Use integration by parts to find the integral. ( √x xeax dx (a = 0)

Q: If a ball is thrown straight up into the air with an initial velocity of 40 ft/s, its height in feet…

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Q: Find an equation of the tangent line to the curve at the point (3,12) y= (x-1)/(x-2) + 10

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Q: How many steps does a limit proof have? What are they?

A: We have to write about the steps involved in limit proof.

Q: 13(2-x) = x-2 Set builder

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Q: thats not telling me theta, or if the angle is obtuse, acute, or right.

A: Given that θ is the angle between u and vwhere, u=20 and v=-11As we know that(a) angle θ is acute if…

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

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Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x^2 Find a formula…

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Q: A graphing calculator is recommended. If a rock is thrown upward on the planet Mars with a velocity…

A: As given height of the particle is y=14t-1.86t2 after time t of throwing.

Q: I. 2. dt Find the solution of the following differential equation: dt - 4y = 1; y(0) = 1, y'(0) = -…

A: solution of a given problem is given below

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A: given  y=lnx, y=0, x=4 about the y axis formula for volume is V=∫abπ(R(x))2dx

Q: Consider the following curve. y = 2x2 − 5x + 1 Find the slope m of the tangent line at the point…

A: Given equation of the curve y = 2x2 − 5x + 1

Q: 13. Determine the dot product of the two vectors shown in the diagram. 4 -3 -2 4- 3- 1 ++ I 2 3 4…

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Q: X . Find and simplify completely the difference quotient, 3x + 1 h0. You must show all your work as…

A: Topic:- application of calculus

Q: Use the shell method to write and evaluate the integral that gives the volume of the solid generated…

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Q: 1.48 1.31 1.14 8.97 8.8 The graph above shows the cost of mailing a first-class retail flat letter…

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Q: Evaluate the line integral C: y² = 27x from (27, 27) to (0,0). NOTE: Enter the exact answer. Jo-…

A: We are asked to evaluate the integral.

Q: Estimate the instantaneous rate of change of h(x)=4x^(2)+4 at the point: x=2

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Q: Find all the second order partial derivatives of g(x,y) = x³y + 3 sin (y) + 3y cos (x).

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Q: Let f(x)=2x+1 and g(x)=x^2−5 Compute the following functions. 1. f(g(x))=   2. g(f(x))=   3.…

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Q: 2. Which of the following function is continuous in R? Of(x) = = x² + 1 Og(x) = x3 +1 Oh(x) = 04(x)…

A: Here we have to choose the correct option.

Q: lim f(x) = 8 x→2 then compute the exact value of lim V x + f(x) x→2

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Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

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Q: Which equation best fits the graph shown below where A > 0 ħ

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Q: Which polynomial function has the following end behavior? Assume a and k are positive constants. If…

A: Given: If x→-∞ then p(x)→+∞,   If x→+∞ then p(x)→-∞

Q: Find the equilibrium point for the supply and demand functions below. Enter your answer as an…

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Q: Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then…

A: We have to find the echelon form and solve the system.

Q: Let f(x)=x^2−1 Let g(x)=−4x+1 Find the following: (a) f(6)+g(6)= (b) f(3)⋅g(3)=   (c) f(g(4))=…

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Q: Find an equation of the plane. the plane through the point (2, 5, 7) and with normal vector 3i + 6j…

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Q: Given that f(x) = x² (a) (ƒ+g)(x)= (b) (f - g)(x)= (c) (fg)(x)= - 15x and g(x) = x + 1, find

A: Since you have asked multiple  part question, we will solve the first 3 part of the question for you…

Q: The length of a rectangle is 15 ft. Express the width W of the rectangle as a function of its…

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Q: the time required for an investment of 3,000 dollars to grow to 12,000 dollars at an interest rate…

A: Given query is to find the time required to reach the investment to 12000.

Q: he height of a flower is h. If the flower grows 6%, which expression represents the new height of…

A: This is question of calculus here the percentage increase given we have to find the new height…

Q: Use a definite integral to find the area under the curve between the given x-values. from x = 1 to x…

A: By using a definite integral to find the area under the curve between the given the given…

Q: A closed box is in the shape of a rectangular solid with dimensions ?, ?, and ?. (Dimensions are in…

A: Let dimensions are ( x , y , z ) As we know that total surface area of rectangular box ( A ) = 2( xy…

Q: An arc of length 19 meters subtends a central angle of 288 in a circle. a) Find the circumference of…

A: Given query is to find the area of the circle.

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin 2x, g(x) = cos x,-17…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: In each question sketch the region with the given boundaries and find the area of the region: (a)…

A: Here we have to find the area bounded by the curves.

Q: The table below shows the position of a cyclist. Find the average velocity for each time period. t…

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Q: Use the shell method to find the volume of the solid generated by revolving the plane region about…

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Q: Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are…

A: given  n(E)=6n(S)=24formula use is P(E)=n(E)n(S)

Q: Evaluate the limit: lim sin 5x sin 4x sin 4x sin 2x x→0

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Q: Suppose P(t) is the US population in millions today and t is in years. Match each statement (I)-(IV)…

A: Topic - Functions We are given P(t) is the US population in millions today and t is in years.

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59

A: Given :y=81-x20≤x≤9about y-axis

Q: Problem 3-5 (Algo) A cosmetics manufacturer's marketing department has developed a linear trend…

A: Question - A cosmetics manufacturer's marketing department has developed a linear trend equation…

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A: The following chart shows "living wage" jobs in Rochester per 1000 working age  adults over a 5 year…

Q: $19,000 is invested for 3 years at an annual simple interest rate of 19%. (a) How much interest will…

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Q: The graph in the figure is a horizontal and/or a vertical shift of the graph of y=x^2. Find a…

A: Here we have to plot a graph.

Q: Find the center and radius of the sphere. 2x² + 2y² +2₂² +x+y+z=25 Center = (1.1.1), radius= (Type…

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Q: Of is left continuous at 0 f(x) = cos(x) 1 X x 0. X =

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