Evaluate: [æ sin(x) da =

Q: Solve the FIRST ORDER LINEAR D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: Use Newton's Method with the function f(x) = x3 - 5 and init X1 = || || x2 =

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Q: Use integration by parts to evaluate the integral: [2³ ln(z)dz = [

A: NOTE: Refresh your page if you can't see any equations. . use the integration-by-parts method take

Q: (a) (b) dv Find and dT dv dM means that in dry air: Write a sentence describing what each of the…

A: v = 273.15BγM.1 +T273.15let 273.15Bγ = a and 1273.15 = bTherefore,v = a1 + bTM dvdT = ddT(a1 +…

Q: 15 If ƒ [ f(x) dx = 1/2 and ["f(x) dx = 5, then [*f(x) dx =? A) 9/2 B) 5/2 (C) 19/2 (D) 25/2

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Q: A consultant estimates that the total weekly computer usage by the company employees to be:…

A: Given query is to find the computer usage for first 14 weeks.

Q: Which of the following statements is/are TRUE? 1. Sese u du = [sec{u- =]du 2

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Q: Evaluate the integral.

A: Given,            ∫042sdsTo find : Evaluate the integral.We know that,             ∫2xdx=2xln2+C;…

Q: Consider the function f(x) = 8x² + 5x6 - 2x¹ — 2. Enter the antiderivative of f(x) Question Help:…

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Q: Prove 3sin x-45 in ³x = Sin (3x)

A: To prove that,3 sinx-4 sin3x=sin3x

Q: ) = ť² + 2t − 1 and y(t) = t³ + 2t + 2? ect the correct answer below: There are not inflection…

A: We will find the required.

Q: Problem 7. series converges or diverges and mention the test you are using. Show all work. ∞ (b)…

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Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

A: Given Graph:-

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy → when x = 1, y = 1

A: Solve the following

Q: Evaluate the definite integral. 2 8xex2 dx   0

A: Given query is to find the integral

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: Use the divergence theorem to find the outward flux of the vector field F(x, y, z) = 3x²i + 4y²j +…

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Q: With today's technology and powerful computers, it is often tempting to think that the curve…

A: Given function:- f(x)=x4 -408x3 +3600x2

Q: Fuck with 48-in.-diameter wheels is traveling at 55 mi/h. Find the angular speed of the wheels in…

A: Given Diameter= 48in  So, Radius= 24in Speed= 55mi/h We know that 1mile=5280 feet and, 1feet=12in

Q: Given f(x) = ax³ + bx² + 9x + c. Find c so that (2,3) is a point of inflection of the graph of f and…

A: Given 1. fx=ax3+bx2+9x+c 2. 2, 3 is the point of inflection and slope of the tangent line is -3.

Q: Problem 5: Find the two points on the curve y = 2x² that are closest to the origin. (Explain why x =…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the given function is a…

Q: if xsinx=4.5, find(-x)sin(-x)

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Q: Find the area of the region enclosed by y=e5x, y=e10x and x=1

A: To find area of the region.

Q: X The quadric surfaces 2y = x² and 4z = x² - y² intersect in a curve. Parametrize this curve. (One…

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Q: 2xD(D-3x)

A: Given: So,                2xDD-3x=2xD2-2xD(3x)=2xD2-2x(3)=2xD2-6x

Q: 2. Find a and b so that y = x³ + ax² + b will have a relative extremum at (2,3).

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Q: The ellipse x² 52 32 82 then y = :1 - can be drawn with parametric equations. Assume the curve is…

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Q: Question Determine the second derivative of the parametrically defined curve represented by the…

A: Given query is to find indicated derivative.

Q: Find the equation for any horizontal asymptotes for the function below 3-7x+x² 2+9x+6x² f(x)=- FOTO…

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Q: Use properties of a right triangle, trigonometry, and implicit differentiation to determine the…

A: By using the properties of a right triangle, trignometry, and implicit differentiation to determine…

Q: Questions 4 and 5 only please

A: Topic:- calculus

Q: Evaluate the indefinite integral. Use C for the constant of integration. S sin (+) √ 1 + cos(+) d+

A: Find the indefinite integral

Q: A ball thrown in the air has a velocity of v(t) = 98 32t ft/sec at time t seconds. Find the total…

A: given velocity is  v(t)=98-32t   given  t=1 to t=8 formula used is  v(t)=ds(t)dt∫xndx=xn+1n+1+c

Q: complementary

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Q: -2x › & (13 + √2²ª ln(1 + 3t¹)dt) equal to ? (b) What is the derivative (13+

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Q: Find the area of the region bounded by the line y = 4x, the curve y = Area = √405 x and the x-axis.

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Q: ㅠ mine the equation of the tangent line at t = to the curve defined 3 metrically by the equations…

A: Topic: application of derivatives

Q: b) Find the point on the curve that is closest to the point (3,0). y = √x

A: formula of distance between two pount is (x1,y1) and (x2,y2)D=(x2-x1)2+(y2-y)2dxndx=nxn-1given  y=x

Q: Consider a function f which is continuous on (-∞, 1) and (1, ∞), has a vertical asymptote = 1, has a…

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Q: Find the work done by the vector field F = xi + 2xyj + 3xyzk on a particle that moves along

A: Let's find work done.

Q: Write the composite function in the form f(g(x)). [Identify the inr y = tan(x5) (f(u), g(x)) =…

A: Solution: Given data, y = tan(x6)

Q: Evaluate the integral dx (3x + 5)²' by making the appropriate substitution: u = dx (3x + 5)² 11

A: ∫xndx=xn+1n+1+c

Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: Given,            y=2x2+8x+2 at x=1 and △x=0.4To find : Estimate △y, round to 3 decimal places

Q: Compute the flux of the vector field F(x, y, z) = 3i + 23 + 2k through the rectangular region with…

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Q: If fºrex f(x) dx = 12, what is the value of A) 12 B) 0 C) 6 √ [ ƒ(6-x) dx? D) -6

A: If  ∫06fx dx=12, then to determine the value of ∫06f6-x dx.

Q: find the area that is bounded by the curve ? = √(10sin(theta)) and lies in the sector 0 ≤ theta ≤ pi

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Q: 15. Integrate f(x): = sin(x²) x using a power series

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Q: Suppose g(x) is given by the following graph. y 1.0 0.5 -0.5 -1.0 -1.5 -2.0 (a) Compute each of the…

A: To find the values of definite integral of function g(x) whose graph is given

Q: Question Determine the second derivative of the parametrically defined curve represented by the…

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Q: d³y 2. 6- dx 5 11 day dx4 d³y d²y -42- +96- dx 3 dx² dy 108 +27y=0 dx

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