Find an equation of the plane that passes through the given point and is perpendicular to the given vector or line. Perpendicular to n = -5i + 6k Point (0, 7, 0) -5i + 6k

Q: dy dx = general solution of :- - 2 Sec 3x tan 3 X

A: dy/dx=sec2tan3x

Q: Determine wheter the series diverges. if it converges, find its sum. n=1 4" +5" 6h Converges or

A:

Q: Set up the iterated integral for evaluating f(r,0,2) r dz dr de over the region D, where D is the…

A:

Q: (x) = √²/1 at dt b) Calculate F'(5) if F(x)=

A: Question No. 1(b);To calculate .

Q: Given the parabola: x = 3(y + 5)² - 4.

A: x=3(y+5)2−4We are comparing the equation withx=a(y−k)2+h

Q: 5. Determine the volume of the solid obtained by rotating the region bounded by z = ³ - 5y² and the…

A:

Q: using the newton - rophson method with three iterations Find a root of the function f(x) =…

A: The given function is

Q: The integral √x dx evaluates to

A:

Q: Given the graphs of polar equations: r = 1 and r = - 2 sin 0, (a) Set up the integral that gives the…

A:

Q: Given the following data points, fill in the estimates of the integral that each method predict (use…

A:

Q: Find all relative extrema. Use the Second-Derivative Test where applicable. (If an answer does not…

A: To find all relative exrema of the following function.

Q: Let Find the values of a and b so that f will be differentiable at x = 5. a = b = i √(x) = {2x²+ A…

A: We have been given a piecewise function.. We have to find the values of a and b so that f is…

Q: Tutorial Exercise Consider the given function. f(x) = c² +8 Evaluate the Riemann sum for 0 ≤ x ≤ 2,…

A:

Q: A rectangular piece of cardboard of size 16 inches by 20 inches is to be used in a factory to create…

A:

Q: Question 4.21) Evaluate the following limits. sin² (1)-1 A) lim 1->8/2 1-4 B) lim x-0 1-cos(2x) x²…

A:

Q: Use the First Derivative Test to find the location of all local extrema for the function given…

A:

Q: Given the matrix: 102 211 110 Which of the following is its inverse? OA. The inverse of this matrix…

A:

Q: Express the limit as an integral. 4 lim (7(x)² - 2(x, ) ³) 4x over [0, 4] n→ ∞o Σ i = 1 dx

A:

Q: Setermine if the se quence fa. } Converges or diverges of the sequence is convergent. Find the limit…

A:

Q: Problem 20.3: Evaluate the derivative of an inverse function at x = a The following function is…

A:

Q: Consider the function f(x) = x³ + 6x² - 16x - 104. = A. Verify that f(x) Theorem on [4, 5]. ³+ 6x²…

A:

Q: 7. Find lim to talk A. 1 C. -1 B. 0 D. does not exist

A: We have to evaluate the limit.

Q: Find a function ?(?) such that ?′(?)=?^x+?^e+1

A: The objective of the question is to find the antiderivative or integral of the given function f'(x)…

Q: Find the sum of the series: n=0 (-1)"36¹-2 n!

A: ∑n=0∞(−1)n36n−2n!

Q: Solve the following integration :- S [ 5 Cos x dx

A: we need to find the integration.

Q: f(x)= [5x+3] e-2x

A:

Q: Find the general Solution For D-E y + y tanx = [cos²x] y ¹

A: The given differential equation is

Q: 2² y² Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 = 1 that…

A:

Q: Stanxsecxdx

A:

Q: Find the general Solution For D-E (xy-4/nx+x² sin x²) dx + x² dy =o

A:

Q: f(x) = = x²-7x-8 x-4 For each entry, enter a single number. First Number: The smallest x-intercept…

A:

Q: Your velocity is v(t) = ln(t² + 1) ft/sec for t in seconds, 0 ≤ t ≤ 2. Find the distance traveled…

A: Velocity is v(t)=ln⁡(t2+1)ft/sec for t in seconds, 0≤t≤2.

Q: 3. Use the given number of partitions to calculate the Right Endpoint Riemann Sum, and sketch the…

A:

Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

A: We have to find total profit

Q: -2 -1 2+ 1 T 1 y=h(x) 2 True/False True or False: At every point where h'(c) is zero or does not…

A: To determine whether the following statement is true or false.At every point where  is zero or does…

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

A:

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: , n=5a=0, b=4

Q: Make a sketch of the region and its bounding curves. Find the area of the region. The region inside…

A: Consider the polar curve

Q: Write a set of parametric equations for the surface of revolution obtained by revolving the graph of…

A:

Q: Consider the function f(x) = 14x - 4sin-¹. Find the critical number(s) off in the interval [-1,1].…

A: The given function is

Q: Find the total-cost function, C, assuming that C(x) is in dollars and that the total cost of…

A:

Q: What is the Rank of the following matrix? 325 65 13 30-1 OA.O OB. 1 OC.2 OD.3 QUESTION 2 Fill in the…

A:

Q: lim f(x) where f(x) = x→1+ X, x ≤1 1-x, x>1'

A:

Q: The average price of a ticket to a baseball game can be approximated by p(x) = 0.03x² +0.54x +9.63,…

A: According to latest Bartleby guidelines, we can answer only first three subparts, please post other…

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2, -5, -3) (a) u x V 29i+ 4j + 26k (b) V x u…

A:

Q: 5. Consider the volume of the two solids lying between the spheres x² + y² + z² = 4 and x² + y² + z²…

A:

Q: If the marginal revenue for ski gloves is R'(x): = -0.7x + 40 and R(0) = 0, find the revenue…

A:

Q: Find the Taylor polynomials of order 0, 1, 2, and 3 generated by f at a. f(x)=√x, a = 100

A: A Taylor series is given by f(x)=∑k=0∞f(k)(a)k!(x−a)k

Q: f(t) = 1-2t 1 + 2t

A:

Q: Consider the series. 8n (n+1)4²n+1 In this problem you must attempt to use the Ratio Test to decide…

A: