What is the shortest distance from the surface xy + 9x + z² = 88 to distance = the origin?

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: Given that log 30.939, log 4 1.185, and log 57 1.663, find log b 4 log b b (Type an integer or a…

A: Given that logb3≈0.939, logb4≈1.185, and logb7≈1.663. We have to find the value of logb4b.

Q: Find the given derivative. D, 8x Dx 8x 2 - 13 ܗ ܫܙܘ* + 6 II > | +10)

A:

Q: The workers in a road being repaired are using a yellow tape that says "DO NOT CROSS" in order to…

A:

Q: f and g are continuous functions with f(-1) = 2 and the following limit, find g(-1). _lim [2f (x) −…

A: Given query is to find g(-1).

Q: Find the average value gave of the function g on the given interval. 5 1+²' [0, 7] gave = g(t) =

A:

Q: Sketch the region enclosed by the given curves. y = x²-3x, y = 2x

A:

Q: -5 (-2.5.333) -5 0 --5- (0,0) (2,-5.333) 5

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A:

Q: a aTT + aNN into tangential and normal components for r(t) = = (-3t, -21², 21³) at t = 1. (Use…

A:

Q: given the derivative g'(x)= x^2(9-3x)(x+4) find when the function g(x) has a horizontal tangent

A:

Q: Use the definition to find an expression for the instantaneous velocity of an object moving with…

A:

Q: 64. Sketch the graph of a function f with all of the following properties: i. f(0) = 2 ii. f(4) = 2…

A:

Q: Find the limit. (If an answer does not exist, enter DNE.) X+1 Ilm X-2+ X+2

A: To find the limit. limx→-2+ x+1x+2

Q: If f(x) = 4x + ƒ' (5) = 2 X I 2 Use this to find the equation of the tangent line to the curve y =…

A:

Q: mydx = nxdy

A: The given differential equation : mydx=nxdy.We need to solve the above differential equation.

Q: (d) In what direction does Vf point at point P? in the direction (Give a vector that points…

A:

Q: [o et X ex dr

A:

Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Use the…

A:

Q: In March 2014, a gas company had the rate schedule shown to the right for natural gas usage in…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Find the area of the shaded region shown in the figure (which is not shown to scale). The area of…

A:

Q: 1. a. Carefully graph f(x)= x³ − 3x² + 3x−1on the window xmin = -1, xmax = 4, ymin = -1, and ymax =…

A: As per our guidelines, we are advised to solve only three subparts of 1st question. Please ask other…

Q: 3y = 1.8x 0.4 y = 0.6x + 0.2 ate the type of this linear system without graphing or actually…

A: Given query is to find the type of system and solution.

Q: Find an equation of the line that satisfies the given conditions Though (1,1); parallel to the line…

A: Given : y = 4x -2 compare with y=mx+cm=4

Q: The limit below represents f'(c) for some function f and real number c. -7√x+7 lim a-1 x-1 Determine…

A:

Q: Define, using a limit, what it means for a function f(x) to be differentiable at a point e in the…

A:

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x² between…

A: Given curve is y=x2  A portion of that curve between x=1 and x=2 revolved around the y-axis.

Q: Find the critical points of the function f(x, y) = x + y - 196xy Answer: Starting with the point…

A: we have to find out the critical points and local minimum, local maximum and saddle points.

Q: f(x)=√1-x². (arc sin x)

A: Given query is to find the derivative.

Q: Let h(x) = 7 - 3x³, h' (1) = Use this to find the equation of the tangent line to the curvey = 7 -…

A: We have given function  hx=7-3x3 h'x=ddxhx=ddx7-3ddxx3 h'x=0-33x2 h'x=-9x2 Put x=1 h'1=-9 Equation…

Q: Question 1 Evaluate the following limits based on the given graph of f(x). (a) lim f(x) x→∞0 (b) lim…

A: we can find limit .

Q: Determine whether the statement, "When graphing a linear inequality, I should always use (0, 0) as a…

A: Given Statement: "When graphing a linear inequality, I should always use (0, 0) as a test point…

Q: Find any local maximum or minimum points of the given function. y = x³ - 4x² - 16x + 1

A:

Q: Use the product rule to find the derivative. y = (5x² + 4)(4x - 5) y' =

A:

Q: 8h n+1 Does the series Σ converge or diverge? n=1 Choose the correct answer below. A. The series…

A: Given query is to find series converges or diverges.

Q: Anthony Altino is mixing food for his young daughter and would like the meal to supply 1 gram of…

A:

Q: Suppose that an ∞ B. A. (-4an +-3bn) n=1 ∞ n=1 n=2 -8 and 2 n=1 (-4an = +-3bn) bn Question Help:…

A:

Q: Solve the equation graphically in the given interval. State each answer rounded to two decimals.…

A: The given equation x2-1.15x+0.225=0. Using the graphical method to find the solution on the interval…

Q: Graph the level curves for z = 2x - 3y for z = 0, 1,2 on the same ry plane, and label them.

A:

Q: 5. Use the graph and determine/ solve:   (a) f(x) = 1   (b) g(1)   (c) f(x) > g(x)

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: Let f(x,y) = cos(xy). Find the partial derivative of f towards x using the definition of partial…

A:

Q: Find the area of the region(s) enclosed by the curve f(x) = x³, the x-axis, and the lines x = -1 and…

A:

Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = 3x² + x₁ a = -9…

A:

Q: Given z = = f(x,y), x= x(u, v), y = y(u, v), with x(0, 2) = 2 and y(0, 2) = 4, calculate zv(0, 2) in…

A:

Q: Consider the function f(x, y, z) = xy + yz²+xz³. Find the gradient of f: ( Find the gradient of f at…

A: Given : Gradient

Q: Find the tangential component at and the normal component an of acceleration at the t = 1 if r(t) =…

A:

Q: List the first five terms of the sequence. 2₁ = 6, an+1 = 2a + 3

A: Explanation of the answer is as follows

Q: Let f(x) = 2x³ - 4x² +6 a) Determine f'(x). b) Determine the intervals on which f(x) is increasing.…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Use the Chain Rule to calculate the partial derivatives g(x, y) = sin(x² + y²), x= 4u + 2v, y = - -…

A:

Q: Find an equation of the tangent plane to the given surface at the specified point. (25, 5, 1) ZF X

A: given curve is :-z =xy2    point ( 25   ,5,1)then we have to find equation of tangent plane to the…