Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations y = 2x², y = 0 and x : 2 about the x – axis. -

Q: 2. [Growth of a tumor] When the radius of a spherical tumor is 6 mm, it is growing at a rate of 0.1…

A: To determine how fast the volume is changing.

Q: Set up the definite integral required to find the area of the region between the graph of y = x y =…

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Q: 5. Determine the values of x for which the function is continuous. x + 5 x² – 5x + 4 3x +1 2x2 – 8x…

A: a. fx=x+5x2-5x+4b. fx=x4-x2c. fx=3x+12x2-8x Note:     Multiple parts are given, we are answer only…

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A: This question is related to Partial derivatives, we will solve it using given information.

Q: dy 3. Find if y = sinh(sec2x) . Simplify your answer. dx

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Q: onsider the following curve. y = x, 0sx<5 Set up an integral in terms of x that can be used to find…

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Q: 3. Compute f (x)dx f(x) = { 2x if x <1 4 if x 21

A: Given: fx=2x if x&lt;14  if x≥1 And I=∫04fxdx The Power rule: ∫xndx=xn+1n+1+C

Q: 8. Find i • i 55° lū| = 7| = 31

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Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: We can solve this as follows:

Q: Find 4 [3f (x) – g(x)]dx = i if 4 4 |r)dx = 4 and g(x)dx = 20

A: This question is related to definite integration, we will solve it using given information.

Q: 4. The temperature, T, in "C, of a side of beef t hours after it is put in the freezer is given by…

A: Given

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Q: Find the arc length of the graph of r(t) = ev2ti + e-V2tj + 2tk, 0<t< v2 In 4 NOTE: Enter the exact…

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Q: Use the chain rule to calculate the first derivative of the following 19. (2x + 6)3 20. In (3x - 2)…

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Q: Write the equation of the hyperbola with centre at (4, 2), vertex at (4, 5), one asymptote with…

A: To write the equation of the hyperbola with center at 4, 2, vertex at 4, 5, one asymptote with…

Q: can you check up the answer? it is not right

A: I have rechecked the work using calculator. It is correct.  Using calculator I have got: limn→∞…

Q: 9. Is the function defined by gon3 – 3 if 2. continuous at r= 2? differentiable at x = 2?

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Q: Evaluate the integral 5х — 2 dx (x + 3)2

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Q: 1. Find the moving trihedral and the curvature at any point of the curve R(t) = cost î + sint j + k.…

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Q: flx) '(^) f'18)= xcas (28)

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Q: 10) s) =-2 -2

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Q: 4e-1dx = 7.96 × 10° O True O False

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Q: Set up the definite integral required to find the area of the region between the graph of y = 15x +…

A: here i am giving my handwritten solution.

Q: тх e COs nx dx

A: We have to evaluate the integral  ∫emx cos nx dx.

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Q: (3y² + 10xy²) dx + (6xy – 2 + 10x²y) dy = 0 %3D

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Q: dy/dx - y = xy5 = 0 Ans. 1/y* = -x++ ce 4*

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Q: (b) y = e=* + + In(3z + 1) (c) y = (cos z)° + sin(2*) (d) y = #° arcsin(2*)

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Q: integral od pi/4 0 sin^5 θ dθ

A: A detailed solution is given below

Q: The graphs of the functions f and g are shown below. If u(x) = f(g(x)), find u (4). 3. 2- 2. 3.…

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Q: Evaluate the indefinite integral. 9x xp- x² – 4

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Q: Evaluate the integral (Trigonometric Substitution) x*dx (x² + 1)²

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Q: Evaluate the integral 5х — 2 dx (x + 3)2

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Q: Draw the graph, identify the region, and sketch the representative rectangle. Label the graph…

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Q: 1 |(a*x6 – x®)&dx – x®)ždx TRIGONOMETRIC SUBTITUTION a? – u? sub. to u = a sin 0 a? + u? sub. to u =…

A: To determine the substitution for evaluating the integral.

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A: The given curve,   y=x33+14x, 1≤x≤2

Q: тх sin nx dx

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Q: 6 of 19 Write the equation of a circle with centre (-8,-3) which is tangent to the x-axis. O (x –…

A: A detailed solution is given below

Q: sin x Evaluate: / dx (cos x) 3 1. tan x- sin x + c an'x + C X, sin'x + C X. 3. 2 4. log (cos2x) +c…

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Q: Given any second-order non-homogeneous differential equation, describe how you would decide between…

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Q: 1 7. (x dy – y dx) = 0 x² + y?

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Q: c) Use the velocity function v(t)= 2e2m/s to compute the distance traveled by an object over the…

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Q: Evaluate ||e+ dA where D is the triangle with vertices (0,0), (-2,4) and (8,4). D

A: To find the value of given double integral.