A graphing calculator is recommended. The curve y = 1 1 + x² y = is called a witch of Maria Agnesi. (a) Find an equation of the tangent line to this curve at the point (1, (¹,¹).

Q: At what point (x, y) is the function f(x) = -8x - 8 closest to the origin? Enter an exact answer.…

A:

Q: If sin x = sin y = a and cos x = cos y = b, then cos (x - y) is equivalent to A. OB. C. D. b²-a² b²+…

A: Given sin(x)=sin(y)=acos(x)=cos(y)=b

Q: Find the gradient of the function y at x = 4.

A:

Q: 1. Convert the following general form to standard form of parabola. 4x²-24-40y-4-0 b. x²-2x-6y+25=0…

A:

Q: Fill in the missing values to make the equations true. (a) log, 3 + log, 8 = log, 5 (b) log₂ 5 -…

A: Given Equations:- log53+log58=log5 log25-log2=log257 log325=log35

Q: Find f′(x).   f(x)=(0.3x+6)(0.6x−7)

A:

Q: (2n+1)! b) Ση=1 (3)η

A: Let us consider a series ∑n=1∞un with limn->∞un+1un>1 and also {un} is monotonic increasing…

Q: Water is leaking out of an inverted conical tank at a rate of 8000 cubic centimeters per min at the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 8 2 √√√8x - x² dx 0

A:

Q: Find the value or values of c that satisfy the equation C= f(x) = 4x + 4 X [16.16 f(b)-f(a) b-a (Use…

A:

Q: its radical so how do u do 409 racial 3

A: To explain how the radical is simplified.

Q: 2700 360 * 31, cos 0 = 1/8, 311/2 <0 < 2 ४ 1% کے too (1) ³+ (8) ²

A: given  cos∅=183π2&lt;∅&lt;2π there for ∅ is in 4 quadrant in 4 quadrant sin∅ is negative and tan∅ is…

Q: (a) A water container, whose circular cross section is 6 ft in diameter and whose height is 8 ft, is…

A: Given:    A = area of the tank a = area of bottom hole…

Q: BC cuts the x-axis at D. E is a point on AC such that BA // DE. Given points A(-4,8), B(5,2),…

A:

Q: d dx tan x S 2 2 1 + tdt

A:

Q: A formula for calculating the magnitude of an carthquake is M = -log() that uses the common (base…

A:

Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

A:

Q: Use the First Derivative Test to find the location of all local extrem below. Enter an exact answer.…

A: Given

Q: 1) Use the Comparison Test to determine whether the infinite series is convergent. ∞     k = 2…

A: Comparison Test:- If a series of the form ∑n=1∞an is given. Also if we know that ∑n=1∞an≤∑n=1∞bn…

Q: Use a local linear approximation to estimate the value of 26.46. calculator.)

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the cube root of  so…

Q: Obtain the general solution by the indicated technique: separation of variables 1.1 adß+…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Prove: If U AUB and An B = Ø, then A = U\ B

A: we can prove the  given statement .

Q: Consider the function f(x) below. At what value(s) of x are the inflection points? Enter answer…

A: for inflrction points  put   f''(x)=0d dx(xn)=nxn-1d dx(constant)=0

Q: Given f(x, y) = sin(x2) + xy³, find Duf(x, y) where u is in the direction of (1, 2). What is Duf(-2,…

A: To find the directional derivative of given by function

Q: Use polar coordinates to set up and evaluate the double integral JJ f(x, y) = 5arctan, R: x² + y²…

A:

Q: K A Coast Guard Station Able is located L=200 miles due south of Station Baker. A ship at sea sends…

A:

Q: Find a power series representation for the function. (Give your power series representation centered…

A:

Q: have found the minimum distance using the second derivative and write a thorough conclusion. to a…

A: Given:    Curve      y=lnx2   Let x,y be point on curve             Another point is 52,0 We know…

Q: S sin² (x) cos(x) dx

A:

Q: Express each of the following in terms of a reference angle. 29.) a. sin 128⁰ c. sin(-37°) 30.) a.…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Grain pouring from a chute at the rate of 12 ft3/min forms a conical pile whose height is always…

A: How fast is the height of the pile increasing at the instant when the pile is 8ft high? change in…

Q: 5/136 A cable weighing 25 newtons per meter of length is suspended from point A and passes over the…

A:

Q: Find x. Round your answer to the nearest tenth of a degree. 15 x 12

A: As we know from the trigonometric ratios:…

Q: xy Find the linear approximation to f(x, y, z)= at the point (-3,-3,1): f(x, y, z) ~ ←

A: Topic = Derivatives

Q: write the cubic polynomial function f(x) in expanded form with zeros -4, -1, and 3, given that…

A: given zeros  -4,-1 and 3standerd form is  f(x)=a(x+4)(x+1)(x-3)given   f(2)=20

Q: The equation N (t) 550 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

A:

Q: (²cos(x)) = 2cos(x) — 4xsin(x) – x² cos(x) Otrue O false

A:

Q: Let F(x, y, z) = x³i+y³j+z³k. Compute the following: (i) V.F (ii) V X F

A: i) Given:       Fx,y,z=x3i+y3j+z3k then         ∇·F=∂∂xx3+∂∂yy3+∂∂zz3                 =3x2+3y2+3z2…

Q: S E none of these F u= (2-4x) 1/4

A: We need to find out the correct option for the substitution.

Q: a. Solve the logarithmic equations. 1. log, 64 m 2. loggn=3 3. log, 4096 =3 4. 10g329=3 b. Study the…

A:

Q: Use implicit differentiation to find y′ for the equation below and then evaluate y′at the indicated…

A:

Q: Question Three (a) Prove that F(x, y, z)= (y² cosa+z³)i+(2y sin a-4)j+(3rz+2)k is a conservative…

A:

Q: The figure above shows the graph of the continuous function f. The regions A, B, C, D, and E have…

A: The area of region A =5It is above x - axis therefore, ∫-7-5f(t)dt = 5The area of region B =2That is…

Q: Find the eigenvalues of the upper triangular matrix [3 4 5 0 6 7 0 0 8]

A: The given matrix, 345067008 We have to find the eigen values of the matrix.

Q: If the rate of change of a population is directly proportional to the square of the population and…

A: If the rate of change of a population is directly proportional to the square of the population and…

Q: Find the equation of the tangent plane to at the point (0, 5, 34). z = z = e² + y + y² +3

A: The given equation is; z=ex+y+y2+3 Point (0,5,34).

Q: Question 6 Which of the following techniques is best to use to evaluate the given integral? A e 3+e…

A: Given, ∫ex3+e2xdx

Q: Use the graph of the function to estimate the interval on which the function is increasing. y -SA-…

A: Increasing Function:  If f(x) is a function, and x1 and x2 are any points in the domain such that x1…

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). x18 x118 Provide your answer…

A:

Q: An object is projected directly upward from the ground with an initial velocity of 128feet per…

A: