Use implicit differentiation to find an equation of the tangent line to the graph at the given point. x² + xy + y² = 64, (8,0) y(x):

Q: Find the radius and center of the sphere [Hint Complete the square in each variable…

A:

Q: The derivative of the function f is defined by f'(x) = (x² + 2) sin (2x − 2). If ƒ (2) = 7, what is…

A: answer is in next step. please give a like!!

Q: Find the limit. (Hint: Let x = 1/t and find the limit as t-ot.) lim 7x tan(2) Step 1 You are asked…

A:

Q: The function f(x) = 2x³ - 36x² + 162x - 10 has two critical numbers. The smaller one is x = and the…

A:

Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

A: Given  C'x = 3x2-6x;  C0=3,000.

Q: Two cars are moving towards an intersection. One car is 190 meters north of the intersection and…

A: Given:Distance of the car approaching from the north to the intersection, X=190 m  Distance of the…

Q: Write the equation r2² +r(4 sin 0-4 cos 0) = 0 in Cartesian coordinates and identify the…

A:

Q: The area of a semicircle of radius 1 can be expressed as S√₁-2²dx Use the substitution x = cost to…

A: This question can be solved using the concept of definite integrals.

Q: G A rectangle has its two lower corners on the x-axis and its two upper corners on the parabola y =…

A:

Q: limit, if it exists. 5X +8 x--4x - 7 ree of the numerator is equal to equal to the degree of the…

A:

Q: Find the volume of the solid generated by revolving the region about the given line. 19) The region…

A:

Q: Use the Ratio Test to determine if the series converges. M8 k=1 %*x Select the correct choice below…

A: Ratio Test : Consider the given series ∑k=1∞ ak .and L = limk→∞ ak+1ak , then(i)If  L<1, then…

Q: them, it exists. 7x² + x 4x² + 6x² + x Ilm

A:

Q: Let f be the function given by f(x) = 4x¹. What is the approximation for f(1.15) found by using the…

A: The answer is given below:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular a. 1 unit b. 2…

A: 1. Determine the value of a so that A= 2i +aj +k and B= 4i-2j-2k are perpendicular. We have, A= 2i…

Q: A company that produces cell phones has a cost function of C = 20x² - 541x + 22940, where C' is the…

A: This question can be solved using the concept of maxima and minima.

Q: 30. A trough has ends shaped like isosceles triangles, with width 3 m and height 4 m, and the trough…

A:

Q: (c) Compute the principal unit normal vector N of r(t).

A: Given :  Unit tangent vector  T(t)=11+5t21,t,2t,    0≤t≤2 T(t)=11+5t2,t1+5t2,2t1+5t2,    0≤t≤2…

Q: Consider the function f(x) = 12x5 + 45x¹ - 200x³ + 6. f(x) has inflection points at (reading from…

A:

Q: xydx - (x^2+3y^2)dy =0 Solve for general solution .(show complete solution)

A: Given, xy dx - (x2+3y2) dy =0

Q: If f(x) = 2x² - 2x + 3, find f'(3). Use this to find the linear approximation to f(x) at z = 3. The…

A: We will find the required.

Q: A particle is moving with acceleration a(t) 24t+12. its position at time t = 0 is 8(0) = 13 and its…

A:

Q: For the following, give the number of protons, neutrons, and electrons 37 C11- 17

A: Given data:- C1737l1-

Q: Find the characteristic equation for the matrix 2 (13). and use it to compute M-¹. M

A:

Q: Does the sequence {an} converge or diverge? Find the limit if the sequence is convergent. an = tan…

A:

Q: Use l'Hopital's rule to find the limit. (√x² + 4x - x) 51) lim X→00

A: Given; Limx-infinity [sqrt(x2+4x) -x]. Repost the next question.

Q: Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall…

A:

Q: Consider the function f(x) Find the value of A: A = - 4x² + 4x 1. f(x) has a critical point at x =…

A:

Q: Question 2 Find the second derivative of the function f(x) = x² - 3x and choose the correct answer.…

A: To find the second derivative of the given function.

Q: Solve the OPTIMIZATION problems. The inverse demand function for a commodity is given by p=41-0.33q…

A: We have to find the maximum profit.

Q: Solve the initial value problem. d²s_ dt² 34) -128cos (8t), s (0) = 6, s(0) = 8

A:

Q: I need the integration solution in the easiest way, a step-by-step solution and a clear line, please…

A:

Q: Question 1 Nondifferentiable graph.png Find the x-values (there are three values) from the graph,…

A:

Q: (a) Estimate the area under the graph of the function f(x) = subintervals and right endpoints. Round…

A: The given function is fx=1x+7 from x=0 to x=1

Q: c) An asset has a scrap value of RM9,500 at the end of 7 years and the book value of RM12,000 at the…

A:

Q: 11. Sketch the graph of the following function. f(x)= x³ - 6x² - 9x [1]x- and y-intercepts

A:

Q: (2x + 3)y' = y + √2x + 3, when x = -1, y = 0

A:

Q: y = 3x-2x²+x-5; y""

A:

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. 14)…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Given the following functions: f(u) = u⁹/2 and g(x) = x¹0 + 1. Find: f(g(x)) f'(u) = f'(g(x)) g'(x)…

A:

Q: 13. Show that there are no tangents to the curve y = can be concluded about the graph? 2x+1 4x +3…

A: We have to find the nature of curve.

Q: use euler's method with step size 0.4 to compute the approximate y-values y(1.4) and y(1.8), of the…

A:

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

A:

Q: 10. For the position function s = 313-712-2t,t> 0, choose the correct answer for t=2. a) Is s…

A: Question - For the position function s = 3t3 - 7t2 - 2t ;  t > 0  choose the correct answer for…

Q: 323. [T] The number of cell phones produced when x dollars is spent on labor and y dollars is spent…

A: The number of cell phones produced when x dollars is spent on labor and y dollars is spent on…

Q: Evaluate fs 2 ds a. 2(sln2 - 1) (In2)² b. 25 (sln2 - 1) (In 2)2 c. 2² (² + 1) 2 d. 25 * (12-1)

A: To evaluate the given integral

Q: What is the equation of the standard hyperbola with vertices at (0, ±a) and foci at (0, ±c)? Choose…

A:

Q: A farmer wants to fence an area of 6 million square feet in a rectangular field and then divide it…

A:

Q: jw F(w). [a - acos (wr)] - A 1 Tjw jwF(W) = -2A (1-cos (WT)). Tjw jwF(W) = -2A (asin ² (WT)) Tjw How…

A: since we have a trigonometric identity:                                   cos(2θ) =1-2 sin2(θ)⇒ 2…