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Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

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Q: In Exercises 3 to 7, find the extrema of f subject to the stated constraints. A=x=y+z_ subject to x²...

A: Extrema

Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in simplifie...

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Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

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Q: Find the derivative of the function using the power rule.(5 pts each) (a) f(x) = 3/5x5 − 4x −4/3x-3 ...

A: a.

Q: Given: sin A = ! and cos x = - ; evaluate the following expression. %3D (8: Quadrant I, x : Quadrant...

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Q: Find the open intervals on which f(x)= x^4+8x^2 is increasing or decreasing. Find the critical value...

A: Given problem:- Find the open intervals on which f(x)= x4+8x2 is increasing or decreasing. Find the ...

Q: Select all that apply. Solve for x, 0° g xs 3600 sin 2x + 2 sinx cosx = 0 270 360 90 180

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Q: For the following demand function, find (a) E, and (b) values of q (if any) at which total revenue i...

A: Given demand function: q=42-p4

Q: dy Suppose that x and y are related by the equation 3x-y=2 and use implicit differentiation to deter...

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Q: Question 2. Prove g*g"t" is not regular.

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) E(...

A: Geometric Infinite series :     An infinite geometric series is the sum of an infinite geometric seq...

Q: If a country experiences a doubling time of 45 years with a growth rate of 1.5%, then we can infer a...

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Q: terms of the variable. dx 140 (1+x² )?

A: Given problem:-

Q: lim Xー x2-1 x->2 ( -!) メー」 lim X-> 2 (2x+x²) lim 2x-2 X-フ R+3 -2 lim 2sin ) 12 X-> Tī lim x2-4 x-72 ...

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Q: Question 3 ) For the function 4Vi + 2t + 1 f(t) = consider the definite %3D integral 2 - f(t) dt. a)...

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Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = 11, f'(0) = –4, f"(0) = 2, ...

A: Solution is here

Q: Ex/ show that f(x) = x+7x + 4 x + 1 has an inverse. %3D

A: In this question we have to find whether the function has an inverse.

Q: The maximum rate of change of the function f(x, y, z) = xyz at the point (1, 2, 3) occurs in the dir...

A: In this question we have to find the correct answer.

Q: Question 2: Evaluate the following limits 5 a) limx-0- 3 5 b) limz-o* x3 5 c) limx-0 x3

A: Find the given limit

Q: Find parameter a of the model by using the least square method. f(x) =x 6(x) = a* x 100 Error(a) = ,...

A: To find the parameter of the model by using the least square method.

Q: Find the critical numbers of f(x)=x²e* %3D Select your answer

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Q: Activity 3) Calculate mentally using compatible numbers, special factors & properties. Show all work...

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Q: Solve for the value of constant(C) by obtaining the orthogonal trajectory of the given equation belo...

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Q: 3 Consider the following function f(x,y) = +y° + 2xy - 6x- 3y + 4 3 3 3, 2 The critical points are A...

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Q: Find ALL antiderivatives of 6x + 3x - 8. NOTE: Remember to include + C in your answer! 3x2 The antid...

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Q: 1. lim 3" 2. lim 5* 3. lim log r エ→4 4. lim cos r

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Q: what is csc^−1(csc(3π/5))

A: Given

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Q: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 %3D dt

A: Given: - The differential equation is, dydt+dxdt+3y-5x-e-t=02dxdt+dydt+x+y-3=0 To solve: - The solut...

Q: Evaluate | (3t +t?) sin(2t) dt 1/2 (3t+t^2) cos(2t)-1/4 (3+2t) sin(2t)+1/4 cos(2t)+c 1/2 (3t+t^2) si...

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Q: Solve : 33+8 = 92+8 x = -8 x = 24 x = 0 x = -24 O x = 16

A: Consider  33x+8=92x+8

Q: x = -30°, cos 2x = 1 - 2 sin2 x 1 + 2 sin 2 x 1 - 2 sin 2 x 1 - 2 sin x 1 + 2 sin x

A: This question is based on Proving a Trigonometric equation.

Q: (a) f(x) = (2x – 1)*(3x – 2)³ (b) f(x) = [(x – 3)(5x + 1)]³ (c) f(x) = Vx cos ((3x + 2)²) %3D CoS (d...

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Q: (dy/dx)tan x sin 2y = sin^2(x) + cos^2(y) differential equation

A: Solution is here

Q: Find the area of the region that lies under the graph off over the given interval. Solve using LIMIT...

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Q: Find the Maclaurin series and corresponding interval of convergence of the following function. 1 f(x...

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Q: f = ((-3,-2), (2, 0), (1, – 1), (–2, -5)} and 8 = {(5,0), (0, 1), (1, 1)} Step 2 of 4: Find (f- g)(1...

A: We can find the answer as below

Q: Determine whether the series is convergent or divergent. n - 1 5n - 1 n = 1 convergent divergent If ...

A: Given:    Limit equations is given

Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also us...

Q: PART I. Solve for x in each proportion. jewane 1uoy nislox3 inemetete yhslimie e shw x-5 3. x+3 15 2...

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Q: A new manufacturer of automobiles in Canada has determined that the quantity demanded of their brand...

A: Given p(x)=-x^2+6x+36    and interval 3<x<9

Q: 7. Fill in the boxes below to create an equation equivalent to the equation x = 40. %3D log

A: 7. The equation is given by x3 = 40                         ..........1 To evaluate: An equation equ...

Q: Suppose that someone deposits $2000 in an account that earns 4.0% simple interest. Complete parts (a...

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Q: Determine the values of a and b for the function f(x) = ax² + bx such that f(1) = 8 and f'(1) = 3 %3...

A: The given function is f(x) = ax2+bx  such that f(1) =8   and f'(1) =3. We have to find the value of ...

Q: The function below is an evaluation of which integral? * 3 (z° + 16) +c 48x3 Vo2 + 16 dæ 16 da Optio...

A: Since you have Posted multiple questions as per guidelines we can solve only one question at a time,...

Q: 19. Consider the parametrization of the unit circle given by c(t) = (cos t, sin t). (a) Verify that ...

A: We have to verify that c is parametrized by arc length and show that the curvature k of c is constan...

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (-1)"

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Q: Suppose F (x, y) = (2xe-", 2y – a²e="} (a) Find a scalar function f (x, y) such that F = Vf (b) Use ...

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Q: 213 + 4x² + 7x – 6 dx - 1. xª – 3x² – 4

A: ∫dx/(x-a)= ln(x-a) ∫dx/(x²+1)= arctan(x) ∫xdx/(x²+1)= (ln(x²+1))/2   Let I =  ∫ (2x³+4x²+7x-6)/(x⁴-...