5) Approximate x²-1|dx with a right-endpoint Riemann sum using four equal subintervals.

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A: SOLUTION-

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A: here distance we have to find  a = 9.8 v0 = 5 t = 5sec S=?

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Q: Let f be defined at all real values of x and x = -3 is one of its critical numbers. If f" (x) = 2x +…

A: Given, f is defined at all real values of x. x=-3 is one of the critical points. f"(x)=2x+1

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A: We know that a differential equation of the form y'+P(t)·y=Q(t) has Integrating Factor (I.F.) =…

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Q: Evaluate the following integrals: a) b) ex² Jy/2 dx dy dy dz dx 2y

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Let's solve.

Q: Solve the given differential equation. All solutions should be found. dy x5 - 4y dx X NOTE: Use c…

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Q: Consider the function f(x) = 3 - 3x², 3 - 3x², 4 ≤ x ≤ 1. The absolute maximum value is and this…

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Q: Use a graphing utility to sketch the intersecting graphs of the equations and determine whether or…

A: topic- equations and their slopes

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Q: For each of the following, find (i) the direction of P₁P2 and (ii) the midpoint of line segment P₁…

A: Given, P1(1,4,5)P2(4,-2,7) Therefore position vector of P1 and P2 is p1=i+4j+5kp2=4i-2j+7k

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: The given curves are; x+y=5, y=0, x=0   So, the bounded region is as shown below.   Apply the disk…

Q: The function f(x) Find it. X = = (4x4)e5 has one critical number.

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Q: (x² + 4) dy 山 3. y(2) = 0

A: we know that ∫dxx2+a2=1atan-1xa+C,  where a>0 see below the answer and calculation

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A: Vectors dot product and equation of plane

Q: дz For z = x² + xy³ ; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 Əw

A: z=x2xy3, x=uv2+w2, y=u+ve2at u=2, v=1 and w=0, x=2×12+0=2y=2+1e0=2

Q: √ √ 1 √x² - 2x + 5 dx

A: Indefinite Integration

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Q: Given a second order differential equation d²x dx 3: + 2x = 2e³t dt² dt dx where t = 0, x = 5 and =…

A: The given differential equation is: d2xdt2-3dxdt+2x=2e3t  where x0=5, dxdtat t=0=7.The above…

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

A: Let's find volume of solid bounded by curve and plane by using double integration.

Q: hand written plz 1 5. Let D be the region bounded by the lines y = x, x=3 and the curve y = r (a)…

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Q: luate 2 Af ² (x-1) 25 dx 7 S² √4+3x dx 1 x² (1+22³)5 dx esinx cosxdx O 플 the definite O inte

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Q: Find the area between the curves f(x) = −x² + 4x and g(x) = x² - 6x + 8.

A: Basic identities of integration are used

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Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

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Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

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A: Let's find minimum,maximum and inflection point of given function.

Q: 2 show that V(x, y) = x 'f (2x+y) is the general Solution of : Xav dx 2x du ду = V

A: We can show given function is a solution of the given equation .

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Q: Question Define R as the region bounded by the functions f(x) = e and g(x) = e between x = 0 and x =…

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Q: Solve for y at x=2: (x5 + 3y) dx - x dy=0; x=1, y=2

A: Rewrite the differential equation in standard form and solve it

Q: Solve for y at x=2: (x5 + 3y) dx - x dy = 0; x=1, y=2

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Q: Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx − (2xy + x²) dy…

A: A detailed solution is given below.

Q: fs = t³ - 1250t², when will the acceleration seconds)? O 5 seconds O 3.5 seconds O 4.5 seconds O4…

A: Using differentiation we get acceleration

Q: Find the length of the entire perimeter of the region inside r = 18 sin but outside r = 3.

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Q: A balloon is released from the ground 100 meters from an observer. The balloon rises directly upward…

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