= [[[In(x² + y² )dxdydz

Q: _9. Which of the following is equal to fo°dt? A. e C. ex+C D. et +C B. e° +C _10. What should be the…

A: Given data÷

Q: Let y = 4x. %3D Find the change in y, Ay when x = 5 and Ar = 0.4 Find the differential dy when x = 5…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 2x e3a² dx

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Q: Sketch the region R of integration and switch the order of integration. /49-х2 f(x, y) dy dx y Show…

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Q: Find the curvature K of the plane curve at the given value of the parameter. = ti +tj, t = 3 36 r(t)…

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Q: Which of the following series is convergent? 00 (-1) 4. n=1 O None of them. 00 2(-1) 6. n=1 00 6. 11…

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A: Given:      fx=7sinx2 interval 0,π4 Volume of solid using cylindrical shell method is…

Q: 6. Find the critical point(s) of f(x) = -9+ x². Use the Second Derivative Test to determine if the…

A: 6)f(x)=-9+x2Diifferentiatef'(x)=2xFor critical points f'(x)=02x=0x=0Substitute x=0 in…

Q: Evaluate: 5° (-0.45)'(-1)10+i 212- 3D1

A: The given expression is: ∑i=1∞-0.45i-110+i2i2-i We can rewrite this as: =∑i=1∞-0.45i-110+i2i2i…

Q: A farmer has 1200 meters of fence and wants to construct a rectangular pasture. The pasture will be…

A: Explanation of the answer is as follows

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Q: Find the principal unit normal vector to the curve at the specified value of the parameter. r(t) =…

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Q: Plot the following functions over the defined domain. Range is at all values of y 1 b. f(x) = xe-*,…

A: x f(x) -1 -e 0 0 1 1/e 2 2/e2 3 3/e3 4 4/e4 5 5/e5     x g(x) -1 -1/2 0…

Q: Show that la 1 1 1 a 1 - (а + 3)(а - 1)3. - 1)³. %3D 1 1 a 1 1 1 a

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Q: Q1/ a) Sketch the graph of y = sin2x for 0 <x SI %3D b) find the total area bounded by the curve and…

A: This is a problem related to calculating area under curve of the polar equation. Based on the…

Q: Which of the following p-series is convergent: 1 Σ 00 n=1 5 n=1 n n=1 5 1 n=1 15 n

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Q: Question 8 The magnitude, M, of an earthquake is measured using the Richter scale. The scale uses a…

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Q: Find the exact arc length of the curve x = + 2) ? from y = 1 to y = 8. 3 Enter the exact answer. L =

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Q: The following figure shows the graphs of y = f(x) and y = g(x), together with the indicated %3D %3D…

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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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Q: The polynomial of degree 4, P(x)P(x) has a root of multiplicity 2 at x=4x=4 and roots of…

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Q: Use the situation below to answer the following problem: The population of Guinea pigs in a certain…

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Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) sin(5t). lim (e2i + 5t +…

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Q: Use a double integral in polar coordinates to find the volume V of the solid bounded by the graphs…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given equation passing through the points (5 , -3, -2)  and  -23 , 23 ,1

Q: 9 Determine whether the series 9. 9. +...+ 9. +... is convergent or 100 1002 1003 100" divergent. If…

A: 9100+91002+91003+.....+9100n+...common ratio:a2a1=a3a2=1100First term: a=9100common ratio:…

Q: t sin(t² + 4) dt cos(t² + 4)

A: To evaluate: ∫tsint2+4cost2+4dt Let I = ∫tsint2+4cost2+4dt

Q: Find the devivatives of the following equation b Y= ln (x,4)-x fori CH/2)

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Q: The following figure shows the graphs of y = f(x) and y = g(x), together with %3D %3D the indicated…

A: Given problem:-

Q: (a) Use Newton's method to determine 2 correct to 6 decimal places starting with an initial guess r1…

A: Let's find.

Q: The function f(x) = x* + 8x has O a local min at x = -6 and a local max at x = 0. O a local max at x…

A: Use second order derivative test for finding the local maxima Or local. Minima

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

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Q: Find the following derivatives a. 2 tan-(2x²) b. e-3/5 -3/5 + 2x-3/4

A: Solving the problem by finding the derivative of the below function.

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

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Q: Find the particular solution of an EDE (2xy2 +1)dx + (2x2y-y)dy%3D0 when x-2 and y=-2 Answer:

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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: Solve the differential equation dy ; y(0) = –1. %3D da Vx³ +1 There is no need to isolate y.

A: We know, ∫xndx=xn+1n+1+C , C is a constant and n is any real number.

Q: Given the function glx) = -, find the x-value that satisfies the Mean Value Theorem on the interval…

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Q: Find an equation for the given polar graph. NOTE: Numeric label on this graph represents distance…

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Q: 6n+5 is Ln=1 5n+1 Determine whether the series convergente or divergente.

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Q: 3. Ση-1 -1/m By the e n2 series test:

A: We will solve this problem by Abel's test for series

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z² = 26, (1,…

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Q: (Show your solution) Compute the inverse of the function f defined by f(x) V+ 2. Determine the…

A: We have to calculate inverse of a function  And the domain and range of the inverse function.

Q: sin t = (eit – e-i#)

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Q: 2. Given {-t,-n St< 0. f(t) = {t, 0stsa f(t) = f(t + 2n) (i) Sketch the function for 3 cycles. (ii)…

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Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the…

A: This is a problem related to limit and continuity. Based on the given RHL and LHL we will plot the…

Q: the solution for the given initial value problem. Trace the graph of the solution and describe its…

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Q: Simplify arccot(). 3 3

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