Find the indicated powers by using a suitable representation: 10 a) 1 + 1 2 b) is

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A: The given function is  f(x)= x3-12x+7  We have to find  a) relative minimum points b) relative…

Q: ed a clear answer by hand, not by

A:

Q: =1 Find hat such that fal= (h ol F(x) = √x +13 -4 g(x) = 8x + Suppose that g(x) h(x) =

A: Topic:- calculus

Q: The base of a solid is the region enclosed by a circle having a radius of 7 cm. Find the volume of…

A:

Q: Evaluate the integral. 5 1³w² w² In(w) dw

A:

Q: -2 1 1 -1 -3 1 -2 are operations R2 = -2R1 + R2 and R3 = 3R1 + R3 used to convert the 2 and 3 in the…

A: We can find two row operations.

Q: Find the difference quotient f(a+h)-f(x) h for the function given below. f(1) = -9z+8 Give a…

A:

Q: The absolute maximum value is (Use a comma to separate answers at x = as needed.) The absolute…

A:

Q: 5. Choose the correct answer for the number of (a) the vertical asymptote(s) (b) the horizontal…

A:

Q: 12-14 Simplify the expression. 12. tan(sin ¹x) 13. sin(tan ¹x) 14. sin(2 arccos x)

A:

Q: Researchers measured the average blood alcohol concentration C(t) of eight men starting one hour…

A:

Q: EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of a building, 350 m above…

A:

Q: Use the cylindrical shells to find the volume of the solid A sphere of radius r

A:

Q: What is the general solution of the differential equation below when x > 0, y > 0.  dy/dx = -x2y2

A: A detailed solution is given below.

Q: Use the indicated substitution to evaluate the integral. 17/2 rdz 289 17/2 1. x = 17 sin t x²dx √289…

A: To evaluate the given integral.

Q: 5 Sº dx 400 + x²

A: Topic:- application of integration

Q: 8. y e²x dx = (4 + e²x) dy.

A: Need to find out the solution of the differential equation.

Q: x² - 10x x-0 9x²-x (d) lim

A: Given query is to find the limit of the expression.

Q: What is the general solution of the differential equation below?  dy/dx = y/(x2 + 1)  when y > 0.

A:

Q: 7x4-12x²+5=0 71x1² 110

A: 7x4-12x2+5=0 by hit and trial method clearly x=1, -1 is the root of the above polynomial equation.…

Q: y = (0,1) mox: (1,12) 2.Write the equation of the given graph. U wwtaai-y 3. A pen consists of 4…

A:

Q: The demand equation for the Roland portable hair dryer is given as follows where x (measured in…

A:

Q: MATH 12 Worksheet 2: Fundamental Theorem of Calculus 1. Definite Integrals and the Fundamental…

A:

Q: .   Use Simpson's rule with  n = 4  equal subintervals to approximate the following. (Round your…

A:

Q: 1) The volume of a right cylinder is given by the equation V = r² h, where r is the radius and h is…

A:

Q: Find the indicated derivative using implicit differentiation. e²t_st = 6; dt " ds

A: Topic- implicit differentiation we are given ,es2t-st=6we know that(uv)'=uv'+vu'(eu)'=euu'where u…

Q: iv. f/6(sec²(x)) dx

A: Integration

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) 1…

A: To evaluate the given integral

Q: Differentiate y=11x³ +4

A: Given, y=11x3+4

Q: 12-14 Simplify the express 12. tan(sin ¹x) 13. sin(tan ¹x) 14. sin(2 arccos x)

A:

Q: Find zr if z = xyev, x = rcos(t), y = rsin(t), when r = 2 and t Zr TU 6

A: We need to find out Zr.

Q: Consider f(x)=5x-3-41/x^2 c) Find the equatino of the tangent line at x = 2 to the graph of y =…

A:

Q: - Two forces are applied to the construction bracket as shown. F₁ = 800 lb and F2 410 lb, and their…

A: Topic- vectors We are givenF1=800lbF2=410lbangle F1makes with x axis=70°angle F2makes with x axis=θ°…

Q: - IV. Solve the VSDE (x² − 3)dx + xydy = 0.

A: Topic = Differential equation

Q: C) f(x)=- --x-21-

A: Need to write down that how we can graph the given function and also need to find out the domain and…

Q: Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), A = {1, 4, 7, 10, 13), B = {1, 2, 3,…

A: topic - sets  we are given  U ={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} A={1,4,7,10,13}…

Q: Consider f(x)=5x-3-41/x^2 Which of the following does the x-intercept of the tangent line at x=2…

A:

Q: A cup of coffee is removed from a microwave. Its initial temperature is 199 degrees. After exactly…

A: In the given question: A cup of coffee is removed from the microwave, θ1=199∘C After 11 minutes…

Q: Consider the graph below of the function g(x) to evaluate the integrals. The graph consists of two…

A: The integral is consist of area under two straight line and one semi circle

Q: Evaluate the integral. *π/4 [" sin ³(x) dx

A:

Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.

Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3 , f'(1) = 0 , and f'(2) = -1.

A: Let equation of the function be, f(x)=ax³+bx²+cx+d ...(i), a,b,c,d are constants.

Q: Use the graph of the function to find its domain and range. Write the domain and range in interval…

A:

Q: Differentiate the following function. f(x) = x5 e5x f'(x) =

A:

Q: QUESTION 1 Determine the solution of the 1st Ordered Differential Equation: xy³ dx + ye dy = e-*dy

A:

Q: 1. Using IBP, if the integrand involves a logarithmic function multiplied by an exponential…

A: Given :1. A logarithmic function multiplied by an exponential fuction, then   exponential function…

Q: II. Show that y = C₁e²x₁ C₁e²x + c₂e³x is a solution to the DE y" - 5y' + 6y = 0.

A: Find the roots of the DE and then use them in the general solution.

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

Q: Graph the function and identify intervals on which the function is increasing, decreasing, or…

A: In order to find range we have to check for maxima and minima

Q: Let f(x)=2x+1, find f(a), f(h +a), the net change, and the average rate of change. I found…

A: