Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P. y=3-2x²; P(-4,-29). (a) The slope of the curve at P is (Simplify your answer.)

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Q: Q/If you have the two matrices S M below, then the determinant of S*M is 22 17 S= 75 85 --[] 12 17…

A: Given S=221775851217 and M=954310605648

Q: x(x+1) 2x-1 4. y = 5. f(x) 6. y = = J at x = 0.6 1-3x+x³3 1 (1+√1-x)²¹ 7. 8. y = 52x+1, 1 2 at x = :…

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Q: BIU x² 5 4 X₂ 3 32 1 O 1 x 2 3 3.5 4 f(x) 1.653 2.02 2.533 22 E 3 ||| 4 5 Graph of f E P 7 6 4.5…

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Q: y" - 4y = cosh 2x

A: Differential equation

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A: Chain rule of differentiation is used.

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A: Given f(x)=x3+3x2-x-3

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Q: Find the general solution of the differential equation y (iv) + 2y''' y '' — 2y'=0.

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Q: answer 3 and 4, 5 write your solution on any peace of paper

A: Topic: algebra

Q: i. f(x) = 1 1 – 2x

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A: 8). The given curves are y2=4x and y2+12x=36. Now find the points of intersection between the given…

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Q: What is the auxiliary equation associated with the differential equation y'''- 3y"+4y=0? (A m³-3m² +…

A: Solution

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A: Topic:- application of derivatives

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Q: ar ar Q4:A: Find and of f(x,y,z)-x-√² +2² dr dy

A: We can find the answers in the below steps.

Q: 3. If x³y-xy³ = 2 find y' and y" at x=1.

A: Given data:- The given value of x is 1. x3y-xy3=2    ----(1)

Q: Sketch the graph of the function by first making a table of val f(x) = -x² X 0 +4 +3 +2 +1 f(x) =…

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Q: 3. (y² sin 2x) dx + (1 - y cos²x)dy = 0

A: solution is given below

Q: y" + 6y' + 9y = 100e ²x

A: y''+6y'+9y=100e2x

Q: A. Consider the following multivariable function z(x, y) where {a,b,c} are constant numbers. 1.…

A: Please see the below picture for detailed solution.

Q: Question 9 Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x? A B y=ce²x y = 3x + C…

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Q: Find the area bounded by the curve y = In x and the lines x = e, x = 2e and x-axis

A: formula used ∫lnx dx=xlnx-x+C

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Q: Q3. Prove that V(fg) = gVf + fVg where f and g are functions of x, y. [Make sure you know which…

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Q: Which is NOT a solution to the differential equation y" - 4y' +4y=0? A B [2x + 3xe ² y=2e²+ y = e 2…

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Q: For a binomial test, if pn True False 10 and qn = 30, then p www 0.25.

A: True

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Q: Q / If you have the quadrilateral matrix below, then the determinant of the matrix is /A/ A) = 0.2…

A: Given:…

Q: Which of the following is an integrating factor for the differential equation dy/dx=y=1?

A: Given: dy/dx-y=1. Find: Integrating Factor. Differential equation in form of dy/dx+Py=Q. Where P…

Q: The graph below is the function f(x) -5-4-3 -2 5 4 3 4 F-2 -2 -3 -4 Select all statements below that…

A: Here we have to choose the correct options.

Q: 9. Find the exact value of the distance between the lines L₁ : x = −3+3t, y=1+t, = = −4+4t L₂ :…

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Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

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Q: Question 13 What is the general solution of the differential equation y" - 2y'+y=0? y=Cu +Cre B…

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Q: The following table shows education expenditure in the United States as a percentage of total…

A: Given, Year in t years. Percentage P. According to given, P(9)= 25 P(15)= 27 P(19)= 26

Q: 4. For each of the following polynomial equations, determine if x = 1 is a root. (a) x³2x²-3x-2=0…

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Q: Which of the following is an integrating factor for the differential equation dy/dx-y=1? A B e - 2et

A: The standard form of 1st order linear differential equation is: dydx+Pxy=Qx Where P and Q is the…

Q: The proportion of carbon-14 still present in a sample after t years is e-0.00012, + Estimate the age…

A: Given proportional of Carbon-14 still present in a sample after t year is e^(-0.00012t)

Q: Prob 4 Evaluate Лет x→∞0 lim x-00 orctan (ex) 4-ex 1+20x and

A: 1) L=limx→∞arctan(ex) Direct substituting the limit:   L=arctan(e∞) e∞=∞ So, L=arctan(∞) We know…

Q: 4) w(x) = -3x - 4; Find w(7) 4-2, Find 6) g(n)=n² + 2; Find g(3)

A: (4) The function is given by wx = -3x-4 6) The function is given by gn = n2+2 To evaluate: The value…

Q: Which of the following is the differential equation of the family of cubics cy² = x²(x-a) with 'a'…

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Q: In Problems 1 and 2, y = 1/(1+cie) is a one-parameter family of solutions of the first-order DE y'=…

A: Given y'=y-y2 y0=-13

Q: According to the Consumer Expenditure Survey, the average American household spent $7,923 on food in…

A: Given:- Total average American household spent $7923 on food in 2018 About 25 amount was spent on…

Q: 0=8-1号-25号+ex (2)

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Q: (a) Graph the pdf. f(x) 0.6 0.5 0.4 0.3 0.2 0.1 1 0 0.025 0.025x+0.4 dx= (b) Calculate P(X ≤ 4). 2…

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Q: y=Get+Cocos x + C3 sinx

A: Since in this equation there are three arbitrary constant so differential equations is of order 3.