Use the limit definition of the derivative to find the slope of the tangent line to the curve f(x) = 3x - 2 at x = -5

Q: 8) Graph the function. Be sure to label all the asymptotes. List the domain and the x and y…

A: According to our guidelines,i can solve only first please reroute the remaining question.

Q: Let C be the curve of intersection of the spheres x² + y² + z² = 27 and (x − 2)² + (y − 2)² + z² =…

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Q: f(x) = = 100 - 2x, x + 2 [-102, 8]

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Q: Use linear approximation to approximate √/36.3 as follows. Let f(x)=√x. The equation of the tangent…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=36 the point on the…

Q: The total cost, in dollars, to produce q units is given by C(q) = 500 + 3q+q². Find C'(10).

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Q: 1 2 2 x ² 24 V 1- cos x x² < 1 7|2

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Q: Determine the point (x,y)(x,y) on the unit circle associated with the following real number S .…

A: Determine the point (x,y)(x,y) on the unit circle associated with the following real number S .…

Q: Find the tangent line to the implicitly defined curve y³ + 3x²y + x³ = 5 at (1, 1).

A: Given:     y3+3x2y+x3=5Differentiating both sides we get the following.⇒dydx=-xx+2yx2+y2 At (x, y) =…

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Q: Find a particular solution to the differential equation using the Method of Undetermined…

A: Given differential equation be y''+14y'+28y=6675e2tcos15t. We need to find the particular solution…

Q: Find the maximum and minimum values of f(x, y) = 3x + y on the ellipse x² + 36y² = 1 maximum value:…

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Q: From the given graph of 9, state the numbers at which a is IS Continuous and explain why? मेर -2 1 2…

A: Given query is to find the points where graph is discontinuous.

Q: Find an equation for the tangent line to the curve given parametrically by y(t) = 4t² + t - 1 2t…

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Q: Suppose f(x, y) = (x − y)(16 – xy). Answer the following. Each answer should be a list of points (a,…

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Q: a) b) c) v₁.0₂ = Round your answer to 3 decimal places. V3 V4 = Round your answer to 3 decimal…

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Q: Find a unit vector n that is normal to the surface 4z² x - 2y = 46 at P = (2, 1, 4) that points in…

A: See this solution in below

Q: Let f(x) = 5x6 if x ≤7 -8x+b if x>7 If f(x) is a function which is continuous everywhere, then we…

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Q: a lim x³²-x² X→ I X-1 b) lim X- UT 5 4-1 (2x-1) (3x²+2x-7)(x²³-9x)

A: SOLUTION-

Q: Equations of Order One: Separation of Variables Instructions: Obtain the general solution of the…

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Q: Determine the arc length of the astroid shown in Y Y X

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Q: ind e such that the function (x) ={102-31 z>C continuous everywhere.

A: Topic:- application of calculus

Q: The equation for the tangent line to the curve x² + y = 4 when x = 6 is y = i X + i

A: Topic =  Derivative

Q: V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete…

A: see below the answer and explanation

Q: Consider the function given by x² f(x) = - 1 |x| − 1 - x² + 4x + 5 8cos(4x) + 2x - 6 if if if x 0

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Q: Suppose f(x,y)=x3y. At the point (1,2), in which direction does f have the maximum rate of change?…

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Q: 3. Find the derivatives: a) f(x) = 3x³-4 2x²+3 b) DO NOT SIMPLIFY y = (x² + 6x + 2)(²+√x + 3) c)…

A: Given; a) f(x)=(3x3-4)/(2x2+3) b) y= (x2+6x+2)(2/x4 + 3sqrt(x5) +3) c) g(x)=-2csc7x+8sin3x+12tan2x…

Q: dy + (2xy - x√y) dx = 0

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Q: Find the differential of the function z=e-xcos(y) dz=

A: Given query is to find the differential of the expression.

Q: Σnn - 1cnx" + 2 nn - 1)x"-2 – 6 Σεx" = 0 n=2 n=2 n=0. 00 Σκα - 1cx*+ Σ« + 2k + 1)c+2x* – 6 Σax* = 0…

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

Q: II. For each of the following ellipses, find the center, principal axis, vertices, co - vertices,…

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Q: Consider the following. F(x) = * sec²(t) dt JR/3 (a) Integrate to find F as a function of x. F(x) =…

A: Consider the following.Fx=∫π3x sec2t dt a To integrate to find F as a function of x.b To demonstrate…

Q: what is df=

A: As you ask about df so i am only defining it.

Q: Find dy/dx by implicit differentiation: 2x3 + x2y − xy3 = 4

A: The given equation 2x3+x2y-xy3=4 We have to find the value of dydx by using implicit derivative.

Q: The polynomial P(x) has the following characteristics: ● degree 3 . a root of multiplicity 2 at x =…

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x),    a = pi/3

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Q: Approximate the area between the x-axis and the graph of f(x) = √√x + 2 over the interval [1, 3] by…

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Q: Suppose g(x, y) = x³ - 6xy + 6y². Answer the following. In each case give all three coordinates of…

A: See this solution in below.

Q: Example: The total profit (in collars) from the Sale of. Cameras is P(x)=12x + 50-1000 Find. @the…

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Q: 10. Suppose for a differentiable function g(x), we have X g'(x) = ( − 3)³ (5x – 6). Identify and…

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Q: Consider the parametric equation X = = 2 cost, y= sin t 9 = t². 2 = (a) Describe the curve in 3…

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Q: Find the gradient of f(x,y)=ln(x^2+y^2).    ∇f=__________ i+__________ j

A: Given query is to find the the gradient of the function.

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The function is given as , gx=e-x4 , -2≤x≤1 Find the absolute maxima and minima values. Then graph…

Q: Find an equation of the tangent line to the curve at the given point. et²-y = (6,36) (Express…

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Q: Find an equation for the tangent line to the curve given parametrically by x(t) = 3t sin at the…

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Q: IV. Given the functions f(x) = 2x + 5, g(x) = -x² - 6x + 7, and h(x) = the following. Show complete…

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Q: Use an appropriate substitution to solve the equation Observe that, if n = 0 or 1, the Bernoulli…

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Q: Find the GS of d (D − 3)² (D – 2)³(D² − 4D + 5)y(x) = 0 where D = - - dx

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Q: A 25-year-old woman burns 150 - 40t cal/hr while walking on her treadmill. Her caloric intake from…

A: calorie burned=187.5 calorie

Q: π/6 [2/07 7 sec²(x) dx T/6

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Q: f(x+h)-f(x) h 2. Find f'(x) using f'(x) = lim h→0 a) f(x) = x+2 for one of the following functions:…

A: Solved below