State the formula for the definition of the derivative of a function f (x) provided x is any number in the domain.

Q: 11) lim -3sin (x)= X→ +∞ A) 0 B) +o C) DNE D) 1 12) Use SPECIAL LIMITS and SQUEEZING THEOREM to find...

A: We expert are following guidelines.We are supposed to do first question. Kindly repost the second qu...

Q: Find the area R -region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

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Q: 16x8 . 22) Find 22) x4 A) 8 x B) 4x4 C) V32 x2 D) 16 x3 23) f' (x) =(3 cot x - 2 csc x)'= [ By Linea...

A: In problem 22,we find out derivative of√(16x8/x4)

Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: Let f(x) be a function defined in an open interval containing 'a'. The derivatrive of th on f(x) at ...

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Q: 5. Suppose that $4100 is invested at 2.3 % compounded quarterly. How much will be in the account aft...

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

A: Use limit property to solve

Q: a The integral that represents the length of the curve 7(t) = (2/t, cos (2t3/2), sin (2t3/2)), where...

A: length of curve

Q: parallel

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Q: find the maximum or minimum value of the function f(x)= 3x^2-18x-160 _______

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Q: In this calculus problem, verify that f has an inverse function. Then use the function f and the the...

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Q: Let 0 -2 6 =| 0 1 2 A= -3 1 4 -3 4 (a) Use the Inverse Matrix Algorithm to find A-1. (b) Solve A = 6...

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Q: Find the derivative of the function using the definition of derivative. 9(x) = /2 - x g'(x) = State ...

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Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

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Q: Find the linearization at x = a. y = (10 + x)-1/2, a = 9 (Use symbolic notation and fractions where ...

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: eros voR-SI ioNO WDW WCLN PCMath 12 - Rev. 2019 3. Find the general solutions rounded to two decimal...

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Q: an equation of the plane that passes through the given point and is perpendicular to the Point Perpe...

A: Please refer to the image below

Q: dy dx こD > SOLYE FOR THE GENE

A: Please refer to the image below 

Q: 12. Ben’s Moving charges $100 plus $30 per hour to move a household across town. Pat's Movers charge...

A: Please refer to the image below

Q: Evaluate the integral (7 – 2x) dæ by interpreting it in terms of area. Answer:

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Q: 1. Refer to the hexagon pattern below. Assume that each edge of the hexagon measures 1 cm. Assume th...

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Q: Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty o...

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Q: Use the figure to find the exact value of the trigonometric function. Find cos 20. 3.

A: We can find the value of cos2 theta as below from the figure

Q: Find the derivative of the function f(x), below. It may be to your advantage to simplify first. f(x)...

A: The detailed solution is given below Thank you 

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1  

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0, ...

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Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is ...

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Q: 21) In Problems 21 through 26 are given (xa)'= a xa-1, (x)' = 1, ( constant )'= 0, (sinx)' = cos x, ...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Problem 2: (2y cos a + sin x) dæ sin a dy when a = , y = 1

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Q: 3x+4 dx x²+3x+2

A: Let,I=∫3x+4x2+3x+2dxI=∫3x+4(x+2)(x+1)dxLet 3x+4(x+2)(x+1)=A(x+2)+B(x+1)3x+4(x+2)(x+1)=A(x+1)+B(x+2)(...

Q: 4х — 3, 0 < x < 3 - f(x) = 5, х? — 6х + 18, 3 <х x = 3 %3D use algebra to find each of the following...

A: We have to find limit and sketch the graph.

Q: If 2 ak = 4 and E bk = 42, find the following values. k= 1 k= 1 n b Σ 38 Σ Σ E (ak + bx). E (ak - bk...

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Q: Assume that p, q : S' > → R are continuous and p + 0. Find all solutions of the differential S1 equa...

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Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x - c...

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Q: Why do exponential functions and logarithms get such a bad rap? What is there about them that makes ...

A: exponential function is a mathematical function,q mainly used to find the exponential decay or expon...

Q: EXERCISES- Section 3.1 1-6 I For each of the following functions and inter- val, find the average of...

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Q: 9. One gear wheel turns another with the teeth being on the rims. The wheels have 40 cm and 50 cm ra...

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Q: Evaluate the following integrals using “Integration by Substitution”.

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Q: 3. Given r(t) = 12ti + 5cos t j + 5 sin t k , find the unit binormal vector and torsion.

A: Given that: r(t)=12ti+5cost.j+5sint.k

Q: P1. For each of the following infinite series: a) Determine n-th partial sum Sn b) Show whether the ...

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Q: dy 6. Given that y(1) = -2 and dx = 3x + y, what is the approximation for y(2) if Euler's method is ...

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Q: За3 — 4а +2 7а3+5 lim

A: To evaluate:limx→∞ 3x3-4x+27x3+5

Q: Example 4 Video Example ) x2 + x - 3 Let y = Use the Quotient Rule to find y'. x3 + 8 Solution (43 y...

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Q: f (x) = ƒ a + bt + ct²dt 2 f'(x) = x²(2x³ – 3x) + 4x - and calculate: a +b+c=?

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Q: Evaluate the definite integral 1.5 5 sec2(x) dæ 0.6

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Q: nt Use the model A = Pe" or A = P1+ , where A is the future value of P dollars invested at interest ...

A: Given query is to find the time taken to triple the investment when compounded continuously.

Q: 15 4 -5 -4 -3 -2 -1 1 2 3 4 5 -2 -3 -4 -5+ Write an equation for the function graphed above

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the graph has a cubic behav...

Q: Given the following polar equations, find the eccentricity and identify the type of conic; write an ...

A: According to company guidelines, since you have posted two questions, so I'll solve the first questi...

Q: S sin?y dy

A: Here we will solve given integral,