Find the volume of R using shell method, when R is bounded by y = 4x - x², y = 0 about the line x = 5.

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…

A:

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

Q: For each system below that is linear, determine whether it is consistent. (a) 3x₁ - x4 = 1 3x₁ + 3x₂…

A:

Q: All continuous functions have antiderivatives. (A) True (B) False

A: all continuous functions have antiderivative.  But noncontinous function doesn't have. It's true

Q: 0,000? e marginal revenue is dollars per item. necessary, round to the nearest integer

A:

Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

A: We have to find all values of k for which the given augmented matrix corresponds to a consistent…

Q: Convert the Cartesian coordinate (-1,-3) to polar coordinates, 0≤ 0 0 r = 0 =

A:

Q: Which of the following is not true? A √ in(x²) dx = lim_²in(x²) dx А ₂3 3 dx dx B S²³² √₁ In(x²)…

A: Just use the definition of improper integral of first and second kind and find the required…

Q: f:R+ → R f is a strictly decreasing function. 3 1 f (x) · f ( f(x) + 2x 4 f (9) = ? 1) 3) 1 6 4) 1…

A: Answer is given below.

Q: In evaluating dx , is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=4.6. C-3+…

A:

Q: 3- Air at 25°C and 100 kPa at a relative humidity of 75 percent. The parti pressure of water vapour…

A:

Q: 1. dx x-19-x

A: Given :∫dxx49-x2

Q: xp zx — 9L^gx f

A: Evaluate the ff. by integration by parts.

Q: vy B. Find the derivative of function f(x, y, z) = 3e* cosxy + ex² + Inzx at point P(1,0,) in the…

A:

Q: 6. (10 x 40) dx - x ²-8 x + 15 7. 10 cot 2x dx 8. (e 5x - e 2x + 8) dx 2 e 5x

A:

Q: If you evaluate the integral expression S_12x+1|dx₁ |2x+1|dx the result is Blan

A:

Q: 14, which 12 54 32 9 27 of the following rule defines y as a function of X 13 18 101 69 350

A:

Q: In evaluating 2dx E, is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=1.13…

A: Integration

Q: Cynthia's investment of $81,200.00 in a fund matured to $160,353.29 in 7 years. If the interest in…

A: We want to calculate period and nominal interest rate.

Q: 200 J + Corxiy_Tanx sinx dy

A:

Q: s Find the exact slope of the tangent line to the parametric curve π t = x = 9 cos(t) y = 4 sin(t)…

A:

Q: Solve the differential equation: (x+y+2)dx-(x-y-4)dy=0

A: Solution

Q: A bicycle with 20-inch diameter wheels is traveling at 17 mi/h. Find the angular speed of the wheels…

A: To find out angular speed and number of revolutions per minute.

Q: Which of the following is not true? Ⓒ √ 4dx √x(x+6) c lim dx ⒸS₁² 25² + x² ² m 25-x2 B dx c-5-0…

A:

Q: Iff is continuous on [a,b], then rtf(x) dx = π f(x) dx 1 A True B) False

A:

Q: Consider a right triangle with a side of length a opposite angle A. a side of length y opposite…

A: Given:  A triangle ABC right angled at C sinB=13

Q: If an investment grew to $13,500 in 3 years and the interest amount earned was $1,531.34, calculate…

A: To find out the compound interest.

Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: 4 35₂² In evaluating 2 dx x√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A:

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x 2…

A:

Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: Find f^-1(x) for f(x) = 9+8x f^-1(x) = ____

A: Topic = Function

Q: Find the surface area if C = {(x, y): 1 ≤ x ≤ 2,y = about the x-axis.

A:

Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A:

Q: e2-s L-1 (5(5²-53) O [(-1/3) + e^(4(t-1))/3] e^2 U(t-1) O [(-1/3) + e^(3(t-1))/3] e^2 U(t-1) O None…

A: We have to find the inverse Laplace transform of the above expression.

Q: Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A:

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: We will use simple trigonometric formulae to solve this question.

Q: Find the area of the region bounded by the curve y=x²-3x²-x+3 and x-axis from x=-1 to x=2. (Note:…

A: To find the area of the region bounded by the curve y=x3-3x2-x+3 and x‐axis from x=-1 to x=2.

Q: Using Simpson's method 1 √xdx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: using the simpson's method ∫01xdx for n=4.

Q: Create a bucket by rotating around the y axis the curve y = 2 ln(x - 2) from y = 0 to y = 4. If this…

A:

Q: Consider the system: a) show that [3t+4] =-2t+1 4 Z t-1 b) golve (*) with the initial condition.…

A: Solution

Q: The paraterized curve below is rotated abour the x-axis. Find the area of the surface. x = cos³ (0)…

A:

Q: x6 cos(x³) |dx=0

A: Follow the procedure given below.

Q: What monthly compounding nominal interest rate is earned on an investment that doubles in 10 years?…

A: We have to find the interest rate.

Q: A) Link between plane and line in the differentiation. 7) Find the aquations of alono pocinh the…

A: Link between line and plane.

Q: crowave oven is stands for the number of units produced. 100 000 C(x) = 0.002a³-0.06x² +120x+5000,…

A: Please refer to the image below

Q: For what value of the constants A and B is the function f continuous on (-∞, ∞)? A√x+6-1 for x 3

A:

Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

A:

Q: 1 -dx= -2 X A) True B) False 3 100 8

A:

Q: Question 1 Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b], then [f(x)dxz g(x)dx…

A: