3y + 2y Solving by variation of parameter y" Wronskian W is: 3e*cosx, the value of |

Q: Let F(a) = f(x*) and G(x) = (f(x))". You also know that a = 2, f(a) = 3, f'(a) = 15, f'(a*) = 2 |3D…

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Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: Let's find.

Q: Asec24xdx

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A: Given differential equation is y''-16y=2e4x. The characteristic equation is m2-16=0⇒m=±4. So, by the…

Q: 1) Use the Integral Test to determine whether the series 1 is convergent or divergent. (Зп — 1)? c)…

A: The given series ∑n=1∞1(3n-1)2

Q: For the following.problems, you need to provide a clear and detailed solution. Work Problem 1 i- :):…

A: We can solve this as follows:

Q: The integral of the given function S dx is equal to 4+x2 a. 0.116 b. 0.611 c. 0.117 d. 0.161 e. None…

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Q: 3. T The point 2, 3 is given in spherical 4 coordinates. Its rectangular coordinates are: 3 /6 2 2 2…

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Q: Which of the following is the differential equation of the family of Straight lines with slope and x…

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Q: y cos x+sin y+y 0. Solve the following dx sin x+x cos y+x differntail equation 1.

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Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

Q: Determine whether F(x, y) = 3xi + 7yj is a conservative vector field. find a potential function for…

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Q: Evaluate the definite integral 9 6x² + 6 dx 35 X o 588.65298705274 3

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

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Q: x +k a. Determine the value(s) ofk such that g'(1) = 5 if g(x) = %3D %3D x² - 2

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Part 3: Integrate the following Show your complete solution. 1.) f (x + 5x -x)dx 3.) S 12x(7+ 6x*)dx…

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Q: 24 – 44 dy 2+ 4y с.

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Q: Q3: Find gradient of the following function at given point 1) f(x, y) = y –x, (2,1) 2) g(x, y) = y –…

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Q: Given the series E n10 Which one of the following gives lim n=1(-10)+1 Select one: 3 10 1 None of…

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Q: is equal to sec (2x) + In|sec(2x)|+ C sec (2x) – In|sec(2x)| + C the above the above Gsec (2x) –…

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Q: The technique used to prove that dk =- 3x + 3V3 tan" + C %3D x2 + 3 3 is O Integration by Parts O…

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Q: The area bounded I led by y=3x and 2y=3x is revolved about the y-axis. Using circular ring method,…

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Q: 0 14 (x² + 4y) dæ dy 4

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Q: Solve [æ – y cot ( ) dæ + x cot () dy = 0 ; y (5) = 1

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Q: Using appropriate trigonometric substitution, dx xV4 - x2 is transformed to 1 S csc 0 de cos e d0 2…

A: Topic = Integration

Q: If ex) dx = 33 and/ ocx) dx = 16, find (4f(x) + 59(x)] dx.

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Q: Differentiate x + y = e2x+2y A. 1 – 2e2x+2y 1+ 2e2x+2y y' В. -1 + 2e²x+2y 1 – 2e2x+2y y' | С. ||

A: Given query is to find the derivative of the expression.

Q: P4: x3 (x² + 1)3

A: Use the algebraic substitution and solve the integration.

Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t2 (in…

A: Let's find.

Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution and Answer

A: Given : 2x3=(3xy+1)2   To Find : Implicit derivative

Q: 6. 19-x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The solution y, of the homogeneous differential equation y() + 36y" = 0 is O None of them O c_1+c_2…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: I can't see the full solution.

A: Apologies for the inconvenience. If you do not see the Math expressions properly, then please…

Q: e4z+1 dx e2r – 1 17.

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Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) =…

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Q: cos(xy) + secy = 5

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Q: €) In VEx dx d) so sce x e Serx tumx dx

A: The objective of the question is evaluate the definite and indefinite integral.

Q: 8. The rationalizing substitutionw + 4 = u² transforms - dw into w+4 A. fu² - 4°du B. 2fu² - 4}du C.…

A: Given: I=∫w2w+4dw  ...1   As we know that; The Power law: ddxxn=nxn-1 And ∫a·fxdx=a·∫fxdx , where a…

Q: In(x®y®) = x² +y³

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Q: The general solution of the fourth-order differential equation y() + y" + y" =0 is: %3D y=c_1 +c_2…

A: The general solution of the fourth-order differential equation.

Q: Q3/ Find the limits 1. lim 2. lim Vx+2-1 X-1 х+1

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Q: Use the integral test to determine the convergence or divergence of the series. 1 20) E k = 1 6k- 1

A: Let's find.

Q: dx J1- ² 2x + x°

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Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

Q: If f(x) = 4 Tln(x), find f'(x). %3D Find f'(2). Submit Question

A: Differentiation

Q: Write z1 and 22 in polar form. 21 = -36, z2 = V3 +i Z1 Z2 Find the product z1z2 and the quotients 2…

A: Let's find.

Q: Graph the function. Use the graph to find the indicated limit, if it exists. x3 x20 lim f(x), f(x) =…

A: Let's find.

Q: Solve the second derivative(y") of the following function and simplify the final results. Show your…

A: We will find the second derivative.

Q: P3: | tan3 3x sec 3x dx

A: To evaluate: I=∫tan33x sec63x dx Substitute 3x=u⇒3dx=du⇒dx=du3 then: I=∫tan3u sec6u du3=13∫sec5u…