Use the limit definition of the derivative to find the derivative of f(x). f(x) =/6-5x

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Q: Let f(x) be defined everywhere such that f"(x)=3x2-12x based on the information provided above can y...

A:   Definition used -                   Point of inflection - A point where the concavity of graph of ...

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A: The line integral ∫CF·dr is independent of path if the curl of F is zero, that is, ∇×F=0. Here, The ...

Q: 1. Container has been a bit of mango. It is paid for 1/8 of one-eighth. There are 12 mangoes left. H...

A: Container has been a bit of mango. It is paid for 1/8 of one-eighth. There are 12 mangoes left. To f...

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A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: 1. (4 x 10) (3.02 x 10)= 6.6×10 3x 10 3. 1.2 x 10 +5.35 x 10° D 2.

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Q: Find f'(x) and find the values(s) of x where f'(x) = 0. f(x) = (2x - 21) (x² + 30) f'(x) = 6x - 42x ...

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Q: 1. Use implicit differentiation to find dy/dx when x 1 and y=1. у? + ху 3D 2.

A: Given y2+xy=2 when x = 1 and y =1

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Q: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Find the size of th...

A: A bacteria culture initially contains 2500 bacteria and doubles every half hour. Now the total bacte...

Q: Use a table of integrals to evaluate the definite integral.

A: Given: I=∫0π2xsin2xdx for evaluating given integral, we use integral by parts theorem according to t...

Q: Solve and graph the solution set: 2x/(x + 1) ≥ 1.

A: Given: 2xx+1≥1 for solving this we use transportation then simplify it

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Q: Graph the function, not by plotting points, but by starting from the graphs below. h(x) = 3× – 2 + 1...

A: Consider the given function hx=3x-2+1

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A: Only first three subparts are to be answered. So, kindly repost 4th subpart. PART(a): The given func...

Q: Find the partial derivative for this

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want rem...

Q: Derivative of vector functions Compute the derivative of the followingfunctions.a. r(t) = ⟨t3, 3t2, ...

A: (a) Consider the provided vector function, rt=t3,3t2,t36 Find the derivative of the function. ddtrt=...

Q: Let f and g be defined by the following table:

A: We have the given table :       x  f(x) g(x) -2 6 0 -1 3 4 0 -1 1 1 -4 -3 2 0 -6   T...

Q: The pole AB is held up by the rope attached to B. The magnitude of the force in the rope is T = 240 ...

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Q: Find all the hypercritical values of the function. 45 1 f(z) 6. 10 %3D - - - 3 2

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Q: Find f'(x) in two ways: (1) using the product rule and (2) simplifying fir - 3) 8 f(x) = x° (x° – 3)...

A: Given fx=x8x5-3

Q: Determine whether it is even, odd or neither function  f(x)=4-5x

A: We have to find odd, even or neither for the given function: fx=4-5x We know that for the following ...

Q: Find the focus and directrix of the parabola with the given equation y2 = 16x. Then graph the parabo...

A: Given: y2=16x we know that for given equation of parabola y2=4ax focus and directrix is given by foc...

Q: Find (A) the derivative of F(x)S(x) without using the product rule, and (B) F'(x)S'(x). Note that th...

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Q: Evaluate the limit (b) limt→0  &lt; sin(t)/t,(1−cos(t))/t,−2t/t)&gt;

A: Givenlimt→0&lt; sin tt ,1-costt , -2tt&gt;

Q: Evaluate the integral.  integral y 3 sqrt (y 2 +1 )dx

A: We have to evaluate the integral: ∫y3y2+1dy We will use substitution method to solve this integral s...

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Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x ...

A: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60)  , where x...

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula w...

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Q: Find the general antiderivative of each function. (can check by taking the derivative) F(X)= 12x3 +3...

A: F(X)= 12x3 +3CSC2X- 5√x - 4π   ∫F(x) dx = ?   Important points: 1. ∫xndx = xn+1n+1 + c2. ∫cosec2x = ...

Q: Find all critical points for the function f(x) =x^2e^1-2x

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Q: Find an approximation of the area of the region R under the graph of the function f on the interval ...

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Q: a. Find the local extrema of each function on the given interval, andsay where they occur.b. Graph t...

A: Given that: f(x) = sin x-cos x,  0≤x≤2π                ..(1)  a) First we have to find the critical ...

Q: If f(x) = X-3 then which of the following is equ to f'(x) -1 a. f'(x) = lim h-o (x +h - 3)(x-3) | -1...

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Q: Complete question #3 and show work.

A: Given that,a) f(x)=2x2-8x+10b) f(x)=-(x+1)2-4 we have to find vertex,axis of symetry ,max or min ,co...

Q: A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German pe...

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Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium-100 has been reduced t...

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Q: (b). A right-angled triangle is to be constructed so that the hypotenuse is 20 cm long. The height o...

A: Given that in right angled triangle, Hypotenuse = 20 cm Let base = x cm so height that is perpendicu...

Q: Detrmine the open intervals on which the graph of the function is concave upward or concave downward...

A: Given: f(x)=x2-4x+8

Q: Find the time required for an investment of 5000 dollars to grow to 7900 dollars at an interest rate...

A: A = $7900 P = $5000 r = 7.5% p.a. = 0.075 p.a. A = P(1+r)t

Q: The noise from a power mower was measured at 110 dB. The noise level at a rock concert was measured ...

A: Given: The noise of a power mower was measured at 110 dB.The noise level at a rock concert was mesur...

Q: Find the derivative of the function at P, in the direction of A. f(X.y.z) = - 2 e cos (yz), Po(0,0,0...

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