rder s speed over a Interval is given by the following function, where W(t) is the speed, in words per minute, at time t. W(1) = - 5t + 20t + 60 80- a) Find the speed at the beginning of the interval. b) Find the maximum speed and when it occurs. c) Find the average speed over the 6-min interval. 60- 40- 20- 1 2 45 a) The speed at the beginning of the interval is words per minute. 3-

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x5 on the in...

A:

Q: use addition-subtraction method

A:

Q: Solve the equations by substitution method x+y+z=7 2x-y+z=9 3x-z=10

A:

Q: Verify the identity: 1/(sin θ + cos θ)+1/(sin θ - cos θ) = 2 sin θ/(sin4 θ- cos4 θ)

A:

Q: Calculus Question

A: Plot the polar curve and consider one loop for the lamniscate.  

Q: Initial velocity Suppose a baseball is thrown vertically upward fromthe ground with an initial veloc...

A: It is for the reason that the peak of the ball at time t. Where v is the to begin with speed. We wo...

Q: 5.4 Problem #16 Show how to approximate the required work by a Reimann sum. Then Express the work as...

A:

Q: Let f(y) be a continuous function. Suppose that f(−10) > 0 and f(10) < 0. Show that there is a...

A:

Q: Find dy/dx if  y=(x+1)x

A:

Q: find antiderivative For of the function an ix)-5sinx such that FCO)=1.

A:

Q: Evaluate the integral and find the value of C

A:

Q: Write a piecewise function that models each telephone billing plan. Then graph the function : $60 pe...

A:

Q: Calculus Question

A:  

Q: 9x -dx. Evaluate the integral / Ta2 + 1)(2x – 2) -

A:

Q: Use the method of cylindrical shells to find the volumegenerated by rotating the region bounded by t...

A:

Q: Find the average value of the function over the given interval and all values of x in the interval f...

A:  

Q: differentiate the functions and find the slope of thetangent line at the given value of the independ...

A: We differentiate both sides with respect to x  

Q: y'=y2ln(x)-y/x ; y(1)=1 Solve the initial value problem.

A:

Q: 5.4 Problem #4

A: Integrate W with respect to x as follows.

Q: Solve the right triangle with B = 16.8°, b = 30.5, shown in the figure. Round lengths to two decimal...

A:

Q: A manufacturer estimates a production function to be f(x, y) = 100x0.6y0.4 where x is the number of ...

A: Given  Production function is  f(x, y) = 100x0.6y0.4  where x is the number of units of labor and y ...

Q: Find the derivative of f (z) = 3ª In (z). Enclose arguments of functions, numerators, and denominato...

A:  f(x) = 3x ln(x) we know that-->      

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. ∫ x2 cos x ...

A: We want to reduce the degree of x. So we are going to set u=x2 and dv=cos(x).dx Then integrate with ...

Q: Compute the average value of the f(x)= (7x²+6x+18)e*on the function interval [-6,7].

A:

Q: If exist, find the local maximum, minimum and inflection points of the functions f(x)= 2x3-69x²+138x...

A:

Q: Evaluate the integral 5x dメ (x²+1) (2x-2)

A:

Q: Use a matrix to solve the system  -5x - y     = -4          y -2z= -5 x- 2y +z=5

A:

Q: City A has a current population of 500,00 people and grows at a rate of 3%/year. City B has a curren...

A: Given  City A :-  current population(P) is  500,00 people and growth rate (r) is 3% or 0.03  City B ...

Q: 52. Expanding Matrix Bionomials (a) Prove that if A and B are 2 x 2 matrices, then (A + B) = A² + AB...

A:

Q: Evaluate lim (1 + x) y/x . (x,y)➔(0,2)

A:

Q: decide if the given statement is true or false,and give a brief justification for your answer.If true...

A:

Q: The function models the government tax revenue, f(x), in tens of billions of dollars, in terms of th...

A: Given  The function models the government tax revenue  

Q: Determine the values of z where the function f (x) is not continuous. Label each discontinuity as re...

A:

Q: show that function  y1=x-1 is a special solution of the differential equation y'=1 - ( y-x+1)2 and f...

A: Given the differential equation y’ = 1 – ( y – x + 1)2 and we have to show that y  = x -1 is a solut...

Q: Find the distance between the pair of points. 6 (-) m () 6 -5.13 and 5, 13

A: Here given p[oints as Use the distance formula between two points which states

Q: Insert either <, >, or =  to make a true statement. 17/18.18/17   50/60-5/6

A: We need to Insert either <, >, or =  to make a true statement.

Q: Ir th line x=4+2t, ーも paralled to the plone 3x +ry +2=7-

A:

Q: Properties of dot products Let u = ⟨u1, u2, u3⟩ , v = ⟨v1, v2, v3⟩ , and w = ⟨w1, w2, w3⟩ . Prove th...

A:

Q: a tan-" u du = 3u² + 1)tan-" u - +C 55.

A: To prove that, ------ (1)

Q: Fill in the blank/s: For the given scatter plot, determine whether an exponential function, a logari...

A:

Q: Find the general solution to the differential equation y'' - 4y' + 5y = 0.

A:

Q: Find a positive angle less than 360° or 2π that is coterminal with the given angle -760°

A:

Q: Find a + b, 2a + 3b, Jal, and |a - b|. а %3 (4, -3), ь - (-2, 5) a + b = (9,2) 2а + 3Ь %3D (2,9) |a|...

A: Here given as  

Q: Find an equation of the sphere with center (-4, 2, 8) and radius What is the intersection of this sp...

A:

Q: Hi, I'm doing my homework for Calc 2 and i'm on the chapter for applications of integrals. I'm still...

A:

Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid generate...

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.