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Q: Slopes and Tangent Lines In Exercises 13–16, differentiate the functions and find the slope of the t...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Given :1) y=(2x+7)-(x2+3x-1)find tangent :2)f(x)=1x at x=23) f(x)=x-2x+3 at x=2

Q: 75 ft A pole stands 75 feet tall. An angle 0 is formed when wires of various lengths of a feet are a...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

A: Kindly repost the 2nd picture separately in order to get it answered by an expert

Q: ACTIVITY 3: Think More! 2. Find an equation of the line that is tangent to f(x) = x³ and parallel to...

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Q: A cup of coffee, cooling off in a room at temperature 24°C, has cooling constant k = 0.108 min -1 (a...

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Q: 1) y=-2+ 2cos 0 27 3n 1/24

A: The given function,     y=-2+2cos θ

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A: To calculate v'(r), the derivative of the wave speed with respect to the reproductive rate r. Given ...

Q: 1. Find the center and radius of a circle given by 2r2-8x + 2y2-4y+6=0

A: Given: 2x2-8x+2y2-4y+6=0 Take out common and write in standard form x2+y2-4x-2y+3=0  

Q: Let A = and B = , P = (9, 8, 7) e. Find the volume of the parallelepiped spanned by A, B, and P (th...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x 4 %3D 00 1 f(x)...

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Q: Find the absolute maximum and absolute minimum values of f(x) = ! + In r, on [, e²].

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Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket ...

A: Find your answer below 

Q: Inspect the graph of the function to determine whether it is increasing or decreasing on the given i...

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Q: cln /3 2e" Ve2 + 1 dx

A: The integration of the integral is 2ex√(e2x+1) limit from 0 to ln√3.

Q: 8 12. If y = then what is %? dx Vx+4' dy а. 4x(x + 4) dy С. dx = -4Vx + 8 %3D dx 3 dy b. dx -4(x + 4...

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Q: For a particular commodity, the demand function is q a. Find e when p = 8. Preview b. Is demand elas...

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Q: tanwdw 1- tan¯w

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Q: 4. f(t) = t5 e(1-t)

A: Given; ft=t5e1-t As we know from the properties of Laplace transform; 1). La·ft=a·Lft 2). Ltnft=-1nd...

Q: Background Layout Theme Tra A maneger is planning to sell a computer for $10 more than its 2 wholesa...

A: Given query is to find the the whole sale cost of computer.

Q: dy Use implicit differentiation to find dx 4 3 x'+y = 3x+ 6y` dy dx (Type an exact answer, using rad...

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Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) 00...

A: Series

Q: Every function defined on a closed interval [a, b] must have a global maximum and a global minimum o...

A: Every function defined on a closed interval a,b must have a global maximum and a global minimum on a...

Q: 2. An iPhone 13 pro max is dropped from the top of the Balayong Park monument, 225 ft high. (a) How ...

A: Solution ) a) s = 225 ft , initial velocity u = 0 According to newton motion equation  s = ut + (1/2...

Q: 3.(Straightforward) Verify that the piecewise defined function { x*, x 0 y = is a solution of the d...

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at x = 1. X-7 f(x) = 9x -4 f'...

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Q: Simplify the expression. (In the second answer box, state any other restrictions on x not excluded b...

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Q: 1. A new manufacturer of automobiles in Canada has determined that the quantity demanded of their br...

A: topic - functions and application of derivatives

Q: f(x) = x2−4x+7  What are the steps to find this in standard form, finding the vertex, x and y inter...

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Q: 4. At time t> 0, the position of a body moving along the horizontal s-axis is s(t) = t3 - 6t2 + 9t m...

A: We have to acceleration at the each time where velocity  is 0 And total distance from t=0 to t=2

Q: EF = (6x – 4y, z – 4x, y – 8z), then V × F = 0.

A: Topic:- application of derivatives

Q: Identify the most appropriate differentiation rules to be used in finding the derivative of the foll...

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Q: Solve the differential equation (x² + 1)y/ – 2xy – 2.x = 0 using the method of first-order linear eq...

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. y = v1+ ex, 0 < ...

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Q: functioN fo- x^-2X- 3 X+3 use second derivactive to idenfity intervals here fais cencave up L use se...

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Q: Find the DE of y2 =Ax+B A. y' = VAx + B %3D B. yy" + (y')² = 0 C. 2yy" + (y')² = 0

A: Please refer to the image below

Q: A rope passing through a capstan on a dock is attached to a boat offshore. The rope is pulled in at ...

A: The given data is: The rope is pulled in at a constant rate of 2 ft/s, and the capstan is 4 ft verti...

Q: Consider the function. f(x) = -2x3 + 12x² – 24x + 15 Step 2 of 2: Determine the open intervals on wh...

A: the given function,     fx=-2x3+12x2-24x+15

Q: 680 -59 -0 - 0] q? 600 69 - - 0-01 q? - 680 DIFFREN TIATE d Pla) = q? -reo] 2 0.0) q-680] da da 600 ...

A: topic - differentiation

Q: III. Find the limit, and when appropriate, indicate the Limit Theorems being applied. 5+2x 1. lim I ...

A: Please see the answer below.

Q: Solve: x²y" + 3xy' + 10y = 0

A: Solve 2nd order linear differential equation by let x=e^z

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Q: Given (x³ + y² + 7)* = 4x + 3y + 9, (a) find y', (b) find the equation of the tangent line at (-2,0)...

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Q: Consider the function f(x)=1/x  on the interval [1,8]. Find the average or mean slope of the functio...

A: Given query is to apply mean value theorem and find value of c.

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

A: The given series is  ∑n=1∞ n-15n-1

Q: funchioN fo= x-2x-3 X+3 find the secod derivatve tx): Baseden: criical value -6.5, 0.5 and second de...

A: Given: fx=x2-2x-3x+3   We know that; The Quotient rule: fg'=f'·g-g'·fg2 The chain rule: fgx'=f'gx·g'...

Q: Screen Shot 2022-03-09 at 8.19.01 PM Q Search An equation representing a function that extends from ...

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Q: Determine the length of the curve y = In(cos r) betweenI = 0 and r = 1/4. (Hint: if you simplify the...

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Q: 2) y - • sin 0 +2 3元 2元 5元 3元 元 元2

A: The given function,       y=12.sin θ+2