All exponential functions can be written in many forms. Write the function ƒ(t) = 9600 (2) ³ in the form f(t) = aekt. Round all coefficients to four decimal places. t Submit Answer attempt 1 out of 2 f(t) = =

Q: Evaluate h(4), where h = go f. 3 f(x)=√x²9, g(x) = 6x³ +9 h(4) =

A: The given functions,fx=x2-93, g(x)=6x3+9

Q: 0 - [1 4 Find the determinant of A = = 1 2 03 -3 8 - using a cofactor expansion.

A: We have to find out determinants

Q: Find the angle that maximizes the area of an isosceles triangle with legs of length / = 8. (Use…

A:

Q: 7. Use contour integration to evaluate (a) dr x²+x+1² de (b) 3+2 sin

A:

Q: Solve the following integrals. 3.) So Sy dxdy y²-x²

A:

Q: If you are not given the graph of a cosine function f(x) however its maximum and minimum are 3π…

A:

Q: = 0.3t centimeters per minute 2. The depth of the water in a tank is changing at a rate of r(t) O,…

A:

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Let's find volume of solid.

Q: Find the arc length of the curve x = Length = -2y³/2 from y = 0 to y = 10.

A:

Q: 2. Let f(x) = 24. Sketch the graph of f(x) on the graph below. Then use the graph to find the…

A:

Q: Show tha

A:

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A:

Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: seconds after the start of the movement. (B) Use Tabular integration to evaluate the following: -…

A: Let's evaluate given integral by using tabular method.

Q: Which of the following intervals contains a solution to the equation x³ + 3x = x² +1? O(-1,0) ○ (1,…

A: The given equation,    x3+3x=x2+1

Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

A:

Q: Evaluatef (cot2x + 2tan²x - 5) dx a. cotx + 2tanx + 4x + C b. -tanx-2cotx - 4x + C c. -cotx 2tanx -…

A: I have stated the used formulas in the solution

Q: 5. A ball of mass 2 kg is dropped from rest in a viscous fluid, the resistance of which is 0.001v N…

A: By solving differential equation

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A:

Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [2,6] by computing the area…

A: Area using rectangle

Q: A rectangular field as shown is to be bounded by a fence. If fencing is not needed along the river…

A:

Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 Y =…

A:

Q: 10. Evaluate cos x sin² x dx

A:

Q: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

A: . A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

Q: fcos³ xdx from a = 0 to b = 3. 2

A:

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

Q: 2. A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F.…

A: It is required to find the initial temperature of the inside room using the given conditions…

Q: 5. (a) Use Newton's binomial theorem to calculate √50 with 4 terms.

A:

Q: Evaluate the following: 1. [ sinh(4)dæ

A: Application of integration

Q: 3 *+ 3 2- 1 نها 1 2 3 To find the blue shaded area above, we would calculate: [ f(x) de f(x) dx =…

A:

Q: _2. Which of the following series is divergent? 1 1 1 (α) Ση=12n-1 (b) En=1,3 (c) En=13 Σ n2 _3.…

A:

Q: (B): Find the integration by using substitution method √x√2x - 1 dx

A:

Q: The arc length of 元 y=ln(cos x), 0<x<= is 3 the curve

A:

Q: 7. favn-1dr 8. (1) Vai - dar 1 f sh 1 9. dx 5 + 1

A:

Q: Solve step by step the following problem (be clear please) XXXXXXXXX Calculate the roots of the…

A:

Q: Find the derivative of the function. g(x) = ((7x^2-4)/(4x+7)^-2

A: We have to find the derivative

Q: Problem Revolve about the (a) x-axis and (b) y-axis the area enclosed by y² = x and y = x³.

A:

Q: TL 9. The region R = {(x, y): 0 ≤ x ≤ 2, -√√1-(x − 1)² ≤ y ≤ √1 - (x − 1)²} in the transformation x…

A:

Q: What is the area of the region? A. sq. unit B. 2 sq. units C. sq. units D. sq. unit

A: As per the instruction, we will be answering the first question. For (12), Given: Now, we will find…

Q: Determine the cardinality of each of the following sets. a. A x B, where A = {a, b, c, d, e}, B…

A: a) A=a,b,c,d,e, B=xb) a,b,cc) d) Φ,Φ,Φ,a,

Q: Find the absolute extrema of f on the given closed interval. 1. f(x)= x³ + 3x² - 9x ; [-4,4]

A:

Q: .2 3. If o (x) = f Ví dt, then 0 (a) 2x2 (c) O do dx (6) SA (d) 1. is

A: ϕx=∫0x2tdt

Q: 5. r(x, y) = ln (x + y)

A:

Q: 7. S d.x 25x²+36

A:

Q: fferential Equations: Growth and Decay Answer the given problem. Show your solution completely with…

A:

Q: Find a function p(x) defined by a polynomial of degree 3 with a real coefficient that satisfies the…

A:

Q: Find the derivative of the trigonometric function. y(x) = cos(sqrt(sin(cot(pi*x))))

A:

Q: Find the equation of the tangent line to right branch of the hyperbola π π ㅠ x = sect, y = tant, st≤…

A:

Q: 2. A basketball is being filled with air at a rate of 6 in /sec. (You can assume the basketball is a…

A: Given change in volme dV/dt= 6in3/sec Radius of ball is r= 1in then diameter   d= 2in Formula:…