Find the exact area of the surface obtained by rotating the curve about the x-axis y = √8-x, 2 ≤ X ≤ 8

Q: Consider Ohm's law, V = IR, where V is the voltage, I is the current, and R is the resistance. Solve…

A: answer is  -0.000155Explanation is given below.Explanation:

Q: The point (1,1,1) is connected to the origin by a curve, C, formed by the union of two lines: the…

A: The objective of the question is to find the parametric representation of the second part of the…

Q: Find the partial derivatives of the function მა მო მო მs მო Ət w = 9r2 + 3s2 + 32 G

A: ∂r∂w​=9r2+3s2+3t2​9r​∂s∂w​=9r2+3s2+3t2​3s​∂t∂w​=9r2+3s2+3t2​3t​     Explanation:

Q: Given log x =α, logx x =ẞ, log¸x =y, log¸x = 0, and x 1, find log abcd empt left to earn the full…

A: Thus, \log_a(abcd) = 1 + \frac{1}{\beta} + \frac{1}{\gamma} + \frac{1}{\theta}.Substituting these…

Q: * x f(x) f'(x) 1 3 1 2 -1 3 3 3 3 5 -2 4 -2 4 5 4 -2 The table above gives values of f and its…

A: a)we can estimate the value of f'(1.5) to be 1.b)Why must there be a value c for 1<c<3 for…

Q: #9: Use the method of variation of parameters to find a particular solution to the following…

A:

Q: > Next question dy Given the equation below, find dx 9x+2xy + y = 12 dy dx = - 18x7 (4+5x37) 2x45…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The exact area of the parallelogram is 726​. The approximate area of the parallelogram is…

Q: 15. Sketch the graph of a continuous function f with: (a) f(1) = 3, f(1) = 0 and the point (1,3) a…

A:

Q: Find the values of x, y and z that correspond to the critical point of the function: +5g f(x, y) =…

A: .

Q: Find the derivative of the function. x+2x-2 y= 2 x-2x+2

A: y=x2+2x−2x2−2x+2y′=ddx(x2+2x−2x2−2x+2)Using the quotient…

Q: Continuous Compound Interest Jesaki Bank offers a 10-year CD that earns 2.5% compounded…

A: 1) The investment will be worth approximately $15,963 at maturity.2) It will take approximately 4.1…

Q: Evaluate √ x²ekx dx. (Helpful hint: √ ekx dx = €** + C) ekx k

A: To evaluate the following integral.

Q: Show that the pyramids cut off from the first octant by the tangent planes to the surface xyz=5 at…

A: Given surface equation The equation of tangent plane to the curve at point  with normal vector  is

Q: Given the graph of f, find any values of x at which f' is not defined. Q 2 G OA x=-2,2 OB. x=2 O c.…

A: The derivative of the function is undefined when:The function has a vertical asymptote.The function…

Q: Find the derivative of y = cos A with respect to x. The derivative of y = cos ( 0- with respect to x…

A:

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to 4 decimal places?

A: The objective of the question is to round the number 536.48 to 4 decimal places.

Q: What does the funtion N = grad(s) mean.  What does grad do ?

A: The function N = grad(s) is a mathematical expression that is used in the field of calculus,…

Q: Let f(x,y) = x2+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…

Q: Q.2

A: The answer is given below.Explanation:

Q: Equations are given whose graphs enclose a region. Find the area of the region. (Give an exact…

A: The area is:A=12253​Explanation:The given curves are: f(x)=x3,g(x)=x2+6x To visualize the bounded…

Q: Hello Continuing with this problem, shown in the picture, where the parameterization for S was…

A: Hence, the surface area of the parametric curve is 2​πExplanation:Step 1: Step 2:Step 3: Step 4:

Q: dy dx = dy 33 dx = y = ln 3x14 +1 y = x cos(x)

A: The solution and explanation of the given problem are attached below.Explanation:Step 1:

Q: Find f'(x). f(x)=-6 Inx+13x² -7

A: The objective of the question is to find the derivative of the function f(x) = -6 ln(x) + 13x^2 - 7.

Q: The temperature at a point (x, y) is T(x, y), measured in degrees Celsius. A bug crawls so that its…

A: Find your answer below.Explanation:Step 1:    Step 2:we need to use the chain rule to approximate…

Q: imit: 6-xy lim (x,y)-(2,2) x²+2y²

A:

Q: Problem #1: By Taylor's theorem, we can find a Taylor polynomial P3(f) of degree 3 for the function…

A: Given: To Find: To calculate the coefficient .

Q: help with question.

A: The total profit for the second 6-month period is $18660.Explanation:We find the total profit for…

Q: Question The graph below represents the function g (a) and the graph gives selected values for the…

A:

Q: Differentiate the following function. f(x)=-6-3x+3e* f'(x) = ☐

A:

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: fxx= -98 sin(7x) cos(2y) fyy = - 8 sin(7x) cos(2y) fxy = - 28 cos(7x) sin(2y) fyx = - 28 cos(7x)…

Q: Solve the initial value problem below using the method of Laplace transforms. y" + 16y= 96t² - 48t+…

A:

Q: I need help with 45.

A: (45) We have proved that, f(a+b)=f(a)+f(b)Function : f(x)=x2−1 Example : f(2+3)=f(2)+f(3)⇒24=11So,…

Q: dx Assume that x = x(t) and y = y(t). Let y=x3+2 and =5 when x=3. dt dy Find when x=3. dt dy…

A:

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral with n -…

A:

Q: > #11 Given z = f(x,y) = 3xy , у find the equation of the tangent plane to the graph, when x=1, y=3.

A: Equation of tangent is z=4x−34​y−2Explanation:

Q: Q4\ Sketch the plane curve represented by the vector valued function = (3 cost)i(4 sint)j ŕ(t) NA…

A:

Q: Can you provide me with an example (with solutions and the process involved) of how to approximate a…

A: The objective of this question is to understand how to approximate a function using Taylor series…

Q: 1an with a₁ = 2, an+1 = an with a₁ = 3, an+1= 1+sin(n) n 3n-1 2n+5 an an v. vi. n=1

A: (v) Given that the series is                  Thus, the series is convergent by the ratio test.

Q: Solve the system of equations for the intersections of the two curves{4�2-55�2=4�=4�List the…

A: We can solve this system of equations by utilizing the given information and simplifying the…

Q: Find the surface area of revolution by rotating y=sqrt(x) where x is on (0,4) about the x axis

A: The surface area of revolution of curve  about x axis over the interval is The given curve equation…

Q: Let 60, 61. What is the derivative of the function y = log(x)? 1 -In(x) In(b) b* In(b) 1 In(b) X e*…

A: Option C is the correct option.ln(b)⋅x1​ Below in the explanation part there is detailed solution of…

Q: e exact area of the surface obtained by rotating the curve about the x-axis. 1 1 y = + ≤ X ≤ 1 6 2x…

A:

Q: Mercury moves in an elliptical orbit with the sun at one of the foci. The length of the half of the…

A: Length of half of major axis = 56996838 kilometersEccentricity= 0.2056

Q: You are looking at a balloon that flies straight up. Your horizontal distance from the balloon is…

A: Let the height of balloon is  m and x m be the horizontal distance The figure

Q: 0218 X 17 (2) 600 x 38 131 784 X 44 (47664 X 18 157146X1

A: We need to perfrom multiplication.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Therefore, the required answers are a) 117.694561 degreesTo get this in radians, multiply it by…

Q: Calculus I May I please have the solution for the following question? Sketch an accurate graph…

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: Evaluate the integral using partial fraction method (3x² + 2) dx (x+2) (x²+4)

A: The given integral

Q: #1: For which of the cases below do the given functions form a fundamental set of solutions of the…

A: Summary: - (i) does not form a fundamental set due to missing different exponent solutions and…