Use the differential dV to estimate the change in volume of a sphere when the radius changes from 8 to 7.4. Round your answer to the nearest tenth, if necessary. Recall that the volume of a sphere is r, where r is the radius of the sphere. Provide your answer below:

Q: Consider the value of t such that 0.01 of the area under the curve is to the left of t Step 2 of 2:…

A:

Q: Approximate the area under the curve y = x² for 0 < x < 1, using the LCG with (a) a = 2, b = 0, m =…

A: Given the curve y=x2, 0≤x≤1. The linear Congruence Method generates a sequence of random numbers Ri,…

Q: Schve the linear Differential Equatioń Cindicate the intrgrating factor o subotitudion, where…

A:

Q: What is the decimal value for the left-hand approximation of the area under the curve f(t)=t^2 from…

A:

Q: ind the area under the given curve over the indicated interval. 15) y =ex; [1, 2] 4. 3. 2 A) e2 -e…

A: We have to find the area under the curve.

Q: dX If the side of a cube is expanding at the rate d = 2t cm/sec, and X(0) = 3 cm. What is the volume…

A: This question can be solved using the concept of differential equation.

Q: valuate the Integral S du residues and any other nmethod which can be applied to solwe thes…

A: Given integration is                                             I=∫0∞1x2+12dx now we put…

Q: Determine the Equation from the information below: HA: none X-Int: (0, 0) VA: none Y-Int: (0, 0)…

A: The graph of a straight line crosses the x axis at the x-intercept and the y axis at the…

Q: Find the area inclosed between the curve y rom x = 0 to x = ? -(answer with dra 2

A: Introduction: The formula for the area between two curves f(x) and g(x) from x=a to b is given by,…

Q: Find the area between the two curves in the following figure: r= 2a+asin 20 D r= 2a+acos 20 For a =…

A: Given curves r =2a+asin(2θ) And r= 2a+a cos(2θ) To determine the area between the two curves

Q: Use the Trapezoidal Rule to approximate the value of the definite integral x*dx with n = 4. a.…

A:

Q: Employ trapezoidal rule to approximate value of the integral Si f(x) dx using the table given below.…

A: NOTE: As per our guidelines we are supposed to answer only one question. kindly repost other…

Q: Let A be the area of a circle with radius r. If dr/dt=5, find dA/dt when r=5.

A:

Q: use method of false position to find the Salution accurate to within ét2+2Cos x-6=0

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: Use a change of variables to evaluate the following integral. sec 19w tan 19w dw What is the best…

A: The given integral is ∫sec 19w tan 19w dw

Q: Find the area between the curve :       , and the positive semi-axis "X".

A: Given curve is y=e-xcos(x)

Q: Find a formula for the area A(w) of the triangle bounded by the tangent line to the graph of y = In…

A:

Q: Find the approximate area under the curve of f (x) =x+1 from x = 0 to x = 2, using 4 left-endpoint…

A:

Q: (STス)ス3da

A:

Q: Find the area between the curves y = e* and y = ex (shown below) from x = 0 to x = 2. (Leave the…

A:

Q: A) Suppose that Clara runs faster than Kathy throughout a 1500-meter race. Let C'(t) be Clara's…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: ∫10∞56x2-16dx

Q: Use Simpson’s Rule with to estimate the arclength of the curve. Compare your answer with n=10  the…

A:

Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. 1 7 dx 40) 1 +x 1747 A) 720 1171…

A: Using trapezoidal rule.

Q: Find the area under the curve y = e' eº between the linest = 0 and t = 1. 12e + ee None of these ee…

A:

Q: Find the area between the following curves. = -3, x 2, y ex, and y = 5 - ex Area (Type an exact…

A: To find the area bounded by the following curves.

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A: Given that ∫-3023e1xx3dxSolution :∫-3023e1xx3dxlet ,1x=t-1x2dx=dtat x=-3,t=-13x=0,t=∞substituting…

Q: Find the area between y = e" and y = e3² over [0, 1]. A =

A:

Q: dr Let A be the area of a circle with radius r. If dt = 4, find dA dt when r = 3.

A:

Q: at what is the intlegral . cach point, where k is constant? a

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Consider the value of t such that 0.01 of the area under the curve is to the right of t. Assuming…

A: Given Information Significance level =0.01 Degrees of freedom = 28 t-value = 2.467140098( Using…

Q: Let y = cosh(lnx?) then find y'. %3D O a. – sinh(lna?). 2 O b. - sinh(2a. Ina?) sinh(2z.Inz) O d. 1

A: Solution: The objective is to find the derivative of the given function

Q: Find the area between the curves. 3x x=0, x=3, y=2 e, y=e + e 3x The area between the curves is…

A:

Q: у? (1 — х?)dx + x(х2у + 2х + у) — 0

A: Given equation is: y21-x2dx+xx2y+2x+ydy=0 and y2x+y2dx+xy2-xdy=0 Now, solve the equation…

Q: O Use differentials to find a formula for the approximate volume of a thin cylindrical shell with…

A:

Q: Find the area under the curve: yA 4 y = 4 – x? 1 1

A: We find area by integration .

Q: Find a formula for the area A(w) of the triangle bounded by the tangent line to the graph of y = ln…

A: Given  y=ln x11y=11(lnx) We need to find out the tangent line. First we find out the slope To find…

Q: Suppose that a dimension x and the area A = 2x² of a shape are differentiable functions of t. Write…

A: We have to find the term

Q: Tind the area enclosed by Mhe given curve, Vse Wallis' Formula

A:

Q: approximate the area under the t-curve ,with degrees of freedom 29, to the right of t=2.462

A: The degrees of freedom 29, and t=2.462

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact…

A:

Q: r= 2a+asin 20 D Br= 2a+acos 20 For a = 5

A:

Q: 10 in. 60° F G 1) What is the Area of the Sector ahove? E.

A:

Q: The curve y = √x + 2 is revolved about the y-axis from x = 1 to x = 8, find the surfac area.

A: Here we have to find the surface area.

Q: Let A be the area of a circle with radius rr. If dr/dt=5, find dA/dt when r=5.

A: See the details solution in below

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of y – T = 2 and I = 4. In…

A:

Q: Determine the area of the region between the two curves in the given figure by integrating over the…

A:

Q: Use the shell method to calculate this volume in a different way. You should get that the volume…

A: Draw the curve y=e-x2, to identify the limits of integration from the region. Rotate the curve…

Q: Write a differential formula that estimates the change in the volume V = of a sphere when the radius…

A: