Graph the tangent line to the function defined implicitly by the equation below at the point (2,-2). -4x² + y² = -12 The black dot has already been placed at the desired point on the curve. The green dot should be placed at another point along the tangent line. Provide your answer below:

Q: 29. a(t) = -32; v(0) = 70; s(0) = 10 30. a(t) = -32; v(0) = 50; s(0) = 0 31. a(t) = -9.8; v(0)=20;…

A: 29) a(t)=-32, v(0)=70, s(0)=1031) a(t)=-9.8, v(0)=20, s(0)=0

Q: 2. Consider the curve y = sinx - on the inteval 0 ≤ x ≤ π/2. (a) Sketch the curve and shade in the…

A: (2)The curve is given as, on

Q: Find the Maclaurin series for f(x) = e-²x. Find the interval of convergence.

A:

Q: Question The graph of f(x) is shown below. Find the graph of f'(x). VA -6-5-4-3-2-1, 1 2 3 4 5 6 MN

A: A graph of the function  is given.The aim is to sketch the graph of the derivative function .

Q: In preparation for the NEXT problem, find the derivative of the SINGLE VARIABLE function. h(x) =…

A:

Q: A person invests 4500 dollars in a bank. The bank pays 5.25% interest compounded monthly. To the…

A:

Q: 2. Find the Maclaurin series of the following functions. 1. f (x) = xm 1-x³9 2. f (x) = x² sin² (4x)…

A:

Q: Evaluate the indefinite integral. Integral = / 7 dx x ln(6x)

A:

Q: How far did you travel according to your odometer? How far did you travel according to your three…

A: The objective of the question is to determine the distance traveled according to the odometer and…

Q: When calculing the Laplace transform of the function f(t)=t-sinh(t) is obtained as a result: A- F(s)…

A:

Q: 7. Determine critical points for each of the following functions. b. f(x) = x(4- x)³

A: To determine the critical points of the following function.

Q: 3. Solve the differential (a) xy' +2y = cosx, (b) y' + 2xy = 3x equation. x>0 colution of the…

A:

Q: Find the binomial series for the function (1 – 6x)³. (1-6x)³ =

A: Function:

Q: please answer c) d) and e) with steps

A: We need to find day of solstice.

Q: 3. What is the smallest perimeter possible for a rectangle whose area is 16 cm², and what are its…

A:

Q: Given the three functions below, which expression equals (rocoq)(x)? c(x) = 9x + 4 Answer 5 ○ (9 ( ²…

A:

Q: Find the Cartesian coordinates of the following points (given in polar coordinates). a. (1,0) b.…

A:

Q: Question Given the graph of f (x) below, what is the open interval(s) over which f'(x) is positive?…

A:

Q: Use a convergence test of your choice to determine whether the following series converges or…

A: Th3 given series is .

Q: Identify the degree, leading term, leading coefficient, constant, and the number of terms of the…

A:

Q: Consider the following relation. y = x + 2 Step 1 of 2: Find four points contained in the inverse.…

A:

Q: What is the derivative of f(x) = −‡x³ a at the point x = 3? Type an exact answer.

A: f(x)=−43x23 at the point x=3Using the power Ruleddxxn=nxn−1

Q: Please calculate whether this function is also differentiable, as well as continuous. Thanks.

A: Continuity at x=a:Differentiability at x=a:

Q: Find the following for the vectors v=6i +j and u = 9i+ √3j. a. v.u, vl. lul b. the cosine of the…

A:

Q: √x •SSES f(x, y)dydx. a) Sketch the region D of the integration. b) change the order of integration…

A:

Q: For the function  below, determine the open intervals where it is decreasing. f(x)=(x+4)^2/3 Group…

A: The objective of this question is to find the intervals where the function f(x) = (x+4)^2/3 is…

Q: Let f(x) = x² - 2x. 2 X Find the difference quotient f(x+h)-f(x) h , h‡0

A:

Q: 1 1 Find the area of the surface generated by revolving the curve x = cos (4t), y = 2 + ¯sin (4t) on…

A: x=14cos⁡(4t),y=2+14sin⁡(4t) on 0≤t≤π4 about the x-axis. ddxsin⁡(ax)=acos⁡(ax)ddxcos⁡(ax)=−asin⁡(ax)

Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by the…

A: The objective of this question is to find the approximate change in revenue when the sales of…

Q: 3 is given by f³√1+16x² dx. If the curve contains the point (1,5), which of the following could be…

A:

Q: Question Given the graph of the function f (x) below, estimate the slope of the tangent line to the…

A: The equation of line passes through points  is

Q: Using methods from class, which of the following choices of u could be used for finding a² e da…

A:

Q: Determine if the following function is continuous and differentiable at x = 0. ex - sinx 13x² + cos…

A: We need to determine if the function is continuous and differentiable.

Q: Find the angle between the vectors. u= -2i+4j, v = -2i+6j-5k The angle between the vectors is 0…

A:

Q: -1⁰+ Given the graph of f (x) shown above, evaluate lim f (x). X-3 Select the correct answer below:

A: given graph of f(x) to find the limit

Q: Find all the values of a such that the given series would converge. 9n (xn) (n + 1) (n +11) n=1 The…

A:

Q: Given the function g(x) = log² (f³(x conclude that © (A) g'(1) = 3 log 2 C (B) g'(1) = 10 © (C)…

A:

Q: Find all of the zeros of the function f(x) = (x²+2x − 12) (x³ +x² - 12x). If there is more than one…

A:

Q: 1. Show that y PRACTICE EXERCISES FOR $9.1, 89.5, X is a solution of the differential equation that…

A:

Q: find the critical points

A: given function

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. π/2 -…

A:

Q: distance of a moving car in terms of its speed is s = 0.21v + 0.00636v², where s is measured in…

A:

Q: P(x)= x³ + 12x²-21x + 100, x ≥ 4 is an approximation to the total profit (in thousands of dollars)…

A:

Q: For Question 5, region W is bounded by f(x) = 4+√9-x², g(x) = cos 7 104 9 8 7 6 5 4 3 2 1 + + + -3…

A: Region W is bounded by f(x)=4+9−x2,g(x)=cos⁡(π6x),x=0, and x=3 Area =∫03[f(x)−g(x)]dx

Q: Find all vectors u that satisfy the equation (1,1,1) xu= (-6,1,5). Select the correct choice below…

A:

Q: Determine the relative extrema for the function: y=2xe^x Group of answer choices relative minimum…

A: The objective of this question is to find the relative extrema of the function y=2xe^x. Relative…

Q: Please show all work

A: The objective of this problem is to evaluate the surface integral of the given vector field F across…

Q: Find a power series for the function, centered at c. 8x x² + 6x - 7 g(x) = g(x) 00 Σ n = 0 = c=0…

A:

Q: Suppose k(x) = f(g(h(x))). Given the table of values below, determine k'(-2). f(x) g(x) h(x) f'(x)…

A: xf(x)g(x)h(x)f′(x)g′(x)h′(x)−2−4−1046−7062−11−3820−5−8237

Q: Use the Divergence Theorem to evaluate [/F. F. N dS and find the outward flux of F through the…

A: ∫S∫F⋅NdSF(x,y,z)=xi+yj+zkS:x2+y2+z2=25Using the Divergence Theorem∬SF⋅NdS=∭EdivFdV…