Find the volume of the region bounded by y = x², y = 8x, x = 0, and x 2 rotated around the x-axis. NOTE: Enter the exact answer, or round it to three decimal places. V =

Q: If xy+Iny= x²y, compute y 2xy? +y2 y = - xy+2 – x²y O A. O B. None of the other choices OC. 2xy2-y? ...

A: We have to find y' for the given expression                                                         ...

Q: 3. Find the Laplace transform of the piecewise function 0st<1 1 S(t) = 1st<2 3 -t 2<t< 3 t23

A:

Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

A:

Q: Use substitution to find the indefinite integral. ((8+3 In x² xp- Describe the most appropriate subs...

A:

Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x + e*)“, Determine the valu...

A:

Q: 10. A Norman window is constructed by adjoining a semicircle on the top of an ordinary rectangular w...

A:

Q: The point A has coordinates (-3, 5). If A is moved 3 units upward 6 units to the left, what are the ...

A:

Q: Find an equation of the tangent line to the curve 2(2² + y?)? = 25(x² – y²) (a lemniscate) at the po...

A:

Q: If f(x) = 8x* arctan(3x*), find f' (x). f' (æ) =

A: Answer is given below.

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not ex...

A:

Q: 1. Which of the following is true about the limit of a function described by limf(x)? a. The limit o...

A:

Q: Activity 2.1 A. Choose the function whose derivative is equal to zero c. f(x) = 3x d. f(x) = V2r? a....

A:

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 2x+ 2. no x-intercept(s) (-7, 0), (–...

A:

Q: Select from the following which is the polynomial function that has the given zeros. 0, - 7, -3 O f(...

A:

Q: Let u=(-1,37 and u =< 2,-57 Find the Component form of the vector Su-V

A:

Q: Find the derivative of the function j(x), below. Assume that c and d are constants. j(x) = In(e" + d...

A: answer of given question is in step 2

Q: Write the sum (6² + 6) + (6³ + 6) + (64 + 6) + (6³ + 6) in summation notation in terms of k. (Use sy...

A:

Q: 3. Find the Laplace transform of the piecewise function 03

A: To find the laplace transform of the given function.  

Q: The graph below shows a transformation of y= 2". Write an equation of the formy= A 2" + k for the gr...

A: topic - transformation of a function

Q: Let f(x)=Vx+1, g(x)=x²-1 Find the composite function. (fog](x)

A: we have to find the composite function. 

Q: S sinx In(1 + sin x) dx

A: Given problem:- ∫ sin(x) ln(1+sin(x)) dx 

Q: Let f(x) = 4x^3 − 3x^2 − 18x + 5. (a) Find the critical numbers of f. (b) Find the open interval(s) ...

A: Answer is given below.

Q: Let d be a metric on X. Determine all constants k such that the following is a metrie On X (a) kd, (...

A:

Q: 3 (7) What is the value of the scries -? Justify your answer. (n + 1)2"||

A: Explanation of the answer is as follows

Q: lim f (x)=7 3 lim g (x)=12,, lim h (x)= -3. Find lim g(x) (h(x))2*T(X) limit using limit 35. Given X...

A:

Q: Consider the following. g(x) = 6x? - 7; h(x) 1.7 Find the derivative of f(x) - g(x) h(x). rm- (a -7)...

A: topic -  derivative of a function

Q: What is the characteristic equation and what role does it play in the solution to a linear, second o...

A:

Q: Write an equation for the function that is described by the given characteristic. The shape of fx) =...

A:

Q: Find gof. f(x) =x², g(x)=x- 4 († +zx) O

A: Find gof

Q: Rewrite the following expression in terms of exponentials and simplify the result. cosh 5x+ sinh 5x ...

A:

Q: B. Test whether the given function is continuous or not, and classify the discontinuity whether remo...

A: Given problem:-

Q: Solve the differential equation. Sy2 dy dx Oy = - 8ln x + c O y = 24ln x + C O y== Sln x +C -1 O y= ...

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. f(x) - - 3xVx + 2 10 -2 4...

A: topic - derivative of a function

Q: Find the slope of the line passing through the pair of points. Р(5, 4); Q(9, 20). m = 6 m = 5 m = 4 ...

A:

Q: x-8 Find the interval of the continuity of the function f(x) = x^e*+ V*- In(x-2)

A:

Q: Problem Set A (1) A dietitian wishes to plan a meal around three foods. The percentages of the daily...

A:

Q: Find the difference quotient and simplify your answer. Ax) = x² – x + 1, f(6 + h) – f(6) -, h+0 h f(...

A:

Q: Determine the x-intercept(s) of the quadratic function f(x)=x²+ 8x+ 12. (-6, 0), (–5, 0) no x-interc...

A:

Q: Absolute maximum value on (0, ) for 8. 12 f(x) = 20 – 3x -

A:

Q: Describe in words the region of IR^3 represented by the equations or inequalities. y^2 + z^2 = 16

A:

Q: Solve the initial value problem. (Hint: there's a part you need to do u-sub) (Hint: find y then plug...

A:

Q: 32. Packaging. A parcel delivery service will deliver a package only if the length plus girth (dista...

A:

Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

A:

Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos°(x) for x = 0.055 and y = 0.9...

A: Find your answer below 

Q: 72 and A is in quadrant 3. 65 Find tan(2A), if tan(A)

A:

Q: Use Newton's method to find the root to the nearest thousandth. /2 2 (Round the final answer to the ...

A: Find your answer below 

Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-3,...

A:

Q: Imagine that the number line shown below is balanced on a fulcrum at the point r = 0. Two points are...

A:

Q: A farmer has 80 feet of fencing to enclose three sides of a rectangular plot of land (the fourth sid...

A: topic- application of derivatives

Q: Write the standard form of the equation of the circle with the given characteristics. endpoints of a...

A: