Find the sum of the critical numbers of f(x) = 3x4 - 4x3 + 2.

Q: What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in complete…

A: Given problem:- What are the domain, range, and period of the function f(θ)=-3 cos(-2θ)

Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

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

Q: 3X-1 xp +4

A: Follow the procedure given below.

Q: Find, correct to three decimal places, the point on the curve y 9 In x + eX at which the tangent…

A: Find your answer below

Q: function fo) = 7X1+10x10x3_4 Qn Antiderivative of fo) is F(x) = Axn+ Bxm, CxP+Dx: A= 710 %3D where…

A: Solve the following

Q: with A parti cle is moving a cc eleratoN at) = 12t+18. Its positian at time t = 0 IS S© =4 and its…

A: This question is related to integration, we will solve it using given information.

Q: You fianested $10o00 pt 32 pinterest fer year, fomfounded Seanic prnuallye Aftea'Houwmosnig years…

A: topic - compound interest

Q: wo vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩. Choose the correct…

A: It is given that, Two vectors beginning at the same vertex of a triangle are ⟨2,3⟩ and ⟨-3,2⟩

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Q: 16 2. A light at the top of a 16 ft. pole. A man 6 ft. tall walks away from the pole at a rate of 5…

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Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

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Q: The integral of the given function ſ**-16) x3 3/2 dx is

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Q: 4. 1 8-x² 8-X2

A: See the details solution in below

Q: Find the maximum value of the function f(x) = x³ - 9x² + 15x - 5. Answer: Find the value of x for…

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Q: Evaluate this path limit: 4.ry3 lim (z, y)¬(0, 0) 2x² + y6 I=y% =???

A: To find: Limit of the function of two variable along the given path.

Q: The functions f and g are continuous and differentiable with f'(x) = g(x). Selected values of the…

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Q: 25x² -9 3. dx

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Q: B.(Straightforward) Solve the separable ODES: (a) dy/dx = y/x². (b) dx + secх dy — 0. (c) x dy/dx =…

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Q: Find the MacLaurin series for the function f(x) = (1 + x)7. It is actually finite – it’s a…

A: Maclaurin series for f(x) is given byf(x)=f(0)+f'(0)x1!+f''(0)x22!+f'''(0)x33!+...f(x)=(1+x)7…

Q: Consider the following curve. r2 cos(2?) = 9 A) Write an equation for the curve in terms of sin(?)…

A: The given curve is r2cos(2θ)=9

Q: (x +2y-4) dx + (ax-4y ) ay Solve by Coerlaents linear in two variable

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Q: . Determine the values of a, b, and c such that the function f(x)=x²+ax² +bx+c has a y-intercep of 1…

A: Solving question

Q: 2, 22, 23 567 3. Test the series +. +.

A: Topic:- sequence and series

Q: A stone is dropped from the edge of a roof, and hits the ground with a velocity of -175 feet per…

A: see below the answer and calculation

Q: 4. Given f(x) =x+-: a) Find all asymptotes and state their equations. b) Find all local max/min…

A: According to Bartleby guidelines I can only answer the first three sub-questions of the given…

Q: Find the general solution: dy = tanxtanydx %3D

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Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: complete and detailed using techniques of variation

A: Given,            ∫dy1+y+13

Q: 9. The region bounded by the given curves is rotated about the specified axis. Sketch the region and…

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Q: Directions: In implicit differentiation, we differentiate each side of an equation with wo variables…

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Q: Determine whether the following statement is true or false. If this statement is true, explain why.…

A: Explanation of the answer is as follows

Q: A bacteria culture is known to grow at a rate proportional to the amount present. After 60 minutes,…

A: We will find the number of strands of the bacteria originally in the culture as following. After 60…

Q: Prove the following. (b) lim( Vn² +1 – n ") = 0 - (c) lim Vn? n) = } 1 2 ||

A: Prove the following limits

Q: Evaluate each of the following indefinite answers in simplest form (factored form) 3dt 1. (2t +8) Jt…

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Q: 4. (a) Show that the line l given by l: 1= 2+3t, y=1+4t, z= 5+ 2t, te R, lies in the plane II given…

A: Given problem:- Show that the line  given by   l : x = 2 + 3t , y = 1 + 4t , z=5+2t ,t in R   lies…

Q: y' + = 2x/y;;y(0) = 2 3. + 3x²y = 6x²; y(1) = -2 dx 4.

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: Find the exact length of the cur x =t sin t y =t cos t for 0 <t < 1.

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Q: For 5, Sketch the region enclosed by the given curves. Find its area. Make sure you show how you…

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Q: 4,0 F1 Let h(x) = f(x) g(x). Find A. h'(1) В. h' (2) с. h (3) — %3D ||

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Q: x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

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Q: Let the cost function be C(x)= x2 / 8 + 4x + 200 and the unit is sold at price of p = 49 - x dollars…

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Q: 1. Find the radius of convergence and interval of convergence of the series. (a) (-1)"(n+1)"a²" n=1

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Q: Find the domain and range

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Q: 8. Find the value of x. a. 73 62 x' O 73 O 107 O 135 O 45

A: To find xo

Q: 8)Suppose the total cost of a certain product is C(x) = 0.001 x2+ 5x + 300. The product can be sold…

A: Find your answer below

Q: Choose the correct speed and direction of a plane with a velocity of (5,-12). 13,113° 17,293°…

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Q: Using the substitution z=Vx+2, the integral xyx+2 dr is equivalent to (A) | 222(z2- 2) dz .7 (в |…

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Q: Use left and right endpoints and the given number of rectangles to find two approximations of the…

A: Given