Use the trapezoidal rule with n = 20 subintervals to evaluate I = -5 sin² (√0× t) dt

Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

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Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: Find the indefinite integral: O 10sin 3x - 20 cos 2x +6 e5x + C 90sin 3x 60 cos 2x + 150 e5x + C…

A: The objective is to find the indefinite integral.

Q: A man 5ft tall is walking along a straight line at a rate of 3ft/s towards a lamp post that is 15ft…

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Q: ·S. Given : dx. If we let the substitution =√√√4x-5, the resulting integral becomes 4x-3 (2u²+11) ^…

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Q: Q2: A. Determine if p = 1-3k and q = 61-3j-4k are parallel, orthogonal or neither. B. Find the…

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Q: Find the antiderivative F(x) of f(x) = 8(sec x)(sec x – 4 tan x).

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Q: Calculate (31-2). 051 0142 743

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Q: Calculate the inverse Laplace of: (s-1)e-2 s²+8s +13 ^{²

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Q: The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the y-axis is…

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Q: Evaluate the integral (1 + 2y)ªdy.

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Q: √9-2³ x² + y² dy dr into a double integral in polar form. TITE f(x, y, z)dV, where f(x, y, z) = x²yz…

A: We can set up the triple integral.

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

A: We want to find slope at the point x=25

Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: (e) Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: Write the equation of the line. == (0, 2) is on the line. Select one: O a. -3x + 5y = -10 O b. 5x -…

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Q: Evaluate the integral. (Use C for the constant of integration.) [5√16. 5√ 16 + ex dx

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Q: π A region in the first quadrant is bounded by the curve y = 1+ sin²x, the coordinate axes and the…

A: Given problem:-

Q: 3. 4. If = (-12, 4, 8) the position vector of u is...........

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Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…

A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…

Q: Find all points on the graph of f(x) = 9x² - 5x+5 where the slope of the tangent line is 0. The…

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Q: Given: ·S- takes the form 20 A 3 8x+1 dx. If we let the substitution =√√4x-5, the final answer 4x-3…

A: Integration

Q: bject is dropped from a 150-foot-high building, its position (in feet above the ground) is given by…

A: Please refer to the image below

Q: y = x², y = 0, x = 1, and x = √5

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Q: Question 15 The region in the first quadrant bounded by the graph of y=8-x3/2, the x-axis, and the…

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Q: Which of the following is not an improper integral? # of th al

A: We know that, An improper integral is a definite integral that has either or both limits infinite or…

Q: Let K/L be ideal of quotient ring R/L. If K is prime ideal and contains L, then K/L is prime ideal.…

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Q: 6. y = x Arccsc (¹)

A: we can find the y' as below

Q: Simplify to an expression involving a single trigonometric function. Please show work so i can…

A: SOLUTION-

Q: √9-22 1. Sketch the region of integration first, then transform Finally, evaluate the resulting…

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Q: Find the tangential and normal components of the acceleration vector. r(t) = 4(3tt³)i + 12t²j aT an…

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Q: 7. Find the Taylor series for f(x) = ln(9 – 3x) centered at 1. Write the final using sigma notation,…

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Q: === =+ = ²x² 6 2x Find the arc length given: y = - on the interval [1,2]

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Q: f' (æ) =Vx+, f(0)=2 f"(x) = 3x² 16x + 16, f'(0) = 1, ƒ(0)

A: Topic:- application of integration

Q: Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y…

A: Given query is to convert polar to rectangular coordinates.

Q: Evaluate Th - dx ¹1+x

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: 19 A curve with polar equation r = 8 sin 0+17 cos 0 represents a line. This line has a Cartesian…

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Q: B. Find the general solution of the following 2nd order differential equation: y +2y + 2y = 0

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Q: dy = 2e-2y, y(0)= 5. Solve the initial-value problem: dx 3 Write Answer In Simplest Form And Show…

A: We need to solve D.E.

Q: Assume that y is a differentiable function of r such that y² = x² + 4x sec y. Find y' by implicit…

A: implicit differentiation

Q: Evaluate the integral. (Use C for the constant of integration.) It t sin(t) cos(t) dt

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Q: Given cost and price (demand) functions C(q) = 100q+43,000 and p(q) = -2q + 890, what profit can the…

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Q: 9. Find the interval of convergence of the series n=1 5" (x-3)" √√n

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Q: Find the area bounded by the curve r = 2 - cos Upload Choose a File

A: area

Q: Find the area bounded by y=√x and y= 2 (A) 2/3 (B) None of these C) 4/3 (D) 10/3 E 5/3

A: topic- area bounded by curves

Q: in the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is negative. A The roots are…

A: As we know that; For the quadratic equation Ax2+Bx+C=0 (a). If D=B2-4AC>0,  the roots are real…

Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: a particle moves a long a straight line with equation motion s=t^2-3t+2. find the value of t at…

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