Compute the difference quotient f(x+h)-f(x) h f(x+h)-f(x) h 6 X+1 for the function f(x)=- 4 Simplify your answer as much as possible.

Q: Is -187 9 -18 in the spanning set of Select an answer 2 7 3 2 " -721 6 ? 75

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Q: Let A = 3 -1 -31 4 Av = 3x - 3y ‚ B = OT B(A) =( 6x-6y x 12²2 and 7 = (x, y). [24] 1 - 1x + 4y ✔ or

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A: Given that position vector r(t)=32ti+12t-16t2j

Q: In Exercises 1 through 22, find the general solution. When the operator D is used, it is implied…

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Q: Solve the initial value problem for r as a vector function of t d²r dt² Differential equation: =-20k…

A: To solve the initial value problem for r as a vector function of t.Differential equation:…

Q: in first octant Use double integration to find the volume of solid -bounded above by z= 9-x², below…

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Q: If  lim x→1  (f(x) − 8)/(x-1)=2     , evaluate  lim x→1 f(x).

A: Given: limx→1f(x)-8x-1=2

Q: Suppose x = -5u 4v +2w and also x = -4u+5v +1w. Find another solution: X = −9u+1v+3 W Hint: Remember…

A: Here is the solution:

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Q: 2. R(z) = = -5/3 – 4z³/ - N Hint: Simplify.

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Q: Using Lagrange Multiplier, what are the maximum and minimum values of f(x, y) = 2x + y - 2z subject…

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Q: 1 Find the slope of the tangent to the curve f(x): at the point where x = 9 4 √x The slope of the…

A: The slope of the tangent to the curve y= f(x) at x = k  is  f '(k).

Q: Find Duf at P. f(x, y) = 3(1+xy) ³/2; P(3,1); u= NOTE: Enter the exact answer. Duf = 1 i+ j 1/2

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Use the method of tubes (also known as the "method cylindrical shells") to determine the volume of…

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Q: Which of the following is equivalent to: ƒ53 |x² − 4| dx? 0 √²3 4 − x² dx + √₂ x² 4 dx 0 ²3x² - 4 dx…

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Q: Which of the following are anti-derivatives of y' = sin xcosx ? I. F(x) COS II. F(x) = cos²x + C =…

A: Given;  y'=sinxcosx.

Q: A manufacturer has a monthly fixed cost of $22,500 and a production cost of $6 for each unit…

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Q: On

A: given point P(-8 ,5,6)  and   Q( 2,-1,5)then we have to find the equation of sphere which has centre…

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Q: Find all x-values where the function f(x) = Answer 2x + 9sinx has a horizontal tangent line. Select…

A: Given data:  Given Function f(x)=-92x +9sin(x)

Q: Evaluate f f (x) dx if f(x) 8 O 12 6 O 14 = 2x x - 1 if x ≤ 3 if x > 3

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Q: Which of the following functions are solutions to the 1-D wave equation? a²f Ət² 4 a²f 0х2 f =…

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Q: Suppose strontium-90 decays at a rate of 2 percent per year. (a) Write the fraction P of strontium…

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Q: 4. (-3, 3)- У x = y² - 4y x=2y-y² X

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Q: The point P(7, -2) lies on the curve y = (a) If Q is the point x, (i) 6.9 MpQ = (ii) 6.99 mpQ (iii)…

A: The point P7, -2 lies on the curve y=26-x.a If Q is the point x, 26-x, then to find the slope of the…

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Q: When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream…

A: Here we to find the maximum value.

Q: ind ted Problem 12: Captain Jack Sparrow has been marooned on an island in the 'Atlantic by his…

A: Given: 19 km east then 8.5 km in direction of8.5 degree north of east

Q: Evaluate ₁ f (x) dx if ƒ(x) · = O 14 O 12 O 8 06 2x x-1 if x 3

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Q: Find T, N, and K for the space curve r(t) = (12 sin t) i + (12 cos t) j+ 16t k.

A: As per guidelines we solve only first question if multiple questions are posted. Please repost the…

Q: 26 - x - 5 X→ 1 √5-x-2 Evaluate lim

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Q: A system of inequalities is defined by the following two equations. y=2e²-1-3 y = 1 The solution to…

A: Given:fx=2ex-1-3gx=1------------------------------The system contains the points -3,1 , -2,-1, 1,0 .…

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Q: The electric charge q (in C) passing a given point in a circuit is given by q = t sec √0.2t²+1,…

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Q: The National Ignition Facility at the Lawrence Livermore National Laboratory maintains the world's…

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Q: True or False? O True False The set Span{u, } can always be visualized as a plane through the…

A: A detailed solution is given below.

Q: Find an equation of the line where the planes Q and R intersect. Q: 2x + y -z = 1; R: x+y+z=0

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Q: Social Security recipients receive an automatic cost-of-living adjustment (COLA) once each year.…

A: Social security recipient recive an automatic cost of living adjustment (COLA) once each year Their…

Q: use the limit definition to compute f′(a) and find an equation of the tangent line.

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Q: 1. ƒ (x) = 10x² + 6x f 7

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Q: Assume that x and y are both differentiable functions of t. Find the required values of (a) Find dy…

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Q: Evaluate 3 2 sinh ln(2x) X cosh ln(2x) + C O O 3 cosh ln(2x) + C 6 cosh ln(2x) + С 3 sinh’ ln(2x)+C…

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Q: Estimate the limit numerically or state that the limit does not exist: 8 - 1 lim x-0 X = Give your…

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Q: 21. dx dt4 t = 16 x=t-3/4

A: here we have to find the forth derivative.

Q: Find the absolute extrema of the function on the closed interval y = 3x2/3 - 2x, minimum maximum (x,…

A: Given y = 3x23 - 2x

Q: -2 8- y = f(x) y=√√√x+1 y = 3x - 23 P(9,4) 13 What is the right-hand derivative of the given…

A: Solution: y = 3x -23 limh→0+f(9+h)-f(9)h

Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

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Q: Solve the initial value problem for r as a vector function of t. dr 1/2, = = 3(t + 1)¹⁄²¡+5€¯¹j+ + +…

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