1/2 cos ¹ x dx

Q: dx (x² +25)3/2

A: To find the integration.

Q: 10) y7 exbx

A:

Q: IV. Evaluate: lim (x² + €¯²) (² - ¹ cs

A: We can evaluate the given limit by using the properties of  limits.

Q: y=u² +2u u=v² + 2v v = x² + 2x

A:

Q: 2) Find the absolute maximum and minimum for function F(x,y)= 4x³-2x²y+y² on the region R bounded by…

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Q: 3. √ √1 + x² dx

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Q: Solve the given initial value problem. O x³y²y³ = -18 O x³y² + xy³ = -18 Oxy² + x³ = -18 O x¹y² + y²…

A: So,it is non exact differential equation.

Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

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Q: y ye 2x+4 tax

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Q: Prove the following using the principle of mathematical induction. For n > 1, 1 1 1 1 = + + + 54 ( –…

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Q: 2 3) 9 = x ² sin x y વચ્ચે ઝ 4) y = sin x 1-2 cos x

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Q: 2. Remy, a rat, is walking along a straight pipe. His directed distance (in inches) relative to the…

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Q: H.W: Evaluate the integral 30 1. [[(x²y = 2xy)dydx 0 (2x- - y)dydx 2m [[(sinx+cosy)dxdy 3. 5. 2. (x…

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

Q: Find g'(x) for each of the following functions. 4) g(x) = sin(u²)du 5) g(x)=₁*Inu du

A: Solution: The objective is to find the derivatives of given functions

Q: 9. A man in a row boat at point P, 5 miles from the nearest point A on a straight shore, wishes to…

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Q: 2 убличк In'/xl alx

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Q: 2. Solve each of the following integrals using integration by part: a) √3x² In 2x dx b) 5x sin 3x dx

A: Integration is evaluated.

Q: Let f(x) be a function which has inverse. If f(3)=8 then f-1(8) equals a. 8 b. -5 c. 5 d. 3

A: It is given that,  f(3)=8 f-1(8)=?

Q: Use Chain rule find the derivative w= 4x^2 +3y^2 with respect to t along the path x=sint and y= cost…

A: Note: “Since you have asked multiple question, we will solve the first question for for you. To get…

Q: the point type of the function [f(x,y) = x^2+xy+y^2 +3x-3y+4 ] is Relative Minima O saddle point O…

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Q: Consider the parametric curve: X = = 7et y = 3t5 Which integral gives the arc length of the curve…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution…

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Q: Identify the surfaces of the following equations by converting them into quations in the Cartesian…

A: To identify the quadratic surface of the equation: Given: The equation of the surface is r=z2-1.…

Q: 13 By direct partial integration, Solve the following PDES s. 8²u ахбу = CEX COSysXu(X,t) Ex UCH, y)…

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Q: A rectangular classroom has length that is 1 meter more than 2 times the width. Find the dimensions…

A: Given  Perimeter  of rectangle = 32m Now, let the length be 'L' and the width be 'W'. According to…

Q: 7 Find the general Solution of the following PDES. -X • 3U XA2 Uy so > u(x,0) = 4 ex (3y-2x)/2 ans -…

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Q: Let F(x,y)=ln(x² + y²), then answer the following (4) Find the boundary of the function's domain.…

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Q: A В D ľ КIN 5л 2 (2 — 4sin(0) + 2 sin²(0)) d0 (2 - 4 sin(0) + 2 sin²(0)) d0 (1 — 2 sin(0) + sin²(0))…

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Q: Suppose h(x) = f(t)dt on the interval [0, 12], where f (t) is shown in the graph below. f (t) 8 10…

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Q: San 4h (x) dx = [ -3 y h 8 2 AN -3 10 4 -1/ -7 -7 7 x

A: From the graph, note that: ∫-30h(x) dx=-1 because area bounded by the curve h(x) is -1 in -3 to 0.

Q: 9. dx 5-4x-x²

A: As per our guideline we are supposed to be answer only one question you can repost other question in…

Q: Set-up the iterated double integral in polar coordinates that gives the volume of the solid enclosed…

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Q: Suppose that a volcano is erupting and readings of the rate r(t) at which solid materials are spewed…

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Q: Solve each of the following systems of equations. Express the solution in vector form. (a) x+y+2z=4…

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Q: و و ۹۷۶) (0) لا او A 2 1 - X Jx (x+2 - 4

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: Ixe xex/3 dx

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Q: Find a potential function f for the field F. F = (5y + 2z)i + (5x + 3z)j + (2x + 3y)k A general…

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -5, ƒ'(0) = 10, f(x) = +…

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Q: 1. Approximate the area under the graph of ƒ(x) = x² + 1 from x = −1 to x = 2. a. Sketch the graph…

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Q: Q5/ Solve for x the following inequality and show their solution set (x: x2-x-300)

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Q: Find the solution of the given initial value problem. v- 7 y = y' cost t-7' y (π) = 0, t> 0 y(t) = =

A: The standard form of the first-order differential equation is: dydt+Py=Q Where P and Q is the…

Q: 3 By direct partial integration, Solve the following PDES 8- 8²u axdy = ceBX Cosy SXUCX,#) Ex u(π,…

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Q: 3. Set-up the iterated double integral in polar coordinates that gives the volume of the solid…

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Q: 2 \n'/x/ ax

A: We will solve the problem.

Q: let f(x)=x +9x-1 if (f o g)(x)=x+9√x-1. find g(x)

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Q: Let R be the region in the first quadrant bounded above by the parabola y = 4 x² and below by the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What value of x is paired to y=15 using the function f(x) = 2x²-3x+1? none of the choices O-2 3 2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Does the following series converge or diverge? 4√n Σ 3/2 10n +7n+7 n=1 O The series diverges. The…

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Q: Given that v = ⟨0, –2⟩ and w = ⟨5, –8⟩, what is w – v?

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Q: Sketch the graph of a function f that is defined on R and continuous except for the stated…

A: A function fx is continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(x)