S (In 2x2 dx

Q: If y=f(x) = - 3cos+) + 4 then what is the value of / 2 A) 7

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Q: -(1/3), 3/9, -5/27, 7/81

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Q: Verify Green's Theorem by evaluating both integrals aN dx + x² dy = / / dA ay y2 ax for the given…

A: To verify green's theorem by evaluating both the integrals.

Q: Solve the logarithmic equation algebraically. Approximate the result to three decimal 8+ 7ln x = 14…

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Q: Solve for x in the following expression using the quadratic formula. 3x2 + 19x – 4.9 = 0 Use at…

A: We can solve this as follows:

Q: Find the 22 term of the arithmetic sequence whose common difference is d=4 and whose first term is…

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Q: Find series radius and interval of convergence, then identify the value of x for (-1)". (2n-2)!…

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Q: H.W (5) Solve the following differential equations of ay (6x-y+3)dx+(3y' -x-2)dy 6) Integration…

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Q: 1 :? 5+ x² Which of the following is an antiderivative of the function f(x) : %3D (a) 2x In(5 + x²)…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s)…

A: topic - differential equation

Q: Find the values of c guaranteed by the Mean Value Theorem (MVT) for f(x) = =x + 7 over the interval…

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Q: Find the equation of the tangent plane to the graph of f(x, v) = In (17x² – 14y²) %3D at the point…

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Q: (a) Use Green's Theorem to find the line integral over the simple, closed curve C : r(t) = (cos t,…

A: To use green's theorem to find the given line integral over the curve C

Q: A model for the length of daylight (in hours) in Philadelphia on the tth day of a particular year is…

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Q: 1 If z = 2x2 – 3y with u = x² sin y and v = 2y cos x, determine expressions %3D az dz for and du

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Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

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Q: 2x x– 3)² A = 6, B = 2 A = 2, B = 6 A= 2, B=-6 A=-2, B -6 A= -2,B 6 None of the Above Other:

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Q: es ring (free) e 365 pursEval 2- -6 -5 -4 -3 -2 -1 Write an equation for the function graphed above.…

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Q: r'y'y'+ xy' = 1

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Q: Determine whether the improper integral converges or diverges. Evaluate the integral if it…

A: integration

Q: Let f, g: R → R defined by if x 2 1 ) = {2x –1 ifx< 1 f(x) = and g(x) = 3x + 2. a. Find f-1 and g-1.…

A: ( f○g)(x) = f(g(x)) (g○f)(x) = g(f(x))

Q: ах 2xy 2.xy +3y x +2xy dy dx

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Q: 2-2 +2)Xx+1) (*+1P Option 1 Option 2 1. (x +1) *+2 (x +1) Option 3 Option 4

A: This question is related to partial fraction decomposition, we will solve it using given…

Q: Evaluate (z° + 6) dæ (z³+6)® +c А. 18 (z³+6)° В. +c (x³+6)* 16 С. z18 + 2x15 + c

A: topic - indefinite integral

Q: Evaluate lim (x)/

A: We can find the  limit as below.

Q: b) S X sin xdx 0.

A: Integral by parts:∫uv dx =u∫vdx -∫dudx ∫vdx dxu=xv=sin x∫ vdx =∫sinx dx = -cos x+Cdudx=ddx(x)=1

Q: In the year 2000, the population of a small city was 43,000. The population grows at a rate of r(t)…

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Q: 4z² + 5dz 금(122+5) xo 4a? + 5 Part 2 of 2 ewrite the integrand in terms of u so that the integral…

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Q: 2X メ→チ 7-x

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Q: 6. Consider the DERIVATIVE f' graphed below. Sketch a possible graph of the original function f on…

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Q: Find an equation of the hyperbola having foci at (3, -11) and (3, 7) and vertices at (3, -4) and (3,…

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Q: 2r-4-x 2-2r 3 in Ir+1+3Inlx-3|+C +1-3hx-31 +C Option 1 Option 2 2 In Ix + 1-31nlx-31+ C 2 In Ix+ 1+3…

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Q: Evaluate and simplify: 4sin(4)- csc(-) 2 A 1-2/7 B 1+2/7 -1-2/7 D -1+2/7

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Q: H.W (5) Solve the following differential equations of (x'+y')dx+(2xy cos y)dy phee

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Q: The equation of the tangent plane to this ellipsoid at (1, –2, –2) is The vector parametric form of…

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Q: an

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Q: 1 — х b. lim х36 (х — 6)2

A: b) limx-6(1-x) /(x-6) 2 a) limx-5 (x-1 sqrt(3x+1))/(x-5).

Q: [2.xyy' – y² +, Vy* +x* ; 4– %3D

A: ∫x2+a2 dx = xx2+a22+a22lnx+x2+a2+C

Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. e-4x²…

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Q: Prove the given identities. csc 0 – cot 0 (a) sec 0 – 1 = cot 0 (b) cot 0 + tan 0 = csc 0 sec 0 For…

A: a) [csc(theta)-cot(theta)]/[sec(theta)-1]=cot(theta) b) cot(theta)+tan(theta)=csc(theta)sec(theta)…

Q: Let ABCDEF is a regular hexagon with centre O. Let ā = 0A, b= OB and so on. Explain why/prove %3D…

A: We know that in an regular hexagon the distance from center to any vertex is same, then the…

Q: If x + 1 f(x) then find the global minimum of f on the interval [1, c∞)

A: Given; f(x)=x^2+1/x

Q: Evaluate the integral / (2x + 6y)dx + (15x – y)dy a C arc y = x² from (0,0) to (1, 1). NOTE: Enter…

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Q: 14th term of the following geomnetric sequence. Find the 1. 2, 4, 8, 0. 昌 唱

A: Use geometric series concept

Q: Find the global minimum of the function f(x)=2x^3+3x^2–12x+4 on the interval [-4,2].

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Q: Q Find the deriva tive using the de fini tion (x)

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Q: Let be A, B, C,x. 5x5 matrixes such that A, B and C can be inverted such that AXB" – 151, = c-1…

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Q: In(1+x) -x cosx -1 1. lim x-+0 7- In(2x + 3) 3. lim x-00 In(5x -2)

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

Q: Help Homer design a cylindrical silo to hold the output from his pet pig Harry Plopper. The silo…

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Q: Find the S(x* +) dx xe-1 А. 1x? + c e-1 4e xe+1 В. Ix2 + c e+1 2e xe+1 С. 1x3 + c e-1 Зе xe+1 1 D.…

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