Find the area of the surface obtained by rotating the given curve about the x-axis. Round your answer to the nearest whole number. x = t², y = 2t, 0≤ t ≤ 5 O

Q: Can you write it in a paper? I don't understand

A:

Q: I z2+ 8z + 12 f(z) = a) Give the domain of f (in interval notation) b) Find the critical numbers of…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A payment of $2,600 was due three years ago, and a payment of $1,450 is due today. What single…

A:

Q: Let (t) = 5 cos(t) and y(t) = 3 sin(t) All answers should be decimals rounded to 2 decimal places.…

A: Applications of differentiation

Q: Eliminate the parameter t to find a simplified Cartesian equation of the form y = mx + b for [x(t) =…

A:

Q: Prove that the equation 3x² – 3x + 2 = 0 has a solution on interval [0; 1].

A:

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

A:

Q: 18. f (x+9)dx x²+6x+25

A:

Q: The length of the hypotenuse is 11. a is the length of the side opposite the 10° angle and b is the…

A: Solution is here

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

A: Given problem:- Find the volume of the solid generated by revolving the area bounded by the given…

Q: A payment of $1,900 is due in 3 years, and $3,800 is due in 5 years. What single payment made today…

A: We want to find the amount he want to pay now

Q: crowave oven is stands for the number of units produced. 100 000 C(x) = 0.002a³-0.06x² +120x+5000,…

A: Please refer to the image below

Q: Given the function y=f(x), y" is found to be positive over the interval (4,8), then over this…

A: This question can be solved using the relation between second derivative and concavity of the…

Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. Show solution and…

A:

Q: Find the transition points. y = 6x5 - 90x³

A:

Q: 3. f Arccos 2xdx

A:

Q: Problem 3. A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is…

A:

Q: 2. Given f(x, y) = 12x2x³ + 3y² + 6xy. (i) Find critical points of f. (ii) Use the second derivative…

A: To find out the critical points of f.

Q: Solve the differential equation: (2x - 4y - 3)dy=(x-2y)dy

A:

Q: Show

A: Please refer to the image below

Q: Find x and y such that 64, x, y, 1 is part of an x = , y = Then find x and y so that the sequence is…

A:

Q: Consider the system: a) show that [3t+4] =-2t+1 4 Z t-1 b) golve (*) with the initial condition.…

A: Solution

Q: Hewlett Plastics Inc. received a loan of $57,500.00 at 3.75% compounded quarterly to purchase…

A: We know formula for compounded interest:A=P1+rnntwhere A= Principal amount +total interest amount,…

Q: 1² ax +6 cos(x³) (A) True B) False |dx=0

A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0

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: C Let a and C be positive constants. Let be с the upper semicircle (x − a)² + y² = a² y ≥ 0, from…

A:

Q: Q: 1 the first derivative test to find the intervals on which the function f(x) = xe-* = is…

A: Given, f(x)=xe-x

Q: dx 20.5 x√4x²-49

A:

Q: S= x² +2 (x-2)(x²-2x+2) dx U 2-2x 3 (√(√² ²²2²X + 2 + x ²³ 2₂ ) dx X-2 2-2x

A: given ∫x2+2x-2x2-2x+2dx

Q: Find the exact solution for e^2x-6e^x-72=0  If there is no solution NA x=___

A: We have to find the exact solution for  e2x-6ex-72=0.

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: Apply Definition 1.4 of Chapter IV to show that the function f(x) = 3x + 2 is integrable on the…

A:

Q: In evaluating x=3.98. dx x²-9 is same as evaluating lim (In(f(x))). Determine the value of f(x) if…

A: First we evaluate f(x) using substitution

Q: -4x⁹. sin(x) (1+x²)² dx=0

A: Follow the procedure given below.

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

A:

Q: If f is continuous on [a,b], then [a,b], then A) True B) False [ f(x)dx = πf f(x) dx

A:

Q: INTEGRO-DIFFERENTIAL 1. y" + 5y' - 4y = 0

A: Given: y''+5y'-4y=0 y(0)=2y'(0)=4

Q: If you evaluate the integral expression Blank 1 Add your answer 12x + 1 dx the result is Blank 1…

A:

Q: Give the following infinite sum and limit: 8 2n-1 3n+2¹ n=4 a) rsin r (b) lim 20 x² + e²-1

A:

Q: A bucket that has a mass of 25 kg when filled with sand needs to be lifted to the top of a 20 meter…

A:

Q: 2. Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. HI-4 (a) lim f(x)g(x) #114 (b) lim…

A: Given problem:-

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

A:

Q: Find the determinant of the matrix, O22-122-13 O22-12A +13 O²+12+13 02-13 2-11 4 6 2-1

A: Topic = Determinant

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

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: Using Simpson's method spaces) √²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with…

A:

Q: In evaluating dx , is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=4.6. C-3+…

A:

Q: In evaluating 2 dx 5₂₁²= is same as evaluating lim_cos-¹(f(x))|c. Determine the value of f(x) if…

A: Derivative of cos(x) = - sin(x) We have to find the value of f(x) at x=0.96

Q: Which of the following is not true? 4dx 4dx A S.. lim √x(x+6) c √x(x+6) 5 dx dx So 25-x² B = lim…

A: We have to find out the option

Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Answer is following.

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