17. If you know f(0) = 625 and f (4) = 16 then: %3D %3D (a) Find a formula for f(x) assuming that it is linear. (b) Find a formula for f(x) assuming that it is exponential.

Q: Part 4: A derivative computation using the FTC and the chain rule d d (F(2*)) = dx dt |3| e dx 20

A: Topic:- application of integration and derivatives

Q: 2. a“y dx2 dy + 42+ 3y = sin(x) + 2 cos(x) dx

A:

Q: Using the method of LaPlace Transform, solve the following IVPs a.) y" + 8y' + 25y = 13e-2t…

A: As per bartleby guidelines we only give first question answers because questions are lengthy.

Q: 3. Determine whether the series E-1(-1)" * CoS ) is conditionally

A:

Q: Calculate the following integral e-4 dx by using a substitution O - 0.25e^(-4x) + C O 0.25 e^(-4x) +…

A: Take substitution as -4x = t

Q: Distinguish the Domain in A Function f of Two Variables from Range in A Function f of Two Variables

A: Suppose the function is: f:ℝ2→ℝ2

Q: Find the linearization L(x) of the function at a.

A: Use the derivative for finding the linearization of function

Q: (b) Using logarithmic differentiation, find y if y =r' 5* cosh" 4r.

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Q: 4t + 98.6, where T is the temperature, in degrees Fahrenheit, at time t, in hours. 2+1 AT(t) 102+…

A:

Q: 3. Stickers. To celebrate the first day of spring, Lin is putting stickers on some of the 100…

A: topic- Lowest Common multiple

Q: Question 3. Find f/ (x). If f(x) = tan-1x? %3D

A:

Q: ACTIVITY 2.Solve the given below. Show your complete and exact solution. 5. Given the function f(x)…

A:

Q: 9. A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise…

A: Given, f(t)=12sin(pi×t/4) +8 where t is the time measured in seconds f(t) is the tailor's altitude…

Q: The position of a particle in meters at time, t, seconds is given by s(t) = cos2(3t). Find the…

A:

Q: 11. y = x + x

A: Given

Q: ( 19 ' Evaluating cot 3 will yield to A 3 B -V3 D

A: Here, cot19π3cot6π+π3

Q: An object moves along the polygonal path that connects (0, 0, 0), (1, 0, 0), (1, 1, 0), (1, 1, 1) in…

A:

Q: Which of the following angle measure is coterminal with an angle whose measure is 798°? -78° -278°…

A: Let the angle be theta.

Q: Find the differential dy of the glven function. (Use "dx" for dx.) y = 3Vx + dy = Submit Answer

A:

Q: ... Supply the missing integrand and the limits of integration (Ух ӑx dy dy (4+y²) 3/²dy | V4+y?dy

A:

Q: (24) Evaluate the integral: / Va sin(1+x/²)dx. (25) Find the equation of the normal line to the…

A: Use equation of normal line

Q: What is the exact value of csc(– 1305°)? V3 A B D 2.

A: using csc(-x)=-csc(x) and  csc(360n+x)=csc(x)

Q: Find the sum: - 4+ – 5+ – 6 + ... + – 17 | Answer:

A:

Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: 12. Solve 2cos²(20) = 1. List the solutions that are: 0 < 0 <n %3D

A: Here, the given equation is: 2cos2(2θ)=1⇒cos2(2θ)=12⇒cos(2θ)=12 or cos(2θ)=-12

Q: 5. Find the quadrant where tan 405° lies, its reference angle, and also the exact value.

A:

Q: Given the vectors v and ü, answ v= 10i + 2j - 11k u=7i+24j a. Find the dot product of v and u. Find…

A: calculation of above requirement are as follows

Q: rV1-y² (x² + y³) dy dx -1 J-V1-y

A:

Q: 15. Find the width of the lake pictured below: 900 ft 800 ft 70°

A:

Q: work is very unclear. I am lost

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Q: y+4 =-V2x

A:

Q: Find the absolute extreme values of the function on the interval. 13) f(x) = 7x8/3, -27 sxs 8 A)…

A:

Q: A box with no top that is twice as long as it is wide has a volume of 36 m3. If x is the width of…

A: A box with no top that is twice as long as it is wide has a volume of 36 m3.

Q: Sketch the graph and show all extrema, inflection points, and asymptotes where applicable. 1) f(x) =…

A: Marked below in the graph

Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

A:

Q: A cylindrical tank of radius 5 ft and height 9 ft is two-thirds filled with a liquid of weight…

A: Work=Distance*density*volume   Distance=9-ydensity=ρvolume=πx2×dyas it is cylinder , x = r…

Q: Find the value of y (0.4) if y' + 0.2y = 0, y(0) = 5. Solve analytically.

A:

Q: 7) Assume that the temperature of a person during an illness is given by: 5t T(t) : + 98.6, t2 +1

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Q: Area under the curve x + y = 3 and the coordinate axis

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Q: lim (1+ X00

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Q: Find dy/dx by implicit differentiation. 6) x3 + 3x2y + y3 = 8 dy A) dx x2 + 3xy B) dy dx x2 + 3xy x2…

A:

Q: 1. Find the area bounded by: y=x³+1 and y=x+1

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Q: Supply the missing integrand and the limits of integration n/2 2sin e r cos?e dr de = | _de 2sin e…

A:

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

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Q: d Cos(2) (32) Find the derivative: dx V1 – t?dt

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Q: Find the volume of solid generated by revolving the area enclosed by: x = y2 + 1, x=0, y=0 and y=2…

A:

Q: 13п What is the exact value of sin-(x) if x =cot 4 A 4 B 4 D 티2

A: Option (c) π2

Q: (28) A particle is moving in a straight horizontal line. Its position, s(t), velocity, v(t) and ac-…

A:

Q: Evaluate the following integral: 10x dx O 2

A: Integration

Q: Evaluate: de (1-a)

A: