2. Find the volume of the solid generated when the region is bounded by y = sinx,0 ≤ x ≤; about y = 2.

Q: Hello, I'd like to know how you did the first step. I don't understand how you got there. Thanks

A:

Q: 4. Setup an integral expression for the perimeter of the ellipse x² 3 Hint ds = x' (t)² + y' (t)² dt…

A:

Q: Use the given function and the given interval to complete parts a and b. f(x)=2x³-33x² +168x on…

A: Given:  on To Find: (a) To find the absolute extreme values of f on the given interval when they…

Q: = cos(8/3), 8 = π

A: The given equation is As we know

Q: Find the derivative of y with respect to x. 기 dx y =In 1 ...

A:

Q: Σ n=1 S 1 8 + en

A: The given series is

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

A:

Q: Suppose the daily supply equation for noise cancelling wireless headphones is given by P = S(x) = 70…

A:

Q: 7. DETAILS SCALCET9 16.5.017. f(x, y, z) = Determine whether or not the vector field is…

A: The solution is shown in step-2

Q: 9 Find the linearization of f(x) = x at a = 8. Use it to approximate 8.1 (Show your work)

A:

Q: Find the arc length parameter along the curve from the point where t=0 by evaluating the integral s…

A:

Q: Find the limit of (-1)^x as x approaches to infinity

A:

Q: Find the values of x for which the series converges. (If the answer is an interval, enter your…

A:

Q: he answer must be to the nearest hundred.

A: The decreasing exponential equation is given by,Half-life is determined by the time after which the…

Q: Solve the initial value problem. ds 36t(9t²-7)³, s(1) 14 2 dt The solution is s =

A:

Q: Solve the following initial value problem over the interval from t = 0 to where y (0) = 1. dy dt…

A: Solution is given below.

Q: A train is moving west along a long straight track toward a station. An observer is located at a…

A: given a sketch of train and station

Q: 7 A bacteria culture grows with constant relative growth rate. The bacteria count was 400 after 2…

A: Given:Bacteria count was 400 after 2 hours and 25600 after 6 hours

Q: Test the series for convergence or divergence using the Alternating Series lest. Identify bn B…

A: The given series .The aim is to check the convergence of the series.

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A:

Q: A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

A:

Q: Write the formula for Newton's method and use the given initial approximation to compute the…

A:

Q: Start from the power series of the function g(x) = ₁ and then from there, step by step get to the…

A:

Q: Ohm's law for electrical circuits like the one shown in the figure states that V=RI. In this…

A:

Q: The vertical side of a form for poured concrete that weighs 140.7 pounds per cubic foot is shown in…

A:

Q: Give a geometric description of the set of points in space whose coordinates satisfy the given pair…

A: Given that the set of the points in space whose coordinates satisfy the given pair of equations

Q: The average value of the function f(x)=x²-19 on [0,9] is

A:

Q: Find V. (F x G), if F(x, y, z) = 16xi +j+8yk and G(x, y, z) = xi + yj - zk.

A:

Q: Evaluate using integration by parts. І 0 5xe4x dx

A: The given definite integral .The aim is to calculate the integral value.

Q: The point P is on the unit circle. If the y-coordinate of P is x = and P is in quadrant II, then

A: The point P is on the unit citrcle. If the -coordinate of P is , and P is in quadrant II, then to…

Q: - Find a unit vector in the direction in which f(x, y) = 5 cos(5x – 3y) decreases most rapidly at…

A:

Q: Evaluate a rational limit using algebra Evaluate giving your answer in exact form. 4x4 x5 lim 24…

A:

Q: A Math 110 student decides to make quarterly payments of $1,000 into a retirement account paying 2%…

A: The future value after t years compounded continuously is given as follows

Q: Find a unit vector in the direction in which f(x, y, z) = x³z²+y³z + z − 1 increases most rapidly at…

A:

Q: 8 S ( ² − 5 + £ ) da 6 dx X x² x³

A: I=∫(8x−5x2+6x3)dx

Q: Find the following integrals. If you use trigonometric substitution, please simplify using the…

A: The given integrals are

Q: Find the equation for the plane through the point Po= (8,3,3) and normal to the vector n = 5i…

A: Given that the plane passes through a point  and normal vector

Q: The demand and supply functions for Penn State women's volleyball jerseys are: p = d(x) = -x² - 23x…

A:

Q: 116 55° X- 38°

A: To solve for .(1) (2)

Q: Problem 5: Let f(x) = Σ n=1 4n Find the IOCs of f, f', and f".

A:

Q: The graph of a sine function with a positive coefficient is shown in the figure. AA. -2 2 (a) Find…

A: A graph of sine function is given.The objective is to find amplitude, period, phase shift and the…

Q: Use Green's Theorem to evaluate the line integral along the positively oriented closed curve C. fe…

A: ∮cex2dx+(sin⁡y−3x2)dywhere C is the boundary of the region bounded by the parabolas y=x2 and…

Q: 2 Find the equation of the tangent line to the given curve at the specified point: (Show your work)…

A:

Q: Graph the equation. Identify the focus and directrix of the parabola. y² =

A: y2=−4xcompare with y2=−4ax

Q: Find the derivative of y with respect to x. y = (6x + 5)* dx 11

A: The given function is

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: The graph of a function increases in the interval at which its first derivative is positive and the…

Q: eu (1-eu)² - du 2

A: Given

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few…

A:

Q: x 9e + dx 4

A: I=∫9ex4dx

Q: Find the curl of the vector field at the given point. F(x, y, z) = x²zi - 2xzj + yzk; (3,-9, 9) 15i…

A: To find the curl of the vector field at the given point.;