Using calculus, find three positive numbers whose sum is 12 and the sum of the squares is as small as possible.

Q: 5. If s = t – 5t + 12t², find the velocity of the moving object when its accel- eration is zero.

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Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: QIAnswer the following equation ,your answer should be like :(x=4)(y=9)(z=6)? * .write it in the sho...

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Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?...

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Q: Find the area of the region bounded by the given curves. Decide whether to integrate with respect to...

A: Given query is to find the are of the region bounded by the curve.

Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Given curve: y=x3-x2-2x+1x-2

Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: Week 8 Online Homework Introdu Score: 26.67/31 28/31 answered Question 9 Let g(x) = log,(x). Find g...

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Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: 2.269910988417 x 10^23 so what will i use to bring it down to under 100 ? how to divide it ?

A: so to bring it down 100 we just divide it by number x we now have to find the value of x  

Q: Current Attempt in Progress Use cylindrical shells to find the volume of the solid generated when th...

A: Here, the region is bounded by the curves y=3x-14,y=-3x+4,x=4 is as shown:

Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx...

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45 ...

Q: find the approyimate Valueof 10/2

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Q: F. Directional Directive Find Duf (x, y, z) at (2,–1,0) in the direction of the unit vector U parall...

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Q: 2x + 4, a<4 om the following results, determine whether the function f(a) = { 8, a = 4 -x + 16 a 4 i...

A: Given query is to find function is continuous or not at x = 4.

Q: Show solution. 1. Below is the graph of f(x) = |x|. Using the left side of the function with the equ...

A: Given problem:-

Q: Find the area of the parallelogram that has u = 2i – j+ 2k and = 2j + 3k as adjacent sides. NOTE: En...

A: We will find the area of the given parallelogram in the following step.

Q: Jeremy purchases a boat for the price of $31 950. The boat depreciates in value by 19% per year. The...

A: Here we will find the asked quantities,

Q: If f(x) 3 cot lr+ 4, then find the value of f'(-1) is > 8 m IN O O

A: Solve the function

Q: d Compute [(2x² + 5)(4.x –1)] at x = Со dr

A: To find: The value of  ddx2x2+54x-1at x=12. Concept used: Product rule of differentiation f·g'=f '·g...

Q: y = f VI + t? dt Y : 0. t2 dt

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Q: 4. AUVW AK Solve for the value of v. v+25 6v +5

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Q: 2udu = 3 u? – (u²)?

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Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

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Q: 1+2y² y sin x dyt cs C vdr = 0 dy 10. dx sec2

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Q: III I The current population of St. Catharines is about 133000. Suppose a major devel- opment is pla...

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Q: If g is continuous at a and f(x)=(x² -a )g(x)., find f'(a). S(x)-f(x,) Hint: Use f'(x1) = lim x-x1 %...

A: Given query to find the derivative at x = a.

Q: View Policies Current Attempt in Progress Find the volume of the solid that results when the region ...

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Q: Using Reciprocal Substitution dz For f zV4z+z

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved a...

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Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

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Q: A potato is launched vertically upward with an initial velocity of 101 ft/s from a potato gun at the...

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Q: DO NOT include spaces in between characters. * Find an equation of the tangent line to the graph of ...

A: Given query is to find the equation of the tangent.

Q: Find the relative extreme of the function f (x) 12+2x+2 and where they occur.

A: Given: - The function is, f(x)=x+1x2+2x+2 To find: - The relative extreme of the given function.

Q: Find the value of f' (E) if f(x) = 2csc3x. in Your answer

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Q: The ordinary differential equation x -y = x is a separable equation dy dx O False O True

A: Given query is to find that differential equation is separable or not.

Q: Show solution. 1. Below is the graph of f(x) = |x]. Using the right side of the function with the eq...

A: The given function,   y=x

Q: functions

A: We have to choose the correct option according to the given options

Q: The cost function for production of a commodity is given below. C(x) = 352 + 23x - 0.08x2 + 0.0005x...

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Q: DO NOT include spaces in between characters. Type your answers in the following order and format: a=...

A: Given query is to find the value of a and b.

Q: Find the global minimum of the function f (x) = 1+x² on the interval (-∞, 0) . Write DNE is there is...

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: 1. lim 10 2x+1 2. lim X2 *-1 3. lim 4. lim f(x) if f(x) =- if x 2-1 if x>0 if x s-1 if x>-1 5. lim f...

A: Since you have posted multiple questions as per our guidelines we are allowed to answer first three ...

Q: 4 Find the value of f'(-1) if ƒ (x) = (3r² – 2x +1)'

A: Given,            fx=43x2-2x+13To find : f'-1

Q: 144. Identify the length of the curve y = x over the interval [2,6] 49

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Q: Select ALL possible answers if there is more than one. Which of the following statement's is/are NOT...

A: To solve the following problem

Q: 15-20 1 Solve the initial-value problem. 15. x²y' + 2xy = In x, y(1) = 2

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Q: 3x 2 dx 2x*-1

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Q: At which point/s (value/s of x) is the function neither continuous nor differentiable? DO NOT includ...

A: see below the answer and explanation

Q: find eigen value of matrix A -2 A = 2. -4 2.

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