Find the exact area of the surface obtained by rotating the curve y =x2, 3 0

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A: Given: (2,3,-6) Perpendicular to j vector

Q: Differentiate the function. p(t) = In Vt2 + 8

A:

Q: A triangular lot bounded by 3 streets has a frontage of 300 feet on one street, 250 feet on the…

A:

Q: 4x+1 b. g(x) 9х-2

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Use the first principles definition of the derivative to find f'(x) where f(x)=3x2 - x

A: This question can be solved by applying the concept of limit which is used to define the first…

Q: Consider the following planes. 3x + 4y - z = 56 x - 8y + 2z = 0 (a) Find the angle between the two…

A:

Q: Write an equation for the transformed logarithm shown below -5 -4 -3 -1 -2- -4 f(z) =

A: We are given a transformed logarithm graph and we have to find function f(x) whose graph is this In…

Q: 51 tan 12

A: Follow the procedure given below.

Q: The shaded region shown below is bounded by the functions f (x) = -x2 +1.5x + 10 and g(x) = -x + 8,…

A:

Q: f(x) = sin° r, find f'(x) If Find f'(5)

A:

Q: In AABC, AC > AB. The b ZBAC meets BC at D. Pro

A:

Q: dy a. Use implicit differentiation to find dx b. Find the slope of the curve at the given point. 4xy…

A:

Q: Use the method of Lagrange multipliers to find the largest volume of a box with no top subject to…

A: To find the largest volume using the lagrange multiplier .

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A: 1. From figure we can conclude that, Using Pythagorean theorem,  6 ^2 + x^2   = s^2 Differentiate…

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: For the functionf(x) given below, evaluate lim f(x) and lim f(). X-00 X→ー0 f(x) = –18x (x – 1) (x +…

A:

Q: 3.(Straightforward) Solve the separable ODEs: (a) dy/dx = y/x².

A: Since you have asked a question with multiple parts in a single request we would be answering only…

Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

A:

Q: Find the absolute extrema of the function on the closed interval. f(x) = x³ - x?, [-3, 2] minimum…

A:

Q: 7.) Without using decimals, common denominators, or cross multiplication, be convincing of which…

A:

Q: Evaluate the integral by any method. NOTE: Enter the exact answer. d.x V4 - 3x16

A:

Q: What is the area bounded by:(answer must be fractional form) x²=-9y and y+1=0

A:

Q: Find the points on the the polar curve r = 4 cos 0 where the tangent line is horizontal.

A:

Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

A:

Q: Question 1 -x2 1 4a?t prove that VE If v = dv ôt

A:

Q: fully continuous for all x E R by use of the product rule differentiate the function f{x} = x3e-4x

A:

Q: get a The curve above is the graph of a degree 3 polynomial. It goes through the point (5, –6.3).…

A: Solve the following

Q: Learning Task 1: Directions: Solve for y in terms of x (isolate y on one side of the equation and…

A:

Q: P(x) = - x° + 9x + 165x - 400, x2 5. Find the number of hundred thousands of pillows that must be…

A: Given query is to find the maximum profit and the time when it occurs.

Q: What is the slope of the line 0 = (Use decimal notation. Give your answer to three decimal places.)…

A: Find your answer below

Q: 1 dx, x > 2 x2 Vx2 – 4

A:

Q: x + 4 -dx - 4x .3

A: Here we have to integrate the integral.

Q: 1. Y = eee*

A: 1.Solution :y=eeexdydx=eeexddxeexdydx=eeexeexddxex

Q: Use L'H rule to find (a). lim zlng, (b). lim zn ez 1

A:

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-1, 6,…

A:

Q: e* – 9dx = 2ve* – 9 – 6Arctan ( Ve 9) +

A:

Q: Consider the parametric the curve defined by the equations x = t² – 2t + 2 and y = t² + t. (a) The…

A:

Q: 3. Evaluate ff, (x² + y²)³/²dA, where D is the region in the first quadrant bounded by the x-axis,…

A: Given problem:- Evaluate ∫∫D (x² + y²)3/2 dA, where D is the region in the first quadrant bounded by…

Q: Y -2 -1 1 3 6

A: Given query is to find indicated limit.

Q: Two boats leave a dock at the same time. One boat travels south at 16 mi / hr and the other travels…

A: Let's find.

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A:

Q: D. A balloon is released upward from the ground at a speed of 5 balloon was 10 m above the ground,…

A: Given query is to find the rate of change of distance.

Q: Find the area of the curve r²=16cos(theta)

A:

Q: Evaluate the triple integral. 3xy dV, where E is bounded by the parabolic cylinders y = x² and x =…

A:

Q: Given the following vectors a =(-1,-2),5 =(-3,-4),c = 2,-1), d = (-4,3) Use the dot product and…

A: We have to use dot product and scalar multiplication to find the relation between vector b and d.

Q: Consider the following. x +3 2-x- 12 f(x) = Find the x-value (if any) at which fis not continuous.…

A:

Q: x3 +1 4. Let f(x) Show that lim,→±∞[f(x) – x²] : = 0. This shows that the graph of f(x) approaches…

A:

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 2. Y= 2 Arccos (1-)+ v4x – x?

A:

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLIFIED FORM 3x-4 1. Y= Arctan

A: To find second derivative of the given function.

Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function