Find the length of the curve from the entire hypocycloid 2 2 x3 + Y³ = a³.

Q: - 2500q, what cost is incurred when marginal profit is $0? Given Cost and Revenue functions C(q)…

A: In this question, we need to find the cost when the marginal profit is $0.

Q: Sx√x + 1dx

A:

Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

A:

Q: 5. Given that W 8.25 √y The value of x,y and z are measured with maximum percentage error of 1%, 2%…

A: Let's find maximum percentage error in w.

Q: ,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

A:

Q: For the function y =f(x), it was found out that f"(c) = 0. What can be said that x=c? critical point…

A:

Q: Find the complete solution of e sinx- - Note: fe" du = e" + C dy cos² x=0. dx

A: e-y sin x-dydx cos2 x=0⇒dydx cos2 x=e-y sin x⇒ey dy=sin x cos2 x dx⇒ey dy=sin x cos x·1 cos x dx⇒ey…

Q: View Policies Current Attempt in Progress The vector (-1, 1, -2) is a solution of the linear system:…

A: We have determine the vector solution

Q: 1. dx x-19-x

A: Given :∫dxx49-x2

Q: ²) S₁₂ x ² √ x²+1 dx St 2)

A: The given integral is; I=∫07xx2+13dx   ....(1) As we know the Power Rule: ∫xndx=xn+1n+1+C

Q: Find the area bounded by y=-x²+1, y = − 2x + 2, x=-2, and y=2. (A) 5 B) 16/3 C) 1/3 (D) None of…

A: We can find the area as below.

Q: Find the complete solution of ds dt = 5t* √√s.

A: Given problem:- Find the complete solution of dsdt = 5t4√s

Q: Using Simpson's method 2 x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A: The Simpson's 1/3 rule for integration is given by, ∫ab f(x)dx≈Δx3f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+…

Q: Find the intercepts and the vertical asymptote of x²-2x-3 4 Enter the intercepts as points. (a, b),…

A:

Q: 5 dx In evaluating 1 is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.91.…

A: ∫ 351x2-9dx

Q: In evaluating 2 dx x√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

A:

Q: Find the average value of f(x, y) = sin(x + y) over a. The rectangle 0≤x≤ 1,0 ≤ y ≤ n b. The…

A:

Q: (b) f is concave down on (-∞, 1) and concave up on (1, ∞). (c) lim f(x) = -∞ and lim f(x) = ∞. x-1-…

A: As per the guidelines we can solve 3 parts only

Q: . The area bounded by the parabola y² + x - 2y = 1, the x-axis, and the line x = 2 revolves about…

A:

Q: Find the arc length of the polar curve described by: r = 10 + 10 cos 0

A:

Q: (2) Solve for all values of x over the interval [0,27]: 2sin(x) = sin(2x)

A: Topic = Trigonometry

Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: 3. Given that 2 = 6²¹ sin (u + ), e2v Use chain rule to find az/0x when x = 0, y = 0. u=e¹ - sin (y…

A:

Q: 6. (10 points) Give the equation of the tangent line of the following function at point a = 1: xe…

A: Solve by Differentiation

Q: Find the area bounded by the parabola x = 8+2y-y², the y-axis, and the lines y = -1 and y = 3.

A:

Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all x € (a,…

A:

Q: iii. lim (1-sin x) tan x x→ I COS cos((x - 1)) iv. lim I-0 r³3r

A:

Q: xdx √2x-1 1.5.

A:

Q: In evaluating 4 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=2.9…

A: Given

Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

A:

Q: 1. y = √2x +7 2. y = √7+√√3x + 1 3. y Arctan√1-x²

A:

Q: Find the complete solution of ds dt = 5t* √s.

A:

Q: Evaluate √x² + x + 2 dx x²-1 x+1 In: +C (x-1)² 0₁ (x-1)² In- + C x+1 O x + 1 (x-1)² (x-1)² x+1 X+…

A: Solution is here

Q: 22

A: We will solve the problem

Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). The…

A: To find the intercepts and the vertical asymptote of the following rational function.fx=x2-2x-3x-4

Q: For the function y =f(x), it was found out that f"(c) = 0. What can be said that x=c? O critical…

A: We can find the answer as below.

Q: Use the one-to-one property of logarithms to find an exact solution for   ln(2)+ln(2x2−6)=ln(69)…

A:

Q: 2 ( - 12/² + 1) In X 11) lim

A:

Q: Given than f(x) dx = -5 and [² 1 (² A [² f (x) dx + ₁²5 (2²) dax = 0 f(x) ® √₁² f(x) dx = 8 B © f…

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x6) sin(4x…

A: Explanation of the answer is as follows

Q: The population of a city is modeled by the equation  P(t)=335,242e0.25t where tt is measured in…

A: Basic properties of ln are used

Q: A bank has decided to set its interest rates to compound monthly on all deposits in order to give…

A: We know the compound interest formula:A=P1+rnntwhere A=Principal amount +interest Amount…

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

Q: Which of the following is not true? (A) None of the given choices 3 dx dx Ⓒ = S B S³ = In(x²) lim c→…

A: All Option are  correct So we have to choose Option 'A'

Q: To integrate x3x² dx' Ox хех2 242 x² OX we apply integration by parts and in the form u dv, dv is…

A: We have to determine the integral

Q: 1 -dx= 4 -2 X A True B) False m 100

A: True or false ∫-211x4dx=-38

Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(2x+12)+1.8…

A: This question is related to Functions, we will solve it using given information.

Q: Q2: Find Maclaurin series for the function f(x) = (4-x) (four terms only), then find the error…

A:

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (6x + 12) + 1.3…

A: Domain of a function:-  Set of all values of independent variable such that function at that point…