•πT (2sinx + 3cosx + 1)dx

Q: 5 5 Suppose f(x) dx = 9 and g(x) dx = -1. djg (a) dx = Evaluate (-3 f (x) - 2 g(x)) dx. -4 Remember…

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Q: Find the sum of the series: 2-2 sin (2) n=0 X (-1)"16"-1 2n + 1

A: Solution: ∑n=0∞(-1)n·16n-12n+1 If there exists an N so that for all n≥N, an≠0 and limn→∞an+1an=L if…

Q: For each of the following integrals, explain which technique of integration should be used to…

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Q: Graph the feasible region subject to the following constraints: 4z +16y≤ 800 20z+40y≤ 2400 z>0 y>0…

A: use the x intercepts and y intercepts for finding the feasible region.

Q: y'' + 4y = cos2t y(0) = -2 and y'(0) = 0 Solve the IVP using the Laplace Transform.

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Q: 2ydx + x(x² Iny - 1)dy = 0 Ans. y(1 + x²-x²lny) = cx²

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: 12. (The law of sines) (a) Use the Law of Sines or Cosines and the information below to solve for…

A: Given a = 102b = 103A = 45°B = ?

Q: Calculate the following derivative: f d dx cost+t²dt

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Q: 3A using Find the approximate value of differentials if A = 29.5. Round off the final answer to five…

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Q: Suppose a population P of rabbits satisfies the differential equation (dp/dt) = k p², for a constant…

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Q: Use the four-step process to find f'(x) and then find f'(0), f'(6), and f'(8). f(x) = 2x² - 5x+3…

A: Given, f(x) = 2x2 - 5x + 3 To be found - f'(x), f'(0), f'(6), f'(8) using 4 step process

Q: Find the sum of the infinite geometric series. 1 1 1+=+=+=+... 2 4 8 1 1 1 1 1+-+-+ 2 4 8 + ... =…

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Q: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle…

A: Find the transformation that makes the ellipse: (x^2 / a^2) + (y^2 / b^2) = 1, into a unit circle.

Q: Find the arc length of the following curve on the given interval. x = 71³, y=21², osts √/3

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Q: 3. Find the equation of the tangent line to the curve x² + 2y² = 9 at the point (1, -2). Write your…

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Q: 1- Insert four arithmetic means between 3 and 7. 2- Say whether each given sequence is an arithmetic…

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Q: Find the area of the shaded region. f(x)=x+3 g(x)=x²-3 y ◄||||X -8-7-6-5-4-3-2 ◄||||kty 876543 44 8…

A: The region bounded by the curves fx=x+3 and gx-x2-3. We have to find the area bounded by the curves.

Q: (e) An airplane is flying at an elevation of 6000 ft, directly above a straight highway. Two…

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Q: The expression A CSC X sin²x + cos²x sin x is equivalent to C sinxcot x

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Q: Use Green's Theorem to evaluate the line integral of F = (x¹,7x) around the boundary of the…

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Q: Two sides of an oblique triangle are measured to be 6 and 2. If the angle 9 between the two sides…

A: We have to find the rate of the increment of the opposite side.

Q: Use the integration table to find the indefinite integral. (Use C for the constant of integration.…

A: We have to solve given indefinite integral by using a standard formula

Q: mizing Construction Costs An open rectangular box is to have a volume of 768 ft³. If the material…

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Q: Find the k-component of (curl F) for the following vector field on the plane. F = (xey)i + (2ye*)j

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Q: Write the first trigonometric function in terms of the second for in the given quadrant. tan(0),…

A: To write a relation between the two trigonometric functions

Q: Sin (12) २ गठ }}

A: Given expression is sin-1-22   Applying the property of inverse trigonometric functions:…

Q: Given the definitions of f(x) and g(x) below, find the value of f(g(0)). ƒ(x) = 2x² − 5x + 12 g(x) =…

A: We will find the required.

Q: 6) Show that (2xy, y, 2yz + + x², y²) is conservative.

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Q: A professor gives two types of quizzes: objective and recall. He plans to give at least 18 quizzes…

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Q: Use linear approximation, i.e. the tangent line, to approximate √25.1 as follows: Let f(x)=√x. Find…

A: Given function:- fx=x

Q: (2e²y — x)dx = 2e²y (e²y + 2x)dy -

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Q: Write the first trigonometric function in terms of the second for 8 in the given quadrant sec(0),…

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Q: lim x →0 In(1+³) x.sin x²

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Q: Find the area of region enclosed by x = t - t¹, y = t-t², 0 < t < 1 using Green's Theorem.

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Q: Find the Laplace transform of the following function using the definition. f(t) = e³t-1

A: Given function:- ft=e3t-1

Q: 13. Find the line pass through two points (1, 2, 3) and (1,0, -1). You should list three different…

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Q: Find the period, amplitude and phase shift of the function: J = - Sin (4x + 7) + 3

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Q: (c) To find the distance across a river, a surveyor chooses points A and B, which are 10 ft apart on…

A: Given: ∠BAC=105°, ∠ABC=45°, AB=10 ft

Q: Evaluate the definite integral. 6 [²³( 3²/² - -/- ) ** dx

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Q: DQ : Consider the function f(x) = 4x²- of provide the the graph x-axis • use n = 5 intervals gives…

A: Let's find Riemann left and right endpoints sum.

Q: Find the length of the curve. 27 x=91³, y=1²,0sts √3 27 The length of the curve x = 9t³, y = 1² on…

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Q: Approximate the value of the definite integral using the Trapezoidal Rule and Simpson's Rule for the…

A: approximate ∫0164-x23dx, using n=8

Q: Given the definitions of f(x) and g(x) below, find the value of g(ƒ(6)). f(x) = 2x 15 g(x) = 3x²…

A: Solve the following

Q: Find the coordinate of the point P(x,-3), the unit circle using the fact that P lies on using in the…

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Q: If the two equal sides of an isosceles triangle have length a, fine length of the third side that…

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Q: Find the general solution of the given system. -1 X(t) = 2 Need Help? Read It

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Q: REWRITE

A: given that , increasing rate of area of a square be = 48  cm2/ secthen we have to find change rate…

Q: A cylindrical can has a volume of 2π cm3. What dimensions yield the minimum surface​ area?

A: Given that , Volume of cylinder V=2π cm3 What dimensions yield the minimum surface​ area?

Q: make. Then simplify the in not need to evaluate the (a) Jalna da

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