1 0 1 B= -2 -2 -1 1 2 2 en det (B³) e the following methods helpful? A combination of Definition 3.28 and the formula for a 3 x 3 in Section 4.1. A combination of Example 3.37 and the formula in Definition 4.7. A combination of the formula in Definition 4.9 and Theorem 4.32.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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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.

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A: Follow the procedure given below.

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Q: The following figure shows the graphs of y = f(x) and y = g(x), together with the indicated areas. C…

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Q: A=3 B=6 find the average rate of change of f(x)=3/x+b between x=A and x=A+h

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = (i-)

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A: A man 167.68 cm tall is walking directly away from a lamp post fronting a building at the rate of…

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Q: coskry) Im .y)- y-5

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Q: 1. Let f(x) be a function of period 2n such that 1, -7 <x < 0 0 <x <7. 5(<) = { 0, a) Sketch a graph…

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Q: Tristan will deposit $196 into an account every two weeks (26 times per year). The account earns an…

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

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Q: C. Given that log, 2 = 0.693, log, 3 1.099, and log, 5 1.609, find each of the following, if…

A: Given that,  logb2≈0.693, logb3≈1.099, logb5≈1.609 We need to find the value of each of the below…

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Q: dy 2 Solve (x2 - 1)+ 2xy x2-1

A: (x2-1)dydx+2xy = 2x2-1dydx+2xx2-1y=2(x2-1)2this Diff eq is Linear Diff Eq.dydx+P(x) y =…

Q: dr Let A be the area of a circle with radius r. If dt dA when r = 5. dt 5, find 50 Question Help:…

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Q: O (1, 5) О (-о, 1.5] O (-1, 4) О (-3, 2)

A: Let's find.

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

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Q: Find the solutions of the system of inequalities by graphing: x + y 2

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Q: 4. Find the absolute maximum and absolute minimum of the function f(x) = 3 sin(x) cos(x) over the…

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Q: Integrate: 2x +3_ dx' 1. dx (2x "5)(xt5) 2.

A: A detailed solution is given below

Q: 1. In the differential equation (x+2y-1)dx+(2x+4y-3dy -0, we let the substitution

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Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 8 cos(t)i + 5 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Solve it.

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: The series E, an is convergente then the series E(an) is also convergente Select one: True O False…

A: 1.The series ∑k=1∞an is convergent then the series ∑k=1∞an2 is also convergent.2.If ∑n=0∞an is…

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A: A product is introduced to the market. The weekly profit in dollars of that product decays…

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A: Given that Rojana is 8 years older than AJ and the sum of their ages is less than 24. Here we have…

Q: I ntegrate : 1. ト「1G4y? +L dx 64x?+ル 2+16 dx

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Q: Let A = (1,0, 2) and B = (6, -2, 3). Solve for projĄB.

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Q: Work Problem 1 (a) Sketch the surface generated by revolving the line y = x/2, 0< x < 6, about the…

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Q: that has i +j and i – 18j as adjacent sides. NOTE: Enter the exact answers. ||d||= 19 ||d||=|17.12

A: Vector

Q: 5. R = (sin 2t , cos 2t , 2t3/2), 0 <t<1.

A:

Q: 2. A golf ball is thrown up from the surface of Planet X (a made-up planet). The position s of the…

A: s(t)=-0.6 t2 +48 tvelocity is obtained by differentiating position functionv(t)=s'(t)=-1.2…

Q: The following figure shows the graphs of y - f(x) and y = g(x). together with the indicated areas.…

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Q: Let f(x) = x In(1+x*). For all æ € [-1, 1], it is known that %3D +o0 In(1+x) = £ (-1)" -xn+1 n+1 n=0…

A: Given: Now, for 7th degree Maclaurin polynomial for f will be,        ln(1+x)=∑n=06(-1)nn+1xn+1. We…

Q: 5. Find the indefinite integral. a) S 2*-+52 dr b) S Va(zi - a² +z)dx b) S Va(a – a² +r-)da c) S…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the directional derivative of the function at P in the direction of f(x, y, z) = xy + yz + xz,…

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Q: Find the value for k so that the function will be continuous at x = 3. %3D - 10x2 - 10x + 120 - 1 1…

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Q: In the differential equation (6x - 3y + 2)dx-(2x - y - 1)dy = 0 , we let the substitution dx =…

A: Please see the answer below.

Q: Q2/ Find S*(4 – 3x) sinx dx -

A: Given: I=∫0π/44-3xsinxdx   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx And…

Q: 10. If G(x) is an antiderivative of g(x) then y = G(x) is a solution to the differential dy equation…

A: If G(x) is the antiderivative of g(x), an integrable function. Then ∫g(x)dx=G(x)+C, C is a constant.…

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

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (3, 9, –5) Vw(3, 9, -5) =

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Q: y" +y' + 1.25y = 0, y(0) = 3, y' (0) = 1.

A: