Sxsin(3x)dx 2

Q: Find the critical point(s) of the function. S(x. y) = x³y + 12x? – 8y + 1 (Give your answer as a com...

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Q: dy Write down a differential equation of the form ay +b whose dt all other solutions diverge from y ...

A: Here we are required to find a differential equation of the form dydt=ay+b. whose all other solution...

Q: Question 1 - of 15 Step 1 of 1 00:26:06 Find the volume of the solid generated by revolving the regi...

A: Volume

Q: 4.) f(x) = (x+1) 5.) y = x²(x - 5)²

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Q: Use a sum or different formula to find the exact value of cos285

A: sum formula cos(A+B)=cosAcosB-sinAsinBnow285=270+15A=270, B=15and we know that sin15=6-24 

Q: Find the maximum of f(x, y) = 2x + 2y – x²-} - xy on the square, 0 s xs a,0sysa, a = 3. Edge a0 - Bd...

A: In order to find the critical point first we need to partially differentiate with  respect to 'x' an...

Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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Q: 5. Find the volume of the solids generated by revolving the regions bounded by the curve to x = 4 ab...

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Q: Evaluate the double integral y sin(2³)dA where R is the triangular region with the three vertices (0...

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Q: Find the radius of convergence and the interval of convergence. 2 K(k + 1) 1) First apply the Ratio ...

A: The given series is: ∑k=1∞xkk(k+1)...(1) So, ak=xkk(k+1); k≥1

Q: What is the derivative of 0.50 sin 2t+0.30 cos t

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Q: Volume of a Cube The volume V of a cube with sides of length x in. is changing with respect to time....

A: This question can be solved by applying the concept of rate of change of quantities.

Q: =sec (Xty)

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Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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Q: Let the graph below be the graph of one wavelength (period) of f. Then f(z) =. 2- -2- 27 O2 cos 67 2...

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Q: 10. lim Ve+ 2-2

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Q: One leg of a right triangle is 6 inches longer than the other leg. How long should the shorter leg b...

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Q: x2 dx J V4x – x²

A: Given:       ∫x24x-x2dx    =∫x24-x-22dx  substitute u=x-2→dudx=1→dx=du                    use x2=u+2...

Q: Since January 1, 1960, the population of Slim Chance has been described by the formula P=37000(0.93)...

A: The objective is to find the rate at which the population changing on January 1, 1991.

Q: Evaluate using substitution techniques

A: Given

Q: Given: sing = -, e is a third quadrant angle, and tand = -, bis a second-quadrant angle; find sin(e+...

A: For the solution follow the next steps.

Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the gi...

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Q: 3. Given r(t) = e' sin t i + et cos tj + v2e'k, a) find the arc length function for the curve measur...

A: We have to find arc length function, point and re-parametric equation. 

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Given

Q: Solve (x – y)dx + (3x + y)dy = 0 with the condition: y(2) = –1 O (2æ + 4y) – (2x + 4y) ln(2x + 4y) =...

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Q: In the decomposition a = aTT + aNN, what do aT and aN represent?

A: Tangential and normal component of Acceleration : Suppose that r→(t) is a smooth parametrization of ...

Q: True or false? The function f(x, y) is continuous at x2 + y? the origin. True O False

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Q: Determine the standard equation of the ellipse that satisfies the given properties: foci at (-4, 0),...

A: Given that, Foci of an ellips are = (-4, 0) and (4, 0) And the ellips passes through the point (3, 1...

Q: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operatio...

A: Basic application of derivative problem

Q: dy by implicit differentiation. dx Find x?y3 - 12xy2 = 8 dy dx

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Q: Question 12 Find the linear approximation of the function f (x, y) = 2x – y + a²y - near the point (...

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Q: TRUE or FALSE 1. The co-vertices are on the hyperbola. 2. An ellipse contains its co-vertices. PL...

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downward? O...

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Q: cos² x d.x 4 sin* x 2.

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Q: Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a cons...

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Q: Exercise: Do as indicated if x 4. 3 1. Is the function g(x) = continuous on [1,4]? on (-∞, 0)? 3 – ...

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Q: Determine the standard equation of the ellipse that satisfies the given properties: center at the or...

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Q: Select the SHAPE that corresponds to the correct answer. Integrate tanh y with respect to p. In Isec...

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Q: A linear function f(x, y) = ax + by + c has no critical points. Therefore, the global minimum and ma...

A: Given function f(x,y)= 4+6y-24x  Now since it is a linear function it has no critical point. So the ...

Q: Find the general term of the sequence, starting with n = Determine whether the sequence converges, a...

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Q: Sun. Mon. Tues. Wed. Thurs. Fri. Sat. number of births 13 24 19 25 15 21 15 probability...

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Q: Find the inverse of the given matrix and verify if [A][A]-1 = [A]=1[A] = [1]: [25 5 [A] = |10 4 8 16...

A: Here, the given matrix is: A=25541051681222 First of all, find the inverse of the matrix.

Q: What are the coordinates of the foci in the equation - 4 *5=1? A F1(1,0); F2(-1,0) B F1(3,0); F2(-3,...

A: The given equation is: x25+y24=1                               (1) Equation (1) is compared with the...

Q: et sin x | lim x → 0 18 cos x 18 (Use calculator and write your final answer in the given box)

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Q: Assume that f(x) = x. Evaluate a. lim f(r). f. lim (f(r)) – f(x)). b. lim エ→4 () g. lim (f(r)* +(f(r...

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Q: Let H(x)=F(G(x)) and J(x)=F(x)/G(x) Suppose F(2)=8, F′(2)=−6  G(2)=10, G′(2)=−4 G(1)=2, G′(1)=6  H′...

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Q: 3. If y = 2 – 1, find the length of the graph of f from point z = 0 to a = 1.

A: Here, the given function is: y=f(x)=423x-1 To find the length of the curve from x=0 to x=1

Q: e dx (9+ e2=)

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Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is =2...

Q: Find the equation of the tangent and normal line to the following curves at a given specified point....

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