At two points on the curve y = x3 − 6x2 + 8x − 1, the slope of the tangent line is −1. Find these two points.

Q: Using: lim f(x) = 5 and lim g(x) = 6, evaluate the limits, I→2 #→2 lim f(x)g(x) I-2 f(x) lim I→2…

A: We will solve these limits using basic limit rules.

Q: If f (x) = √x² - 6x +10, then what is the derivative of f at x=3 ? Round to the nearest tenth.

A: If fx=x4-6x+10, then to find the derivative of fx at x=3.

Q: Find the given vector. 1. e, where v = (4, -2, -1).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: A retailer has been selling 1,000 computers a week at $750 each. The marketing department predicts…

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Q: The equation of the line that goes through the point (5,9) and is perpendicular to the line 4x + 2y…

A: given line goes through the point (5,9) and perpendicular to line 4x+2y=2

Q: - 4 f(x) = (x+5)(BX- 7) 3_t46)(Ibt n )2 اہیے را

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Q: Find polar coordinates for each point in rectangular coordinates with a positive radial coordinate…

A: Given :- Rectangular coordinates with a positive radial coordinate and a negative radial coordinate.…

Q: Use the graph of the function f shown to the right to find f(-4), f(-3), and f(-2). f(-4)= f(-3) =…

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Q: Find the curvature of r(t) = (2t², In(t), t In(t)) at the point (2, 0, 0). K = Need Help? Read it

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Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

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Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) 2x +9y 5x – 2y

A: given function is f(x,y)=2x+9y5x-2y

Q: Find a parametrization of the line in which the planes x+2y + 6z= -1 and 2x + 3y +9z = -3 intersect.…

A: Solving the problem

Q: Differentiate the following function. Do not simplify f(x)= √sin (cosx)

A: fx=sin2cosx

Q: дz əz Use the chain rule to find and Əs at z = (x - y)², x = s²t, y = st² əz as əz at || =

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Q: Find the plane determined by the intersecting lines. L1 x= -1+2t y=2+t z = 1 - 3t L2 x=1-4s y = 1+2s…

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Q: 20. Which statement represents the relationship between P = {9, 11, 13, 15, 17) and Q = (2, 4, 6, 8,…

A: As per guidelines we are supposed to answer first question only please repost the Other question.

Q: Given u = a. 27 + 47 b. u c. u x d. lul V V [-4,4, 4] and = - [-5,6, 2] find

A: Addition of two vector formula and product rules

Q: Assignment: Consider the region bounded by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. B.…

A: Consider the region bounded by the parabolas:  y=x2+4x+3 and y=-x2+2x+3 To calculate the volume of…

Q: 1. Verify that y = e²x — e-* −1 is a solution for y" - y' -2y = 2

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Q: Cheap Chips Corp. monthly profit (in dollars) derived from the production and sale of device model…

A: Cheap Chips Corp. monthly profit (in dollars) derived from the production  and sale of device model…

Q: Consider the table below for lim (f (h)). Step 2 of 2: Find lim (f (h)). h-673" h 672.5 672.9 672.99…

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Q: Use the chain rule to find dz dt || dz dt z = sin(x) cos(y), x = √t₁ y || LO 5 + |

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Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

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Q: If f is a differentiable function with derivative 1-x x²+1 intervals is f concave up? f'(x) = 3 then…

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Q: x² c² and y=c²x² is 2 C - 2 Find c> 0 such that the area of the region enclosed by the parabolas y =…

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Q: Is the line x = -8-6t, y = −8+9t, z = -9t parallel to the plane 3x+y-z=9? Give reasons for your…

A: To find the dot product of given line and find the line is parallel or not.

Q: A man gets a job with a salary of 31800 dollars a year. He is promised a 2780 dollars raise each…

A:

Q: Given the points S(5, 4, 3), and T(2, 1, 2), determine a) the Cartesian coordinates of ST c) the…

A: Given the points S5, 4, 3, and T2, 1, 2, then to determine: (a) the Cartesian coordinates of ST→ (b)…

Q: f(t) = t sin(at) 14. f(t) nat

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Q: Use the chain rule to find əz Əs z = (x - y)², x = s²t, y = st² дz at = and az z =…

A: ∂z∂s = ∂z∂x×∂x∂s using chain rulewhere∂z∂x is partial differentiation of z with respect to x keeping…

Q: Use a calculator to find the acute angle between the planes given below x+2y + 2z = 8, x-y-3z=5 The…

A: x+2y+2z=8x-y-3z=5

Q: Compute 1. x²ex³dx.

A: ∫-∞0x2ex3dx

Q: The demand function for device model PWX641 is given by p(z) = 510-0.792², where p is the unit price…

A: Given demand function  p( x ) = 510 - 0.79x2 Given data  dpdt = 6 dollarweekp = $194

Q: 2. Solve by separating variables and check y'= 4x³y with initial conditions_y(0) = 2…

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Q: Sketch the graph of the following parametric equations. a. x = 4, y = sint b. x = e^t, y = e^2t, t ∈…

A: a) x=4 ,y=sint b) x=et,y=e2t ,t∈[0,∞) c)x=3sint,y=4cost ,t∈0,pi

Q: 29 / 36 determine the derivative function (for). 9. Let f be the R²R function defined by f(x, y) =…

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Q: Find the distance, d, between the point S(5,3,8) and the plane 4x + 1y + 12 = 4 The distance, d, is

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Q: Use the table to the right to find the given derivative. d[ f(x) dx x+3 x=4 f(x) [X3] (Simplify your…

A: Given that ddxfxx+3x=4

Q: Let f(x) be a continuous and differentiable function such that f(3)=7 and 2 < f'(x) < 4 for all x.…

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Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

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Q: I have a few questions: How did you get from (sin2(x)+sin(x)+5sin(x)+5)/(sin2(x)-12) to…

A: Given:f(x)g(x)=sin2x + 6sinx + 5sin2x - 12   Basic information: 1. x2 + a+bx +ab =x+ax+b2.…

Q: Rpup (hur +81 0=1²² x=h₁ б E I =

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Q: The integral J W 6 3t 1 + 9t² 1 By substitution we have 3 18 1 + 9t² dt can be rewritten as In(1 +…

A: Given:

Q: (b) J 32+3 22²-2-1 dx

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Q: graph to the left (in black) gives f(x), while the graph to the right gives g(x) (which is constant…

A: ddxfgxx=30

Q: 1. Differentiate the following functions f(x)= f(x) = x² cos(x) a. b. f(x) = sin²(5x) c. f(x) = sinx…

A: The given functions, a) fx=x2cosxb) fx=sin25xc) fx=sinx cosx We have to find the derivative of each…

Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

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Q: The following graph of the function f satisfies limf(x) = -1. In the following exercises, determine…

A: Given :- The graph of the function f satisfies with limx→3f(x)=-1 To find :- A value of δ&gt;0 That…

Q: A manufacturer has been selling 1150 television sets a week at $420 each. A market survey indicates…

A: Given :- At $420, A manufacturer sold number of televisions are 1150. And at $21 rebate offered to a…

Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

A: