Find parametric equations for the lines The line through (2, 4, 5) perpendicular to the plane 3x + 7y - 5z = 21 2. Find equations for the planes The plane through (2, 4, 5), (1, 5, 7), and (-1, 6, 8)

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

A:

Q: Suppose that the coefficients of the power series Ean(r – c)" n=0 satisfy |an+1\| lim = L. |an| (a)…

A:

Q: 6. Set up the integral to calculate the area between the curves fG)= g(x) =-r+2 [ (fy)-g(y)) dy А.…

A: The region is bounded by,f(y)=y2 , g(y)=-y2+2 and y=-1

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

A:

Q: Suppose that P = (x, y) has polar coordinates (r, Find the polar coordinates for the following…

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Using she'll method, volume is evaluated.

Q: Find all the relative and absolute extrema of the given function on the largest possible domain.…

A: Given,  g(x)=(x-6)2/3

Q: 3. In the differential equation (2x+ y)dx- 3(2x+ y+4)dy=0, we let the substitution dy =,

A: According to our company's guidelines I can only answer first question since you have asked multiple…

Q: how do i solve this calculus question ?

A: In the given problem we have to find out that whether sequences are monotonic are not .

Q: 4. S Vx(x² + 2) dx

A:

Q: Find r'(t), r"(t), and r'(t) · r"(t). r(t) = 5 cos(t)i + 4 sin(t)j (a) r'(t) (b) r"(t) (c) r'(t) ·…

A: Here is the solution

Q: Short run product and cost

A: answer is in next step

Q: d d. dx tan(t)dt -4

A:

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of f(x) = V +2*dt %3D…

A:

Q: Find a parameterization for the curve shown in the figure below. 1.0 F1 -1 F(t) where VI VI

A:

Q: Solve the initial value problem below using the method of Laplace transforms. y" +3y' +2y 150e ",…

A:

Q: please

A: We have to choose the correct option from the given options according to the given information

Q: -4x + 5 and g(x) K5. Let f(x) a) Determine an equation for the function 2(x) 3D f(x) + g(x). Then,…

A: Given f(x)=-4x2+5 and g(x)=2x-3h(x)=f(x)+g(x)        =-4x2+5+2x-3…

Q: on

A:

Q: Consider the transformation of two variables given by u = x + y and v = 2x - y. If J denote Jacobian…

A: Fill in the blanks.

Q: Find the area under the graph of f over the interval [5,8]. 4x+1, for x s7 = (x)] 50-3x, for x>7 The…

A:

Q: Describe the shaded sector in the figure by inequalities in r and 0. 45°

A:

Q: What constant acceleration will bring an automobile traveling 60 mph to rest in 160 feet?

A: Explained below

Q: CURRENT OBJECTIVE Understand integral notation and verify an indefinite integral Question The…

A: Given query is to find the f(x).

Q: (2x+ y)dx- 3(2x+ y+4)dy 0

A:

Q: Lal 3+4" 2" which of the following is correct? To use the comparison test on the series O None of…

A: Given query is to find the correct option option.

Q: A sales representative for a company that produces electric can openers can sell x units of their…

A:

Q: Describe the shaded sector in the figure by inequalities in r and 0. y 45° Assume that the radii of…

A: In the given shaded region the value of radius is varying from 0 and goes upto the value of radius…

Q: Ques For the funcion f(x) given below, evaluate lim f(x) and lim f(x). X00 X-00 f(x) = -19x Sorry,…

A:

Q: Txーt e lim 4x² 4,2 +4x

A: Consider the limit  limx→0 e2x-14x2+4x

Q: 4- 3. 2 2 3 To find the blue shaded area above, we would calculate f(r)dc area Where: %3D a = f(x):

A: If the line passes through the points x1,y1 and x2,y2 , then the equation of the line is…

Q: 2. Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A:

Q: x2 a) lim X o e2x

A: We have to find out limit of given function using  L' Hopital's Rule which is as follows in step 2 .…

Q: A motorcycle covers a distance of 48 km per litre of petrol consump- tion. The cost of petrol is…

A: According to given, Let us take 3 variables, m for milage= 48 c for cost of petrol per liter= 20.30…

Q: If f(r) = t dt then f'(x)

A:

Q: 4. (2x2-у?)dx+2хydy-0

A:

Q: Question 2r x2 + 6 over the interval [0, 5]. Find the absolute maximum and absolute minimum of the…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: S sin x (1+ cos x) ecos *dx 2. S csc ³ () do 1.

A: 1) Given:       ∫sinx1+cosxecosx dx Integrate by parts:         ∫fg′=fg-∫f′g here  f=1+cosx→f'=-sinx…

Q: 2. (x+2y -1)dx+(2x+4y-3)dy =0; when x = 2 and y = -1

A:

Q: Use the graph of f to find the largest open interval on which f is increasing, and the largest open…

A: From the given graph

Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: Find a power series representation for f(x) = x2 1+ x3 ° By differentiating the power series…

A: To solve the following problem  Sncw it is not hiven as in where to find the exact solution at which…

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: If 2200 square centimeters of material is available to make a box with a square base and an open…

A:

Q: У(у - 9) dy у3 — 216 6.

A:

Q: 6. The definition of the first derivative is f(x+h)+f(x) E. f'(x) = F. f'(x) h f(x+h)-f(x) h…

A:

Q: A pump allows water to flow into a pool at the rate of r (t) = 2t liters per minute, where t is the…

A:

Q: Given the sequence {un} with: п — 3 Un ,n > 1 5n + 1

A:

Q: If G(x) is an antiderivative of g(x) and F(x) = G(x) – 5, then F(x) is also an antiderivative of…

A: We can solve this as  follows: