Estimate the area of the curve y= from r = 0 to r = 3 by using 6 rectangles and right end-points, R6. Also, find the exact area A. %3D Answer: (Write your answers in decimal.) Ar || (Write your answer to 4 decimal places.) R6 %3D A =

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A: This question can be solved by substituting n=4 in the general approximation of definite integral by...

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A: The given functions are:1. fx=x+3if x≤3x3-20if x>3 at the point x1=32. fx=4-xif x≤44-x2if x>4a...

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A: Explanation of the answer is as follows

Q: (a) Find the differential dy. y = V 15 + x² %D

A: y = f(x)dydx = f'(x)dy = f'(x) dxy=15+x2dydx = ddx(15+x2)dydx = 1215+x2 ddx(15+x2) dydx = 2x215+x2dy...

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A: We have to find piecewise defined function.

Q: and solve the equation + (4.ry – e v) dy = 0. | constant

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Q: Can you please answer both

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Q: 3. Given the matrix below, determine the following: a. Transpose of the matrix b. Determinant of the...

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Q: Given that y = (1In(x))?m(=), find dy using the method of logarithmic dx differentiation. dy dx ||

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A: Giv:    x2 + y2 = ( 3x2 + 2y2 x )2     Point: ( 0 , 1/2 )

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Q: 3. Find the solution to the initial value problem y'+ y = 12t, y(1) = 6. 4t3

A: This question is related to differential equations, we will solve it using given information. 

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A: We have to prove given integral. 

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential equa...

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Q: -) For the function f(t) = 16t3 - 40t consider the definite | integral "f(t)dt -1 a) Evaluate this i...

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Q: The sides of a cube are found to be 6 feet in length with a possible error of no more than 1.5 inche...

A: Given problem:- The sides of a cube are found to be 6 feet in length with a possible error of no mor...

Q: set S = {1,2,3}, set T = {10,20,30}, set V = {a, e, i, o, u} function g: S T g(1) = 30, g(2) = 20, g...

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Q: Number of phone surveys A research institute conducted phone and mail surveys. The total cost of con...

A: topic - linear function

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Q: Which of the following is/are true of f (x) = x²(x + 3)²? %3D

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Q: Solve the following Differential equations. 3. (x-2y) dx + ( 2x+y) dy = 0

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Q: Find the value of b for which the differential equation (yel0zv + x) dx + (bxe10wv) dy = 0 10xy is e...

A: Let's find. 

Q: Complete the following table. 2 x2 ±1 ±0.5 ±0.1 +0.01

A: We can complete the table as below.

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Q: 2. y(x? + y? – 1)dx + x(x² + y² + 1)dy = 0 - 3. 2y(x2 – y + x)dx + (x² – 2y)dy = 0 - -

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Q: V tano do %3D V2

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Q: :G(x) = tan t dt. G (1)=0 G' (0) =0 G' (중) 3D

A: This question is based on definite integral.

Q: Consider a minimal threshold value for a species to survive, T. One way to add in this factor to the...

A: The answer is shown in below steps.

Q: 00 Determine whether the series E. 2 converges or diverges. If it converges, find its sum. e n= 0

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Q: Is the function f (x) below continuous on [3,+0)? (0, x > 0 X, 0 3 Choose

A: This question is related to limit and continuity, we will solve it using given information. 

Q: Find an equation of the tangent line to the graph of the function at a given point. Note: Do not use...

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Q: り)

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Q: Find the f and fy of f(x, y) 2x'y+ x sin y O If f(x, y) = x'y - xy, find + av O If v = sin- (2) + ta...

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A: we observe that in first three laps ,B is taking less time as compared to A ,so B is leading then in...

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Q: Solve using fragmentation of fractions 1 dX x(х — 1)?

A: