Find the slope of the tangent line to the graph at the given point. x³ + y³ - 6xy = 0, (4/3, 8/3) Folium of Descartes: 3- y 2 (4/3, 8/3) 2 X 3

Q: Consider the graph of f(x) given below: -6 -4 7²f²² f(z) dr = = Number 5 [ f(z) dz- = Number -2 f(z)…

A:

Q: Find the derivative of the function. 7 f(x) = √x = 3 + 6cos x Step 1 Rewrite the function f(x) using…

A:

Q: Determine the Least Common Denominator that would allow you to eliminate the 3 4 fractions and solve…

A: To determine the Least Common Denominator that would allow to eliminatethe fractions and to solve…

Q: 1.3 S sin x dx cos³ x

A:

Q: 18. Convert the following function given in Polar Coordinates into Cartesian form. r = 9 sin 0 csc²…

A:

Q: Find lim f(x) I→-1- Find lim f(x) I→ 1+ Find lim f(x) I⇒-1 Find ƒ (−1)

A: If for a function f(x) at point a,, then limit  does not exist.

Q: II2. Find an equation of the plane that contains the intersection points of the ellipsoid 9x² + 4y²…

A: To find the equation of plane?

Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = - 4k…

A:

Q: Find the distance between the point (1, 1,-5) to the y-axis.

A:

Q: Which of the following functions are continuous on the interval 1 < x < 7? A. h(x) B. f(x) = 2² +²36…

A: In this question, we will check the given function is continuous.

Q: A trough is 2 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end…

A: The given function is  and the interval is .The current situation can represents as shown below.

Q: For f(x)=x² and g(x)=x²+2, (a) fog (b) gof find the following composite functions and state the…

A: The given functions are  and .The aim is to find the composite functions  and .

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. xy = 27, (-9,…

A:

Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = = 9 √x…

A:

Q: Find the derivative of the logarithmic function. f(x) = In(-⁹x2) 9x Step 1 Rewrite the given…

A:

Q: Let A:= {KKEN, K<20), B:= {3K-1: KEN), and C: = {2K +1: KEN} Determine the sets: A) An Bn C B) (A^…

A:

Q: 2. dy + 2y = 0 dx de 53,

A:

Q: EX(1) Find the general solution of the differentiales. z" + y = cot (x)

A:

Q: O Question 7 The slope of the tangent line to the curve y J Preview Submit Question Preview 2 The…

A:

Q: 1. Find the partial derivatives f(x,y) and (x,y) if f (x,y) = 6xy - x³ y4 +7x - 2. Find the partial…

A:

Q: 35. Motion of a Golf Ball A golf ball is hit with an initial velocity of 130 feet per second at an…

A: A golf ball is hit with an initial velocity of 130 feet per second at an initial velocity of 130…

Q: Use log differentiation to find dy/dx  y=x^6x a) 6x^6x (lnx+1) b) 6x^6x-1 c) 6(lnx+1) d) 6x^5x

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. y = ln x4 y 6 K…

A:

Q: 3x + 5 x→∞ 7x + 2 (b) lim

A:

Q: Complete the table to find the derivative of the function. Original Function Rewrite Differentiate 8…

A:

Q: 323 - 11/4

A:

Q: termine the points in the interval (1, 6) at which the function has discontinuities. For each nt…

A: Check the continuity of graph in the given interval and find if there is any discontinuity and give…

Q: 1. Find the differential equations of the given relations by elimination of arbitrary constants. y =…

A:

Q: A volume is described as follows: 1. the base is the region bounded by x=-y² + 8y +28 and x = y² -…

A:

Q: Discuss the continuity of the function f(x)= [x², x≤1 1+x, x>1 at x = 1.

A: given function To find: continuity of the function at x=1

Q: Consider lim ex-x² x →∞ 2 a) lim 4x x x→∞ b) If we let t lim t -00 = 4x − x², then we can rewrite…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: (a) Complete the table of values for the difference quotient for s(x) = x at x = 2 for each value of…

A: (a) Complete the table of values?(b) s'(2)?

Q: 1 Consider the functions f(x) = 5x +3 and g(x)=(x-3). (a) Find f(g(x)). (b) Find g(f(x)). (c)…

A:

Q: 1. dy dx. = 5y

A: To find the general solution of the given differential equation. To give the largest interval over…

Q: The equation r(t) = (5 cos t) i + (6 sin t)j + (9t) k is the position of a particle in space at time…

A:

Q: 7. Practice with continuity. a. b. Locate the discontinuities of the function. 9 7+e5/a X = Y Use…

A:

Q: Find all the value(s) of x at which f(x) = answer, give all of the x-values separated enter 3, 5.…

A:

Q: This is the graph of the function f(x) = x² +2. Use integration to calculate the area of the shaded…

A:

Q: Please

A:

Q: 1. Triangle PQR is drawn with QR = 6.00cm, PR = 7.50cm, and m/QPR = 30°. What is m/PQR. 38.7° or…

A:

Q: Determine which one of the following defines y implicitly rather than explicitly. a) y= 3sinx b)…

A:

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A:

Q: Determine the critical point of the function and use the critical studied to classify it(s) as a…

A:

Q: Identify the symmetries of the curve r² = 4 cos 0. Then sketch the curve in the xy-plane Identify…

A: Draw the curve for  on the cartesian plane.

Q: 01- (71^^5 + (71, A²/2 + (7) A = √ylt] = Laplace transform to volve y²107 = 5 vje 0=1015 +1

A: given differential equation solve using Laplace transform method

Q: What is the largest set of real values r such that the sequence limn→∞r converges (a) 0≤r ≤ 1 (b) −1…

A:

Q: 2. Find AB, where -1 4043-690 B = 1 -2 5 = [ A = 2 2 -1 -5 1 -2 1 2

A:

Q: 4. Use the graph of f given below to evaluate the following limits, if they exist: 4 3 -4 -3 -2 -1 2…

A: The graph of the function is given

Q: Question 2 The graph below is the function f(x) -5 -4 -3 lim I-4- 9 4 3 2 1 lim I→−4+ d -3 -4 Find…

A: