Find an equation of the plane. The plane that passes through the point (-1, 2, 1) and contains the line of intersection of the planes x + y -z = 2 and 4x - y + 5

Q: Consider the equation z*=x+y, where x,y and z are all functions of r. Which of the following is the…

A:

Q: Find the dimensions of the rectangle of the greatest possible area that can be inscribed in the…

A:

Q: The demand for tickets to an amusement park is given by p= 80 -0.04q, where p is the price of a…

A: Note:- As you asked multiple subparts ,according to our policy we can solve only first three…

Q: Consider the power series (−1)¹ (7x − 3)¹ - √n +9 Find the center, a, radius of convergence, R, and…

A:

Q: The base of a solid is the region in the first quadrant bounded by the graph of y = 2- and the - and…

A: Given curves: y=2-23x and x axis and y axis for 0≤x≤3.

Q: Where (x-value(s)) on the curve y = the greatest slope? Answer format example: 7/3 or Answer format…

A: The given curve is: y=1+x2-1

Q: so what is the answer for xi and f(xi)?

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

Q: 4. Compute y' where y = 06x² - 6x 6x - 6 O4x - 3+1/2 04x-3-1/2 ONone of these 2x³ 3x²+1 x

A:

Q: Find y' a) y = 2 tan (x) + 9 cos (x) y'= (b) y = 5 cos (x)= 4 x ² 'y'= c) y = y sin (x) = tan (x) -…

A:

Q: Find the length of the parabolic segment r = 4 1+ cos 0 A 0≤0s-

A:

Q: Evaluate the double integral over the given region R R (18y²-14x) DA R: 0≤x≤4, 0≤y≤2

A:

Q: Evaluate the iterated integral S S (11x+10y (11x+10y + 14)dx dy. 4-2

A:

Q: 18. Compute H'(1) where H(x) = √²2 17/12 dt. 01 0–2 02 O-1 ONone of above

A: Compute H'1 where Hx=∫x291t2dt.

Q: Write an integral that represents the area of the shaded region of the figure. Do not evaluate the…

A:

Q: Let f(x) = 9x² - 4x + 8. Determine f(a+h). Simplify completely. f(x+h) = Determine f(x+h)-f(x) h…

A:

Q: What is the area of the region between the graphs of y=x² and y=-x from x=0 to x=2? A (B) D (M) 23…

A: given  y=x2  and y=-xfrom x=0 to x=2A=∫ab(f(x)-g(x))dx

Q: find a basis for the eigenspace corresponding 16. A = to each listed eigenvalue. 30 20 1310 0110…

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

Q: 2 Find the average rate of change of g(x) = 7x² + on the interval [-3,4]

A: (1)  g(x)=7x2+2x4interval is [-3,4]

Q: 2. [x5√x³ + 1 dx

A:

Q: T a) y = In sinx on ≤x≤ 1/2

A:

Q: Let a = 1 and b = 4. 0 16 S.L. ㅠ -√a²-x² If you need to use π for your answer, just type pi.…

A:

Q: Find the following limit. lim V

A:

Q: or the function below, determine each of the following. g(x) = x + 21 (a) Find the critical values…

A:

Q: The cost of manufacturing x electric woks in one day is given by C (x) = 2x³ – 16x² + 4x and the…

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line that is tangent…

A:

Q: Find the particular antiderivative that satisfies the following conditions: F(x) = F'(x) = x³ +8√√x;…

A: F'(x)=x3+8xF(1)=-1∫xndx=xn+1n+1+c

Q: Find the values of x for which the infinite geometric series 1+(4x-3)+(4x-3)² +... is convergent.

A: We have given the infinite geometric series  1+4x-3+4x-32+...... First term a1=1 Second term…

Q: Express this alternating sum S as a simple fraction:

A:

Q: For the ellipse equation: 4x^2 + 9y^2 = 36 find the center, vertices, foci and graph it.

A: The given equation of ellipse is:4x2+9y2=36x29+y24=1

Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: The given integral ∫cos x7sin2x+8sin xdx. We have to find the solution to the integral. Formulas…

Q: Find the distance between the skew lines: z = 8-9t x = 5+7t, y = 3+7t, x = 1 -t, y = 6, z = 5+8t…

A:

Q: Which of the following could be the slope field for the differential equation B MAZZ ~~X1/17 71XSS…

A:

Q: The following is a graph of a logistic function P=(L)/(1+Ce−kt) The marked point (25.60,17.5) is…

A: The solution is shown below-

Q: The derivative graphs for the functions f, g, h, and p over some interval are shown below. Use these…

A: The given data is: The derivative graphs for the function f, g, h, and p over some interval shown…

Q: sin 7t 2. Compute lim+→0 sin 2t 01 0-1 000 01/10 0/1/201 27 72 ONone of these

A:

Q: b.) Tim X-8 X x - 8 √6-√x ² 2

A:

Q: Find the value of the summation. Σ( – 3) - k 0

A:

Q: Let a = 1 and b=4. 1/6 ₁/²b(2² +1²) dy dx. T If you need to use π for your answer, just type pi.…

A:

Q: Find the critical points in the domain of the function f(x) = 8x³ - 7x.

A:

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A:

Q: The following table gives the percentage, P, of households with a television set that also have a…

A:

Q: Find parametric equations of the line through (-3, 1, 5) that is parallel to 2i-5j+k. x(t) y(t) ||…

A:

Q: Consider the following function. f(x) = ln(5 + 7x) a. Find the full power series of f(x) centered at…

A: The solution is shown below-

Q: All Sections 1) Solve the following equations for t Jy evt = 2) Find the derivative of y with…

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12…

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: To find out that Rolle's Theorem can be applied to f on the given closed interval or not.

Q: Find the derivative of the function at the given number. f(x) = √x at 25 f'(25) =

A: To find the derivative of the function at the given number. fx=x at 25

Q: Expand f(x) = 4x² + 10x + 10 as a power series around x = -1. f(x) = (x + 1)² + (x + 1) +

A:

Q: Write the parametric equations for the tangent line to the curve of intersection of surfaces…

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

Q: If f(x₁) 0 and f(x₁) > 0 then f has a A at x₁. If f¹(x₂) = 0 and f11(x) < 0, then f has a A at x₂. =

A: As per second derivative test:   If f'(a)=0 and f''(a)&gt;0 then f has a local minimum at x=a.   If…