Which of the following is a possible equation for the following trigonometric function?

Q: 4. [2 marks]. Solve the following system of equations using the Gauss-Jordan elimination method: -2x…

A: If you don't understand any step please comment.

Q: A cylindrical can without a top is made to contain 10,000 cubic cm of liquid. Find the dimensions…

A:

Q: Find the area of the region between y = 6x² and y = x² + 7.

A:

Q: d) Explain what happens to p't) for t greater than the value you found in part c. Give one reason…

A: p'(t) for t greater than the value of 10 becomes stable and reaches to a threshold value

Q: Break up 9 m/s 4.5 m/s [S], 7.8 m/s [W] 4.5 m/s [S], 4.5 m/s [W] 3 m/s [S], 6 m/s [W] O4.5 m/s [W],…

A: Please see the below picture for detailed solution.

Q: Consider the following function. f(x) = (x-8)ex (a) Find the critical numbers of f. (Enter your…

A:

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A:

Q: Find the arc-length function s(t) for the line segment given by r(t) = (9 - 9t, 40t). s(t) = Write r…

A: Given :- r(t) = <9-9t, 40t> for arc length

Q: 1/5 a) S J1/10 10 Arc sin(5x) dx

A: Please see the below picture for detailed solution.

Q: Let f(x) lim I→ 6+ if x = Calculate the following limits. Enter "DNE" if the limit does not exist.…

A:

Q: Question 4 Use Laplace transforms to solve the differential equation: d²x di 2 + 4x = cos(21) where…

A: Topic:- application of integration and differential equations

Q: A diabetes test is positive 85% of the time when the patient has diabetes and negative 95% of the…

A: Given data:- Diabetes test is positive 85% of the time when the patient has diabetes  diabetes test…

Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to…

A: We have to find the sum  ∑j=16 8j + 5.

Q: If f(x) = f'(x) = 4-3x7, find f'(x). Use exact values.

A:

Q: Evaluate the definite Integral. Use a graphing utility to verify your result. [² (u - ) du

A:

Q: tan' (2)

A:

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x + 4 between x =…

A: Given function, y=4x+4 x=6, x=8 First we draw the diagram

Q: Find the derivative of ( Ⓒ) (05'(x)

A:

Q: Express the rule in function notation. (for example the rule “square, the subtract 5”is expressed as…

A:

Q: Evaluate are f(4) And solve f(x)=1

A:

Q: 7 Write a limit using summations that would equal S Answer: lim N→∞ n k=1 [x³ - 4] dx. Submi

A:

Q: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

A:

Q: - п/2 эт/2 п/2 0 п/2 3г/2 5г/2

A:

Q: 2) The region in the first quadrant bounded by y = x y = 2. Calculate the volume using the shell's…

A:

Q: (b) If f(x)= |x-1| is now restricted to the domain x ≥1, find f¹(x) and state its domain and range.

A: Given problem:- If fx=x-1 is now restricted to domain x≥1, find f-1x and state its domain and range

Q: Find the limit of s(n) as n → ∞. [n(n + 1)] 2 s(n) 1 [n(n n²

A:

Q: The annual rainfall in a certain country varies from 0 to 9 inches and is a random variable with…

A: It is given that the probability density function for the annual rainfall value is given by below…

Q: 04115

A:

Q: Evaluate f(1). b) Evaluate f(-1). c) Solve f(x)=2. d) Solve f(x)=-

A:

Q: 8 Sex dx Calculate

A:

Q: Obtain the General Solution of the following differential equations. 1. x²y y' = ey 2. (xy + x)dx =…

A:

Q: Evaluate the limit of the given functions. 3x² - 17x+ 20 25x + 36 1. 2. lim x+44x² t³-1 1 lim t-1…

A:

Q: x2-x1/3=0 x1/3(x5/3-1)=0 How do I get to the final simplification from the first equation?

A:

Q: Determine the following limit in simplest form. If the limit is infinite, state that the limit does…

A:

Q: The function f(x) = x³ + 7x² + 7x − 25 is graphed below. Plot a line segment connecting the points…

A:

Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

A: The given series: ∑n=2∞-1nxnn2nWe need to find the interval of convergence.

Q: EX #3: Roller Coaster A hypercoaster is a special circuit roller coaster with a height measuring…

A: A hypercoaster is a special circuit roller coaster  with a height measuring greater than 200 feet.…

Q: Find the values of x, y and z that correspond to the critical point of the function 2 = f(x, y) =…

A: The given function fx,y=4x2+8x+7y+3y2 To find the critical points of the function

Q: Find the differential dy of the given function. (Use "dx" for dx.) y=6√x + 7 x dy

A: To find the differential dy of the given function.y=6x+7x

Q: Part A The population p, in thousands of bacterial colonies on a kitchen bench can be modelled by…

A:

Q: Calculate the length of arc of y = 2x/² for 0≤x≤1

A:

Q: 4. The population, P, of a school of fish t years after being released in a new habitat is given by…

A: The solution is given below

Q: 5 (x²-4)

A:

Q: Proceed to What I Know Chart for this part. 4) Activity 5: Check for Understanding (10 mins) ad of…

A: To verify if y=e-3x is a solution of given differential equation or not.

Q: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A:

Q: Differentiate the following function. You do not need to simplify the derivative. F(x) = 4e²² F'(x)…

A:

Q: 9. Find the area bounded by a parabola and any right chord. (Use the parabola y² ax, chord x = x1.)

A: solution is given below..

Q: - 5. Find the area bounded by the curve y² − 3x + 3 = 0 and the line x = 4

A:

Q: For the following equation, find Answer: dy da || y = -4x5 8x³ + x² +9x

A:

Q: Σa_₁ (-_^_-) n² 'n n+1 Select one: O True O False is convergent.

A: To determine whether the following statement is True or False.∑n=1∞ nn+1n2 is convergent.