of the following characteristic: O circle; diameter of 9; center…

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Q: Use the rules for sums of powers of integers to compute the sum. 17

A: Given : the summation of k2, k from 3 to 17.

Q: Find the derivative of the function. h(x) = e2x2 - 7x + 3/x %D h'(x) = ||

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Q: I cannot understand the format of your answer. Please answer in a different form that's easy to…

A: Apologies for the inconvenience. If you do not see the equations in the correct format, please try…

Q: The population of a certain country has grown at a rate proportional to the number of people in the…

A: We have to find the differential equation for the population growth.

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(3,…

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Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

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Q: the equation z=sqrt((x^2+y^2)/2) in spherical coordinates

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Q: 6. S COSX dx sin2x

A: Solving the problem by finding the value of the integral.   NOTE :: As per our Expert guidelines we…

Q: Please explain briefly. Thanku!

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Q: If the integrand is positive the antiderivative is also positive. 9. The antiderivative of a…

A: Solve for each part and determine whether it is true or false.

Q: sin x dx cos x

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Q: Find the average value of the function J (1) = VI +1 from x =0 to x = 3.

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Q: Find the absolute maximum value of f(r)= x-2x+ 16 over the interval 0, 5

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Q: Write the sum using sigma notation: A 9+ 13+17+21+-..+ 37 > B, where 72 A

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Q: Find the Jacobian of the transformation. x = 4e sin(20), y = er cos(20) a(x, y) a(r, 0)

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Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) 7, f(7) = 2, f'(7) = 13, f'(6) = 6…

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Q: The antiderivative of the function f(x) = 4 + 10x is + 5.0x? + c 4 5.0r? +c 4 + 20.0z? + c + 5.0z?…

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Q: Find the absolute maximum value of f(x) = x2 – 2x + 12 over the interval (0, 4]

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Q: Determine the area bounded by

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Q: The integral in this exercise converges. Evaluate the integral without using a table. 14 dx V196 -…

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Q: Using the graph find:  f'(2) g'(2) d/dx [5f(x)+3g(x)] | x=2

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Q: Researchers have found a correlation between respiratory rate and body mass in the first three years…

A: Here, the given function is: log R(w)=1.85-0.48log (w)...(1)

Q: Find the equation of the tangent line at the given point on the following curve. 3 3 In (x+y)=x y" +…

A: The given equation is  ln(x+y)=x3y3+ln(x2+2)-8, (1,2).

Q: You construct an open box with locking tabs from a square piece of material, 24 inches on a side, by…

A: Solution is here

Q: dx 1+x3

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Q: Activity 2 Differentiate the following. 1. y = sin(6x) 2. y = sin (5x – 2) 3. y = tan (2x³ + 5) 4. y…

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Q: Consider the following planes. -6x + y + z = 6 12x - 2y + 6z - 36 (a) Find the angle between the two…

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Q: dy Find by implicit differentiation for the following equation dx 3D8X+6y+7 dy dx

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Q: Find the arc length of the parametric curve: x = e'(sint + cos t), y = e'(cost - sint) OstsIn3

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y (x-4) +x/y = 8; x=4 y…

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Q: Evaluate x +1)?dx = [{(x+ 1}dx+ f{(x+ 1}°dx %3D

A: ∫13x+12dx=∫12x+12dx+∫23x+12dx⇒563=∫12x+12dx+∫23x+12dx⇒563=193+∫23x+12dx⇒563=193+373

Q: The value C for the solution of the initial value problem f'(x) = r - 7r + 3, given that f(0) = 0.…

A: We have to find value of c

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: First we find unit vector of v.

Q: 12x Find a power series for f(x) = |x| an. (x2 + 1)? n=1 -1 Hint: First, find the power series for…

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Q: Use the graph of the polynomial function f(x) (a) to solve f(x) = 0, and (b) find the factorization…

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Q: Find the equation of the tangent line at the given point on the curve. 3y-x = 8, (16,2) %3D

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Q: Show that 2x° dx = [; 2r° dx + f zr* dx + [,2x° dx %3D

A: Given that,    ∫142x2dx=∫122x2dx+∫232x2dx+∫342x2dx

Q: Question 2 Let us calculate the definite integral | (2 + a? + 1)°(6æ² + 4x) da

A: Given,            ∫x3+x2+156x2+4xdx

Q: Answer the following True or False. Let f(x) be a continuous increasing nonnegative function. Then…

A: Let f(x) be a continuous increasing nonnegative function.Then the left endpoint Riemann sum…