Write the integral which gives the surface area generated when y = ¹ on 1 ≤ x ≤ 3 is revolved about the x axis. ○ 2π ₁³x²√1+16x6 dx ○ 2π ₁³√1 + 16x6 dx o fi x√1+16x6 dx 2π ₁³x²√1 +4x6dx O None of the other listed answers are correct. ○ 2π ₁³x²√1 +16x³ dx

Q: 15. Define the function f as follows: f(x) = { 1 241² if x = -1; x+1 10 if x = -1. Find limx→-1…

A:

Q: Roughly 12,000 people in a certain country are diagnosed with thyroid cancer every year, which…

A:

Q: Consider the following. x² + y² = 81 (a) Find two explicit functions by solving the equation for y…

A: Find the two explicit function sloveing equationx2y2=81

Q: 4. Use the graph of f given below to evaluate the following limits, if they exist: 4 3 -4 -3 -2 -1 2…

A: The graph of the function is given

Q: Suppose that the position of a particle is given by s = f(t) = 2t³ + 7t + 9. (a) Find the velocity…

A:

Q: Find an equation of the sphere with center (-1, 1, -2) and radius 4. = 0 Note that you must move…

A: We are given the center (-1, 1, -2) and radius(r)=4 of the sphere and we need to find out the…

Q: Determine the Least Common Denominator that would allow you to eliminate the 3 4 fractions and solve…

A: To determine the Least Common Denominator that would allow to eliminatethe fractions and to solve…

Q: 2. g(x) = on 1≤x≤5

A:

Q: Question 4 Use the function f(x) x 3 2.5 2.1 2.01 f(x) lim ƒ (x) = 4. I 2 Based on ONLY the table of…

A:

Q: 6 5 4 3 2 012 ) f(4) = 3) lim _9+x I C) lim y = f(x) x→6+ Enter each answer as a whole number or DNE…

A: As can be seen in the graph the function at x = 4 has one dot and two circles. The dot represents…

Q: Evaluate the limit: lim (3z-5) 24-4 =

A: given infomation

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. (3x +…

A: Given equation is

Q: Solve the initial value problem for r as a vector function of t. d²r Differential equation: = - 4k…

A:

Q: Find the centroid of the region bounded by the graphs of the functions 1 ㅠ and x = and touching the…

A:

Q: 1 Evaluate Σ(3x - 2)² a): 136 b) 335 c) 432 d) 353

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find k such that the line is tangent to the graph of the function. Line Function f(x) = k√x y = 3x +…

A: To find  such that the line is tangent to the graph of the function.Finction: Line:

Q: Find the partial derivatives and if f(x, y) = esin (8x³y). . Find the partial derivatives f (x,y)…

A:

Q: A graph of y = f(x) is shown. Sketch the graph of the derivative function y = f'(x). -5 -4 -3 -2 -1…

A:

Q: Question 17 Use the limit definition of the derivative to find the slope of the tangent line to the…

A: By using the definition of the limit of the derivative to find the slope of the tangent line to the…

Q: A population of 400 bacteria is introduced into a culture and grows in number according to the…

A:

Q: 1. Find the partial derivatives f(x,y) and (x,y) if f (x,y) = 6xy - x³ y4 +7x - 2. Find the partial…

A:

Q: 1 Consider the functions f(x) = 5x +3 and g(x)=(x-3). (a) Find f(g(x)). (b) Find g(f(x)). (c)…

A:

Q: Prove that if A is a square matrix, then C = (A-AT) is a skew-symmetric matrix.

A:

Q: The tangent line to a smooth curve r(t) = f(t)i + g(t)j + h(t)k at t=to is the line that passes…

A: r(t)=(2t2)i+(4t+5)j+(3t3)kto=2

Q: 3. 1 2 4 -3 Let A = and let f(x) 2x3 4x + 5, g(x) g(A). Remark. In the evaluation of f(A),…

A: A=[1   2     4    -3]f(x)=2x3-4x+5g(x)=x2+2x+1Findf(A) and g(A)

Q: Identify the symmetries of the curve r² = 4 cos 0. Then sketch the curve in the xy-plane Identify…

A: Draw the curve for  on the cartesian plane.

Q: Under ideal conditions a certain bacteria population is known to double every three hours. Suppose…

A:

Q: Find the derivative of the function. 2x³ + 2x² X f(x) =

A:

Q: 5. Determine the area that lies inside r-3+2sine and outside r-2.

A: given curves are

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: e the graph to estimate the slope of the tangent line to y = x^" at the given point. Verify your…

A: Given that a function of tangent line equation and we find slope of this tangent line equation.

Q: 2. Find AB, where -1 4043-690 B = 1 -2 5 = [ A = 2 2 -1 -5 1 -2 1 2

A:

Q: Find the derivative of the logarithmic function. f(x) = In(-⁹x2) 9x Step 1 Rewrite the given…

A:

Q: Question 11 Find the average rate of change of g (x) = -1x³ + 1 from x = -1 to x = 4 - Question…

A:

Q: Let f(x) = (2x²-3) (-3x²+3) 5 f'(x) =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 3. Sketch the graph of a function f that satisfies all of the following. • lim f(x) does not exist.…

A:

Q: A particle moves along a straight path. The graph below shows the particle's distance traveled in…

A:

Q: Find the distance between the point (1, 1,-5) to the y-axis.

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A:

Q: For g (x) 2x^2+ 7x and h(x) = 4x - 1, g(h(x)) = x^2+= x+=

A:

Q: If a ball is thrown straight up into the air with an initial velocity of 85 ft/s, it height in feet…

A:

Q: Evaluate f(8) and f(8.1) and use the results to approximate f '(8). (Round your answer to one…

A:

Q: the method of cylindrical shells to find the volume V generated by rotating the region bounded by…

A:

Q: II2. Find an equation of the plane that contains the intersection points of the ellipsoid 9x² + 4y²…

A: To find the equation of plane?

Q: The equation r(t) = (12 sin t) i + (5 cos t)j + (8t) k is the position of a particle in space at…

A: If r(t) is the position vector then velocity vector, v(t) = r'(t)Acceleration vector, a(t) = v'(t)

Q: 7 2 x² +7 (a) (fog)(4) (b) (gof)(2) (c) (fof) (1) (d) (gog)(0) Given f(x)= |x and g(x)= find the…

A: Given ,  to find the following expressions:Note: Since the student has posted many sub-parts of the…

Q: * 3 -୯ 5 4 3 2 -1 -3 -4 -5 In the above graph of y = f( x ), find the slope of the secant line…

A: From the graphs, we find the slope of the secant line.

Q: Find x, y, z, t such that 6 x + y [38]-[48]+[24, ***]. =[ :] tu]. -1 2t 4 t 2z+t

A:

Q: 4. Find the values of c and d that make the function h continuous for all real numbers. [2x, x2

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 13. (x + ye) dx - xe dy = 0, y(1) = 0

A: given differential equation