Find the exact length of the curve. 1 + x?)3/2, 0sxs2 y

Q: Let g(x) = :| f(t) dt, where f is the function whose graph is shown below. What is the value of g'…

A: Let gx=∫0x ft dt, where f is the function whose graph is shown below.To determine the value of g'8.…

Q: Find the maximum rate of change of the function f(x,y) = sin(xy) at the point (0,1) and the…

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Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z = -13. Find the following. 1. A vector…

A: The given planes are: x-10y-2z=3 and 2x-y+z=-13 Let us assume z=t on the line of intersection, where…

Q: Find the average value of the function over the given interval. f(x) =13–x² on [-3,3]

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Q: Simplify cos[arctan( -). -12/13 5/13 12/13

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Q: x3 dx Vx² + 9

A: A detailed solution is given below

Q: in 5-- 2 34 6. Graph of f The graph of the function f is shown above. Which of the following…

A: here we can see than the f(x) is discontinue at 4  so if function is discontineous it means the…

Q: iut n=1 Find the radius R of convergence for the series

A: Just use the formula of Radius of convergence and find it. Radius of Convergences, R= 1

Q: Evaluate the double integral // fO f(r, 0) dA. T/6 (4 r2 sin(0) cos(0) dr de Sketch the region R.

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Q: after t hours is given by v(t) == 3t"+2t. Find the distance the particle travels during the first 4…

A: Given query is to find the distance in first 4 hours.

Q: Which of the following series is convergent? 2 n 3 n=1 3 n n=1 O None of them. n 4 n=1

A: Check the condition of convergence and divergence.

Q: 12. (Section 4.4) Find the average value of y = 3e¯* over [0, 2.

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Apologies for the…

Q: Graph the curves and show that the 2x2-y2=C is a solution to yy'-2x=0.

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Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

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Q: For the graph of y = f(x) shown to the right, find the absolute minimum and the absolute maximum…

A: The absolute maximum of a given graph is the point on the entire graph with the highest y-value…

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = Va2 – x2 R…

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Q: 8. (Section 4.3) A motorboat is traveling at a constant velocity of 5 meters per second when it…

A: Given,            A motorboat is traveling at a constant velocity of 5 meters per second when it…

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: complete

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Q: 5

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Q: Find the equation of the line tangent to Y = 3x² +x + 1 at = -3 %3D %3D O y = -17x - 26 o y = 6x – 3…

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Q: Determine whether the following series is convergent or divergente: (– 1)" n =1 n6 +7

A: The detailed solution is given below Thank you

Q: A circle is inside a square. The radius of the circle is decreasing at a rate of 4 meters per minute…

A: A circle is inside a square.The radius of the circle is decreasing at a rate of 4 meters per minute…

Q: Use a double integral in polar coordinates to find a such that the volume inside the hemisphere 16 –…

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Q: Select the answer option that corresponds with polar coordinates (-1,–210\degree). 90° 2 4 -7…

A: given polar coordinate (-1, -2100)

Q: (-12)" Σ 100 n n= 3 n

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Q: What is true for the sequence of general terma, =1+(-1)" ? Select one: O converges to 2 O None of…

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Q: Write each pair of parametric equations in rectangular form. Then sketch the curve. 8) x= 4cos t+ 1,…

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Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = V x2 + y2 + z? (8,…

A: Gradient of function fx, y, z=x2+y2+z2 at  point 8, 7, 3

Q: If f(x) = 2x + 3 and g(x) = 3/x, find f(g(x)) and g(f(x)). f(g(x)) = g(f(x)) =

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Q: 18. What is the equation of the curve that passes through (1, 3) , if its slope is given by dy at…

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Q: Give some examples of geometric problems that can be solved using the parametric equations of a line…

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Q: A ALEKS - J'Angello Farrington X Messenger www-awu.aleks.com/alekscgi/x/lsl.exe/1 0- う O EXPONENTIAL…

A: Here we are given a function which is defined by the following rule  f(x)= (1/4)-x And gor different…

Q: Find both first partial derivatives. z = 10y?/x az ax az ду II

A: Solution-

Q: The first term of the expansion of (j – 3n)a is –-3nª. True or False?

A: The \displaystyle \left(r+1\right)\text{th}(r+1)th term of the binomial expansion of \displaystyle…

Q: Aldo deposits $60,000 into an account that pays simple interest at a rate of 2% per year. Melissa…

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Q: F0 (-1)" Ln=1 By the 5n+1 series test:

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Q: find the amplitude , period , phase shift and midline if y = 8 sin (7pi/6 x + 7pi/2 ) +6

A: Given query is to find amplitude , period , phase shift and midline if  y = 8 sin (7pi/6 x + 7pi/2 )…

Q: A spring has a normal length of 10 inches. It has also been determined that its spring constant is…

A: Given that a spring has a normal length of 10 inches. It has also been determined that its spring…

Q: dy (2xy + x²) = 3y² + 2xy dx %3D Choose... Choose... Homogeneous Differential Equation Differential…

A: From the given differential equation find the type of differential equation

Q: The point (3, 7) is a

A: Follow the procedure given below.

Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° 2 45° I 4…

A: The point is -2,-3π4

Q: Simplify cos[arccsc((2√3)/3)]. 1/2 no solution √3/2

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Choose the point which shows the correct location for the polar coordinate (3, –45°). 90° 512 WIN 4…

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Q: – x² , Y2 = x² Y1 16 · x Rotate @ y – axis SHELL METHOD B V = 2. | (C.x² – E · a²)· dG • T: K A…

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Q: be Integral Test is applied to the following series? 4 n + 3 n=1 Select one: Integral Test cannot be…

A: Explanation of the answer is as follows

Q: 8. Find the critical point(s) of f(x) = -5x² – x + 4. Use the First Derivative Test to locate the…

A: The given function,  f(x)=-5x2-x+4

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 <ts 1. X + dy

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