x6 cos(x³) |dx=0

Q: In Exercises 1 and 2, compute the solution of the given IVP. 1. d²y dt2 +9y2 cos(3), 2 cos(3t),…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: X X-2 such that (fog)(x) = X +2. Q₁/ let f(x) = , find a function y = g(x)

A: SOLUTION-

Q: 3. Use Stokes' Theorem to evaluate $ F dr, where F = (0, 0, 2), (1, 0, 2), (1, 1, 2), and (0, 1, 2),…

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Q: Test Content Question 9 In evaluating Add your answer 5 dx is same as evaluating lim (In(f(x))).…

A: The integration of the integral is 1/sqrt(x2-9).

Q: Find the equation of the tangent line to 2²-3ry + y² = -1 at (2,1).

A: Application of differential

Q: y = √√2x + 7

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Q: X 3. √ 2x² + 5° * 5dx A. In 2x2 +51 + C A. B. C. ·f sec²x tanx dx A. tan²x + C A. B. C. B. In|2x²…

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Q: Find the area of the surface obtained by rotating the line y = 19x + 6 about the x - axis from the…

A: Area of surface is evaluated.

Q: 5. fx √x + 1dx

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Q: 5. f sin x cos x dx

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Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

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

A: We know that if a=<x,y,z> then its position vector is a=xi+yj+zk.

Q: dx 20.5 x√4x²-49

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Q: 3: Fill in the blanks in the following: 1 3. 4. If = (-12, 4, 8) the position vector of u…

A: Topic:-  vector algebra

Q: - 2500q, what cost is incurred when marginal profit is $0? Given Cost and Revenue functions C(q)…

A: In this question, we need to find the cost when the marginal profit is $0.

Q: 2. Let S be the part of the cone z = √² + y² that lies between z = 1 and z = 3 with upward pointing…

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Q: ex = cosy

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Q: If you evaluate the integral expression S 4x +3|dx the result is Blank 1 (use fraction or decimal in…

A: The integration of the integral is |4x+3| limit from -1 to 1.

Q: FIERNICE. B. Find the general solution of the following 2nd order differential equation: y* +2y + 2y…

A: Solve the homogeneous differential equation

Q: 1. √2x+1 -15 2. So √x+1dx -0.5 3. 5x(1-2 4. fx√x-3 5. fx √x+1

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Q: VOLUME Example: ◆ The region bounded by the parabola y = x¹/2 y = 1, and x=4, is revolved about y =…

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Q: 2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

A: we need to find the area bounded by the given curves.

Q: Use the one-to-one property of logarithms to find an exact solution for   ln(2)+ln(2x2−6)=ln(69)…

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Q: Setup the iterated triple integral that gives the volume of the solid. Do this by properly…

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Q: e. Find the second derivaitve. f''(x) = = f. Use parts b through e to identify maximums as points.…

A: e.fx=2x3+3x2-36x-54f'x=6x2+6x-36f''x=12x+6f. for maximum point f'x is +ve to…

Q: 7. Find the points on the curve y ve y = -x where the tangent line is parallel to the line y=

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: Fill in the blanks the information needed to make the solutions correct.

A: 1)∫23(t3+5) dt2)∫12(x2-x) dx

Q: Derive the following function 7.y=sin(tan sin2x)

A: As per bartleby guidelines we only give first question answers.

Q: Using Trapezoidal method √³x³dx for n = 6 is equal to Blank 1 (use 2 decimal places with proper…

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Q: Question C.) - hit In n 231 n

A: We have to find the series coverges

Q: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

A: Solve the differential equation: (1+x3)dy - x2ydx=0; y(1)=2

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: To find the absolute maximum and minimum values of the given function: fθ=sin θ; -11π6≤θ≤-π2 Here,…

Q: Find 12+ 17 +22+27+· ... + 1522 using a technique from this section.

A: Topic = Sequence

Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

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Q: Plot the following curves in polar coordinates. 50 1. r = 2 + cos (52) 50 2. r = sin 0 + sin³ (5) 3.…

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Q: Draw a picture to find ALL angles in 0 ≤ 0 < 2TT. 1 Ay mple: For tan(0) = = draw a circle. Label the…

A: Topic :-  trigonometry

Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. You also know that a = Then F'(a) = = 12, f(a) = 3, f'(a) = 4,…

A: Fx=fx4 and Gx=fx4a3=12, f(a)=3, f'(a)=4, f'a4=7

Q: fx cos 2x dx

A: Let's solve given integration.

Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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Q: C Let a and C be positive constants. Let be с the upper semicircle (x − a)² + y² = a² y ≥ 0, from…

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Q: dy dt when x = 2. Let xy = 3 and Find dx dt 5.

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Q: (1+x3)dy−x2ydx=0; y(1)=2

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Q: dx 17.S (4x²-9)3/2

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Q: Find the transition points. y = 2x6 =18x4 (Use symbolic notation and fractions where needed. Give…

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Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

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Q: 8. f₁(r + 1)²dr Hint: square first

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y +9y-10y = -40t² -…

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Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: in cacn case. Q2. Find the exponential Fourier series for f(t) Fourier series. (1 0<t<1 = 1 < t < 2…

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