(8) Given x²/3-y²/3 - y = 3, find ae equation of the tangent line at the point (1,-1).

Q: a).y³ - 5y= 5x² + 7 point: (1,3)

A: According to the Bartleby guidelines we are supposed to do the first one of multiple questions…

Q: find all local maximums and minimums of function f (x) = x3 − 3x2 − 9x + 5

A: f(x)=x3−3x2−9x+5Using the power Ruleddxxn=nxn−1

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

A:

Q: Find the derivative of the function f(x) = 2x-3+x² + 14. f'(x) =

A: Solution-

Q: Find the limit using the formal limit definition for f(x) 1

A: Differentiation

Q: Enter DNE if the limit does not exist. a) lim g(x) = _8+x b) lim g(x) = I→8+ c) lim g(x) = x→8 g(x)…

A:

Q: Use scratch paper to complete the table below, and estimate the value of the limx→o+ f(x) where ƒ(x)…

A: The objective of this question is to estimate the limit of the function f(x) = 5x * ln(x² + 4) as x…

Q: h(s)=-2√s S

A: X Intercepts: (0, 0), Y Intercepts: (0,0)Asymptotes: NoneExtreme Points: Maximum (0, 0)

Q: For y=(x-1)²-1, find the following a- Test the symmetry of (y). b- The intercept point of (y). c-…

A: y=(x-1)2-1

Q: Image attached shows the graph of the derivative of a continuous function g. a) List the critical…

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Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region…

A:

Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: y=-x+8

Q: A rocket is launched straight up into the air and is being watched by a crowd of people 12.5 miles…

A:

Q: Σ((k+1)³ - k³) = [5³ − 4³] + [4³ − 3³] + [3³ − 2³] + [2³ − 1³] k=1 = 5³ - 1³ = 124. For convenience,…

A:

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

A:

Q: lim 70 x csc (8x) cos(3x)

A:

Q: Write a possible equation for a polynomial function zeros of 2, -3, and 0.

A: Zeros of polynomial function are 2,-3, and 0

Q: Solve the system,Cramer's Rule and check all the solution : X+3y-2z = 11 4x-2y+z=-15 3x+4y-z = 3

A:

Q: Find the volume of the area bound by y=x^3, y=0 and x=1 if rotated about x=2.  Use washer method.

A: Region is bounded by y=x3,y=0,x=1Rotating the region about x=2x=y1/30≤y≤1Using the washer method

Q: Evaluate the integral by completing the square and applying appropriate formulas from geometry.…

A: Topic = Integration

Q: Suppose the production level is 1,188 car seats.  Compute the instantaneous rate of change of…

A: The objective of this question is to find the instantaneous rate of change of revenue at a…

Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x)=x² + 4x-8 f'(x)…

A: The objective of this question is to find the derivative of the function f(x) = x^2 + 4x - 8 using…

Q: Find the derivative of the dot product (u(t) • v(t)) if u(t) and v(t) equal the following (see image…

A: Given vectors are we are to find the derivative of u(t).v(t)

Q: Complete the missing spaces in the box for x Clear Undo Redo 3 z³+5x²+2x–8 2-1

A: Setup the Table: Draw a table with enough rows to accommodate the dividend polynomial and one…

Q: Suppose that 4 J of work is needed to stretch a spring from its natural length of 34 cm to a length…

A:

Q: Solve the initial-value problem for as a function of t. (t²-4t+3)- 1, (t > 3, x(8) = 0) dx dt x=

A: To solve the following initial value problem for x as a function of t.

Q: A student sets up the following equation to convert a measurement. (The ? stands for a number the…

A: A student setup the following equation to convert a measurement As we know that

Q: answer options: limit, difference quotient, rational function, and derivative.

A: The objective of the question is to identify the correct terms that fit into the given statements…

Q: Find the area of the sector of a circle with radius 19 inches formed by a central angle of 290°:

A:

Q: My equationis 62=52+42-2(5)(4)cosA. How do i solve for A?

A: The given equation is a form of the Law of Cosines, which is used to find the angle in a triangle…

Q: Use log, 2≈ 0.327, log, 30.503, and log, 50.842 to approximate the value of the given logarithm to 3…

A: By using , to approximate the value of  to 3 decimal places.

Q: s √√x² + 25 dx =

A: The given integral

Q: A ball is thrown straight down from the top of a 220-foot building with an initial velocity of -22…

A: Use the position function,  and substitute and  with -22 and 220, respectively. Differentiate s(t)…

Q: A small radio transmitter broadcasts in a 62 mile radius. If you drive along a straight line from a…

A: Given:A small radio transmitter broadcasts in a 62 mile radius.driver drives the car along a…

Q: 2. f(x) Analysis x-intercept (s): y-intercept: domain: -2x2 x² + 4 2

A: Accoeding to the Bartleby guidelines we are supposed to do the first three parts of multiple…

Q: 5. The shape shown below is made up of 8 equilateral triangles. Let TQ = u and SQ = v. T ū Write an…

A:

Q: If r(t) 0, show that r(t) = r(t) · r'(t). ‡

A:

Q: b) y² + sin(y) = 2x6 point: (3,0)

A: Given that,(b) using implicit differentiation to find at the point

Q: Sketch the graph of the following function: (1/(x − n) + 3 y = tan

A: The given function is: We have to graph the function.

Q: Find 9 JBS if [3f (x) - g (x)] dx = i 9 9 frode = 2 and 1200dx = 50 [80 (x) dx g (x)

A:

Q: Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.…

A:

Q: Find the slope of the tangent line to the graph of (x, y) =(sin(t), t²) when t = 2 slope= dy dx

A: (x,y)=(sin⁡(t),t2) when t=2

Q: Show that points (3,4,3), (2,0,-2), (2,1,0) and (6,10,6) all lie on the same plane.

A:

Q: Find S'if S = S' = (5x + 1)2 x²-2

A: The given function is

Q: Find all intervals on which the function ƒ(x) : = e 2x -3x+3 is decreasing.

A: given function

Q: Given f(x) = 4x²; a = - 3₁b = 4, n = 4; 4x₁ = 2, 4x₂ = 1, 4x3 = 3, 4x4 = = 1; x = = find the…

A: The given function  and the points  and the sample points .The objective is to find the value of…

Q: Given y=1-5x a 9 3-7x the Check determine - inverse equation (make yther the subject) that your eq…

A: The function is given as .To find the inverse of the function, replace x with y-1 and y with x.Then,

Q: Determine the number of paths that spell PASCAL. Can combinations be used to solve each question? a)…

A:

Q: 2. If f(w, x, y) = (6w+1) cos(3x²+ 4xy³ + y), find the partial derivatives fw, fx, and fy.

A: Partial differentiation

Q: The graph below is the function f(x) -5-4-3-2 4 3 2 4 -2 2 3 4 a Determine which one of the…

A: