Find the volume V of the solid obtained by rotating the region bounded by the curves x = 3√√y, x = 0, y = 9; about the y-axis. V = = fh(y)dy where a = V= b= ,h(y) =

Q: Evaluate the double integral over the given region R. SS. R ex-Ydx dy R: 0≤x≤ In (3), 0≤ys In (6) SS…

A:

Q: Find an equation of the tangent line to the curve at the point (1, 1). y In(xex*) y =

A:

Q: given curves is revolved about the y-axis. ■= ex², x x = √√√2, x = 2, y = 0 Volume = FI

A: V= ∫ab(2πx f (x))dx

Q: 3n+1 ²n=1 4n²+n-2 Determine the convergence or divergence. Σ-1

A:

Q: Evaluate the definite integral. 6 L₁³25 1 25+ (x+4)² dx

A:

Q: State the slope of the line that is parallel and line that is perpendicular A) y=-1/4(x-2)-1 B) x=5…

A: To state the slope of the line that is parallel and the line that is perpendicularto each of the…

Q: Find the intervals on which f is increasing and decreasing. Зл Зл f(x)=7 cos (5x) on Select the…

A:

Q: and x³ and y = √√√x. Find the area enclosed between the curves y = x³

A: We can find the area between the curves.

Q: Find Distance and Equations in R³ Find the center and radius of the sphere with equation (x − 1)² +…

A:

Q: Which of the is the best transformation of f trigonometric substitution? Of sec 0 de Of 5 sec 0 de O…

A:

Q: 41. Sales saturation. The Gottahavit device is introduced in a market with 150,000,000 potential…

A: It is given that the unit sales are modelled by the following function:…

Q: Helium is pumped into a spherical balloon at a constant rate of 3 cubic feet per second. How fast is…

A:

Q: Find the linearization at x = a. 9x² x-3,9=11 (Use symbolic notation and fractions where needed.)…

A: We can find the Linearization function in the below steps using the given datas.

Q: Consider the function of two variables f(x, y) = 3x³9x + y² + 4y + 6 (a) Find all the critical…

A: Consider the function of two variables fx, y=3x3-9x+y2+4y+6 a To find all the critical points of fx,…

Q: x50 - 1 69. lim x→1 x − 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Consider the following parametric curve. x = et - t₁ y = 4et/2, Set up an integral that can be used…

A:

Q: Life Science 58. Blood pressure. With a dosage of x cubic centimeters (cc) of a certain drug, the…

A: Given query is to find the x where blood pressure will be max.

Q: 16² - 15 $+

A:

Q: If y = O 2-3' then -12 (2-3)² 12 dy dx

A: To find derivative of given function.

Q: Find the average value of the function over the given interval. (Round your answer to three decimal…

A: We need to find out the average value of the function.

Q: Differentiate the following. (a) y = sin(x4) (b) y = sin(x) Solution (a) If y = sin(x4), then the…

A:

Q: Given the position function s(t) = 2+³ - 2 +² - 60++ 3₂ where it is in seconds and s is in ft, Find…

A:

Q: 1 Evaluate: ſ¹_xeª dî 0 -∞ O None of these ∞

A:

Q: a) y = cos 2x on [0,1] b) x= on [1,10]

A: 6) a) y=cos(2x) on [0,π] the length of the curve is given by  L=∫ab(1+f'(x)2) dx here f(x)=cos(2x)…

Q: Let f(x) be given by f(x) = x + sin x which is defined on [0,27]. a. Find all exact values of x for…

A: We have to find the equation of tangent at given point.

Q: Find the indefinite integral. (Use C for the constant of integration.)

A:

Q: Solve the differential equation = y²ex dy dx

A: Given, dydx=y2ex

Q: Find the limit. lim sin(3x) X-0 2x

A: To find the following limit.limx→0 sin3x2x

Q: 5. f3-* dx 6. S √ √√9-t² 7. S- 1-e²t dt dt

A:

Q: Consider the family of curves given by 4x² + 3y² = c². (a) Use implicit differentiation to express…

A:

Q: 5. How many different arrangements can be made of all the letters of the word "ACCOUNTANTS"? In how…

A: As per Bartleby answering guidelines when multiple question are posted in single picture then the…

Q: from the point (-2,-40) to the point (2,40), you'd have to compute where a = b= and f(x)= = y = 3x³…

A:

Q: Let y = 5x2 + 5€ + 2. If Δα - estimate Ay Δy ~ 0.2 at a = 5, use linear approximation to

A:

Q: tegral. (b) (d) Jo TT cos¹ (2x) dx tan an³ x sec x dx

A: Given query is to find the value of the integral.

Q: Solve the problem. A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved.…

A:

Q: 37-38 Explain, in terms of linear approximations or differen- tials, why the approximation is…

A: We are required to prove that 4.02  ≈2.005 using the method of linear approximations

Q: Find the domain of the vector-valued functions: R(t) = √t² - 9 î+ In]t − 3] ƒ + (t² + 2t − 8) k B.…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: = 2. Find a linear approximation of the function f(x) e at x = 0. Use this to approximate the value…

A:

Q: ду a) Әх дz Әх

A: Given query is to find the Indicated partial derivative.

Q: The heights of 400 students are approximately normally distributed with a mean of 174.5 centimeters…

A: Given  that, The heights of 400 students are approximately normally distributed with a mean of 174.5…

Q: 17. y = √t-cos t

A: Given query is to find the differential.

Q: 3. Find the volume of the solid obtained by rotating the region bounded by y ==x², x=2, and y = 0…

A:

Q: from a = = 2 to x = 6. The length is y = 6x³/2 - 5

A:

Q: A hamster "runs in place" on a circular treadmill, causing the treadmill to rotate at constant…

A: Number of revolutions in 4 seconds = 1 Diameter = 4 inches

Q: Given f(x) = x+1 -3x - 6 and g(x) = 2x - 10, the domain of is all real numbers except x = f(x) g(x)

A: Here we have to find the domain of function.

Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: I am attaching image so that you understand each and every step.

Q: Which one of the following shaded-regions in the plane consists of all points whose polar…

A:

Q: Use the tables for f(x) and g(x) to evaluate the expressions below. Write your answer as an integer…

A:

Q: Find the derivative of: 9 sin² (4x²). 2 Hint: sin²(x) = [sin(x)]².... ...so use the chain rule…

A: Let's find derivative of given function.

Q: If it is exact find a function F(x,y) whose differential, dF(x, y) is the left hand side of the…

A: