(x² + 1)3 y = (x3 – 1)

Q: Solve the equUations: 1) (D² + 9)²y = 0 2) (D2 + 49)²y = 0 3) (D2 + 36)²y = 0

A: As per our guideline we are supposed to be answer only first three parts of question you can repost…

Q: 4y" – 4y' + y = e"/2/1 – x².

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Q: We have a piece of cardboard that is 14 inches by 10 inches and we're going to cut out the corners…

A: We need to determine height of the box.

Q: dy (х — 1) — у + 2(х — 1)3 dx

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Q: 5xdx 3. Find the integral (x-1)3 -5 a. 2(x-1)2 +C b. ++C -5 2(x-1)2 X-1 c. In () – in () + c )-In()…

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Q: dy Find for dx 4) y= sinxtanx

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Q: A function f has the following graph: 4- -3 -2 1- -2 -1 5. 6. 8. -1- -2- Which of the following is…

A: Graph of the function is given, we have to discuss about continuous of the function

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Follow the procedure given below.

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: x = x1 + x2 x2 = -2x1 + 4x2 х1 (0) %3D 1; х-(0) 3D 0 %3D

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Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

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Q: 3 dy Зу =-sin -1 +C 4- 9y2 3 A True False B.

A: The given integral is 3/sqrt(4-9y2).

Q: Find the exact area under the curve between the indicated values of x. y =x2 - 6x + 9; between x= 2…

A: Solution: ∫24(x2-6x+9)dx

Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: We have to test convergence

Q: S- (1+x²) = x*dx Using trigonometric substitution, tan ode A sece sin Ode B cose S tan od0 sec20 sec…

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Q: Which of the following is an antiderivative of f(x) = 12x³ - 9x2 + 8x – 3?

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Q: r arcsin(5y) dy. Consider the integral V1– 25y? This can be transformed into a basic integral by…

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Q: (x² + y2 + x)dx + xydy = 0 %3D

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Q: x = -3x1 – 2x2 x2 = 9x1 + 3x2 %3D

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

A: Given , dy/dx = x2+2x-4 We can get y by integrating.

Q: d Calculate ri(t) · r2(t)] and d [ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: ||r'(t) × r"(t)|| ||r"(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j + 3tk…

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: x+1 1.

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Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

A: A detailed solution is given below

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

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Q: Which is the correct inverse Laplace transform of U (s)=+ O u(t) = 6t + sinh(4t) + cosh(4t) %3D O u…

A: Recall:  L-11sn=tn-1(n-1)! L-1ss2+a2=cos at L-11s2+a2=1asin at

Q: Each of the following statements is an attempt to show that a given series is convergent or…

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Q: L (7+ 4)(x + 3)dæ = 74/3 %3D Select one: O True O False

A: The given integral,       ∫-11x+4x+3dx=743

Q: x²dx с. (х-1) (х?+2x+1)

A: Topic:- application of integration

Q: y" + 9y = 9 sec² 3t, 0<t < T/6

A: To solve the following differential equation

Q: Complete the squares and locate all absolute maxima and minima, if any, by inspection. Then check…

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Q: 21. Solve the equation y' = (x²+ 7) / 9 (2x / 9) + c b. y = (x / 18) + c 22. Solve the equation y' =…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y2…

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Q: The rate of decay of radium is proportional to the amount present at any time. The half-life of…

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Q: dy Find for dx 5) y = sec-(2e3x)

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Q: Since y"|? v0 at x = -1/2 e we have a relative minimum at the point (c, f(c)). Substitute c = 5e¬1/2…

A: Solve it

Q: If f (x) : 2, what is the equation of the line tangent to f(x) at x = –1? O y+24x + 36 = 0 O y – 24x…

A: Given query is to find the equation of the tangent.

Q: 5. J 12 csc (-6х) cot (-6x) dx 6. J2x3 cot х4 dx 7. S xª sec (x5 - 9) dx 8. S tan 3 x dx

A: The given integral are 5) 12 csc(-6x) cot(-6x)  6) 2x3 cot(x4)

Q: y" + y = sec 0 tan 0

A: The given differential equation is  y''+y=sec(theta)tan(theta).

Q: dy Find for dx 2. y = x(e*) = x(e*)

A: Given: y=xex   ....(1)   As we know that; The Product rule; f·g'=f'·g+f·g' And ddxlnx=1xddxex=ex

Q: For the given cost function C(x) = 25600 + 500z + x², %3D First, find the average cost function. Use…

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Q: = (7, –2) am

A: Given; u=&lt;7,-2&gt;            v=&lt;-4,5&gt;

Q: (D5 -D* – 2D³ +18D² –31D+15)y =0

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Q: Teresa had some Girl Scout Cookies; she gave 2 of them to her best friend, and now she only has 4…

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Q: y = zsin z

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Q: Find the magnitude of vector AB. 1. A = (4, -3) and B 2. A = (-2, 11) and B = (2, 8) = (-8, 2) %3D…

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Q: 19. y = sin-1+ cos-1 2 2

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Q: A box with a square base and open top must have a volume of 415292 cm. We wish to find the…

A: topic - application of derivatives

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

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