Write the equation of the plane with normal vector n = (-6, 4, 2) passing through the point (4, 6, 5) in scalar form ax+by+cz = d. (Express numbers in exact form. Use symbolic notation and fractions where needed.) equation:

Q: Divide using long division. State the quotient, q(x), and the remainder, r(x). (6x3 + 19x² + 5x-4) +…

A: Given that  (6x3+19x2+5x−4)÷(3x−1)

Q: How many 2-letter words can be made from the letters WASTEFUL if repetition of letters is allowed?…

A: How many 2-letter words can be made from the letters

Q: Find the periodic withdrawals PMT for the given annuity account. (Assume end-of-period withdrawals…

A: Solve by formula

Q: y = 3x², y² = y 0.30 0.25 0.20 0.15 O 0.10 0.05 y 0.3 0.2 0.1 -0.1 -0.2 -0.3 3x 0.05 0.10 0.15 0.20…

A:

Q: f(x) = -3x² √x²-4

A: Domain is =-2<x<2

Q: Use transformations of the standard cubic function, f(x) = x³, to graph the function h(x) = 2x⁰. UL

A:

Q: Find two unit vectors in 2-space that make an angle of 45° with 9i+ 4j NOTE: Enter the exact answers…

A:

Q: Find the vertical asymptotes, if any, and the value of x corresponding to holes, if any, of the…

A:

Q: G1x2 = - x4 + 32x2 + 144(a) Determine whether G is even, odd, or neither.(b) There is a local…

A: Concept Used: Odd or even function A function is even if: f(x)=f(-x) for all x A function is odd if:…

Q: (a) Find an equation for the tangent plane to the 11-level surface of f(x, y, z)= 3x² + 7y² + 2² at…

A:

Q: Find by implicit differentiation. dy dx dy dx x sin(y) = y cos(x)

A:

Q: Differentiate the function and find the slope of the tangent line at the given value of the…

A:

Q: f(x)= 3x³(2x-1)¹

A:

Q: Let P. Q and R have coordinates P(1,1,2). Q(1,0,0) and R(2, 1,0). (a) The line I through P and Q has…

A:

Q: Separation of Variables Obtain the general solution of the equation ye2x dx = (4 + e2x)dy

A:

Q: x² + 2x lim x 1 x² - 2x + 1

A: NOTE: Refresh your page if you can't see any equations. .

Q: 71 The arc length of the curve y = sin(x) where x = 0, is given by CVTC /1 + ¯d dx.

A: We have to find out

Q: Find the length of the arc formed by z² = 7y³ from point A to point B, where A = (0,0) and B = (49,…

A:

Q: Find the value of x for which the curve is (i) rising, (ii) falling, (iii) concave upward, (iv)…

A: Solution

Q: Determine the value of x for which f(x) = x³9x² + 5x-e7 +11″ has the lowest instantaneous rate of…

A:

Q: Sketch the graph of y = 2x.

A: Given the equation of a line:- y=2x

Q: Suppose that the dollar cost of producing x appliances is c(x) = 700+ 110x-0.4x² a. Find the average…

A: We need to find cost.

Q: h h •Question 1: Goal Find Derivative don't use quotient rul 8 (5x+2) '

A:

Q: True or False The cube function is odd and is increasing onthe interval 1 - q, q 2.

A: Given, fx=x3

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Write the equation of the line tangent to f(x)=x5 when x = -2. Oy=80x192 O y = -80x+128 Oy - 80x192…

A: The equation of the function is given what you need to do ? 1. Find the slope at given point 2. Form…

Q: 9 A body moves on a coordinate line such that it has a position s = f(t) = 3 on the interval 1 st≤3,…

A:

Q: Part A What average force is required to stop a 990 kg car in 7.6 s if the car is traveling at 87…

A:

Q: Evaluate the following limit: lim (7x+1)3cotx x → 0+ O O lim (7x+1)3cotx=e³ vant O lim (7x+1)3cotx =…

A:

Q: The following table shows the results of a survey of authors by a fictitious publishing company…

A: Let's solve given subset problem.

Q: Use a linear approximation to approximate 2.001° as follows: The linearization L(x) to f(x) = x³ at…

A: L(x)≈f(a)+f'(a)(x−a)  We have f(x)=x6 and a=2

Q: Find the volume of the solid that results when the region enclosed by the curves is revolved about…

A:

Q: Find the distance (d) from the point ( – 6, – 1, 0) to the plane - x - 2y + 5z : - = d = 49.

A:

Q: Assuming the limit exists, use polar coordinates to find it x ² y ² lim (x,y) →(0,0) x² + y² =

A:

Q: 165. Evaluate the integral using trigonometric substitution: 3 I've -3 √9-x ²dx.

A:

Q: Find the periodic payments PMT necessary to accumulate the given amount in an annuity account.…

A:

Q: If f1x2 = int12x2, find(a) f11.22 (b) f11.62 (c) f1 - 1.82

A: Given information fx =int2xorfx = 2x

Q: Find the nth Maclaurin polynomial for the function. 5X - 2 n = 4 X + 1 P4(x) = f(x) = Need Help?…

A:

Q: Use the limit definition of the derivative to find f'(x) when f(x) = 7x².

A:

Q: Given the vector-valued functions е u(t) =e=³t+e=³t+ 3tk v(t) = 5ti 5t²j + 3k find d -(u(t) · v(t))…

A:

Q: dr Find giving your answer in terms of m. dr 1 x +4 3 Given that f 11 * calculate the value of m.

A:

Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: Separation of Variables Obtain the general solution of the equation x2 dx + y(x-1)dy = 0

A:

Q: Let c be a constant and let f and g be differentiable functions on R². Use the gradient rules…

A:

Q: Let 8₁ = [L1 L2 (A2-1) L₁+L2 x AT Find the value of 8₁ by taking this limit: lim 8₁. Leave the…

A:

Q: A computer password is required to be 6 characters long. How many passwords are possible if the…

A: Total number of letters=26 Total number of digits = 10

Q: Find the volume of the solid that results when the region enclosed by y = √√x, y = 0, and x = 25 is…

A: Given curves equations:- y=x , y=0 and x=25

Q: nd the approximate elevation. climber on Mt Everest is 6000 meters from the start of his trail and…

A:

Q: find the function that is finally graphed after each of the following transformations is applied to…

A: Given, y=2x

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

A: