Find the area of the surface generated by revolving the curve y = 2√x, 1 ≤ x ≤ 2, about the x-axis. Sketch the graph.

Q: Which of the following functions represents the graph of f(x)=√x+1-2? 6 5 4 3 2 f(x) -10 6 7 -1 O O…

A:

Q: Direction: Prove by mathematical induction that k3²(+1)² for all n E N. Use the definition of the…

A:

Q: Find the area bounded by the graphs of y = cos x and y = x² y=x² y = cos x + X

A:

Q: b. |ā + (bx c)|

A:

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A:

Q: 7. Given: [x,y,z]= [1,-1,5]++[3,4,7], determine the symmetric equations for the line If (13,15,23)…

A: Explained below

Q: Which of the following matches the graph of f(x) = 2(x − 1)(x + + 1)²(x + 2)?

A: NOTE: Refresh your page if you can't see any equations. . the given function is  the power of the…

Q: 10. lim, [(2)(x²+x-5)] A. -6 B. 0 C. -2 5 D. 4

A:

Q: +7+ 3xf x for x ≥ 1, where x is the number of rackets produced per hour. For a company that…

A:

Q: If an object is moving along a horizontal line, such that it's velocity, v(t) = = 3¹, what is the…

A: Given :Velocity , V(t)=3t

Q: Using synthetic division, determine whether the numbers are zeros of the polynomial function. -1, 2;…

A:

Q: where t is time in seconds and the dimensions

A:

Q: Check whether the points (0,7,-10), (1,6,-6) and (4,9,-6) are the vertices of an isosceles triangle.

A:

Q: Solve the initial value problem y"+y=f(t), y(0)=y'(0) = 0, (21 2t if 0 1

A: Here is the solution of the given problem. We solve this problem by using Laplace transformation

Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: sin (a) ə…

A: The simple matrix

Q: Considering the definition of f(x) below, find lim f(x). x→6 f(x) = -2x² + 3x - 2 -x²-x-2 -x² +1 if…

A:

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: To find the absolute extema first I have find the derivative of f(x) , set them equal to zero and…

Q: Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

A: Given problem:- Find the absolute extrema if they exist, as well as all values of x where they…

Q: find f'(x). 5x(x+2 tan(x)) sec (x) Find f'(3). f(x)= 5x² tan z sec z

A:

Q: Q2 Q1 Find the points of intersection of the polar curves r-cos = 0 and 2-cos -r=0

A:

Q: Consider the following figure where AABC~ ADBE. B D E EB = A Given: Find: C AC = 9, DE = 6, CB = 4…

A: Given query is to find the length of EB.

Q: f(x) x→0 x² (a) lim f(x) X-0 (b) lim If lim = 1, find each of the following limits. f(x) X→0 X I X X

A:

Q: 2 - 772 + 317 - + ه ها- لا + 772 - 222 . 2x 3

A: Concept: Without upper and bottom constraints, indefinite integrals are defined. It's stated like…

Q: Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx = 5x + 9y +…

A:

Q: 19. Find the solution of the given initial value problem. y’’-2y’+5y=0,     y(π/2)=0, y’(π/2)=2…

A:

Q: Evaluate the function f(x)= -2x+8 at the indicated values. a) Find f(3). b) Find f(-2).

A:

Q: Use the quotient rule to find the derivative of the function. 3t² - 1 g(t) 2t + 5 =

A:

Q: Directions: Solve for the derivatives of the following function. Write the letter of the correct…

A:

Q: 1 1- x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: identify the equation of the curve that passes through the point (0, 1) and who tangent line has…

A:

Q: Problem 9. Find absolute extreme values for (2) g(t)= = √t 1+t²⁹ x = [0,2].

A:

Q: Given the following piecewise function, evaluate lim f(x). x→2 -x² - 2x - 2x² - 1 f(x) = -2x² - 3x +…

A: Explanation of the answer is as follows

Q: Evaluate the indefinite integral Го уз (y² - 3) dy. y5 - 3y³ + C О О yo 3y1 +C 6 4 O y1 / y³ 1 (4 -…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: = A) Prove that eie = ei(0+2x),where k = 0,±1, +2,....,

A: In order to prove, consider right hand side and simplify appropriately.

Q: Compute AB, where A AT B = = 24 09 4 -3 -1 and B = 76 (1 %). 6 4

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it…

A:

Q: 4. im [(x-4)(x+6)] A. -8 B. 9 5. lim, [(4)(x-25x-5)] A. -35 B. 30 A. 11 B. 10 C -9 C. -32 C. 9 5 D.…

A: (4)  limx→3x-4x+6=limx→3x-4limx→3(x+6)                             =3-4(3+6) limx→3[(x-4)(x+6)]=-9…

Q: b) Give the augmented matrix associated to the system of linear equations above. Answer: ab sin (a)…

A:

Q: 3. 2 cos¹ √x = cos ¹(2x-1) 0≤x≤1

A: We have to find out

Q: d. the expected value of a discrete random variable For numbers 9-10, refer to the probability…

A:

Q: 2. y' y' = y+x²y , y(0) = −2

A:

Q: 12 14 16 18 - 3 9 27 81 ume the first term is a₁ 3 2 20 243 --}

A:

Q: The definite integral that will give the area of the region R using VERTICAL strips is +2 ° ³* ((2²…

A: Explanation of the answer is as follows

Q: If sin t = and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t)…

A:

Q: The Great Molasses Flood At 1:00PM on January 15,1919, an unusually warm day, a 90-ft high, 90-ft…

A: We have to solve for force exerted by the molasses.

Q: df Use integration to find f(4) if- dx O 42.667 O 43.667 O 47.667 O 48.667 = 2x² and f(0) = 5.

A:

Q: Determine (without solving the problem) an interval in which the solution of the given initial value…

A:

Q: Consider a function f that is continuous on [-2, 4] with f'(x) = 0 whenever x = 3 or x = 5. Suppose…

A: Explanation of the answer is as follows

Q: Use finite approximations to estimate the area under the graph of the function f(x)=8-x-2x between x…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

A: