7. a. Find the intervals at which f is increasing and decreasing and the open intervals at which f is concave up and concave down. b. Find the inflection points (if any) and the relative extrema (if any). c. Draw the graph. f(x) = x'/3 – 2x3/3

Q: Sketch the graph of the function. y = −4 csc 3x

A: Given: y=-4csc 3x

Q: The equation of the parabola that has a horizontal axis of symmetry, touches the line x= - 8 and has...

A:

Q: If v = 5i - 2j and w = -3i + 4j, find the dot product v.w

A: Here given as v=5i-2j and w=-3i+4j

Q: -1.3f+0.4j-12-1+2.9f simplify the given expression given

A: The given expression is, -1.3f+0.4j-12-1+2.9f

Q: Evaluate the integrals

A: To Determine: Evaluate the integrals  Given: we have ∫01t3i+7j+t+1kdt Explanation: we have an integr...

Q: can u write step by step

A:

Q: Mass from density Find the mass of the following objects with the given density functions. Assume (r...

A: Given that the solid paraboloid D = {(r, θ, z): 0 ≤ z ≤ 9 - r2, 0 ≤ r ≤ 3} with density function ρ(r...

Q: Dot products and angles Let u = ⟨√3, 1, 0⟩, v = ⟨1, √3, 0⟩, and w = ⟨1, √3, 2√3⟩.a. Compute u ⋅ v.b....

A: Given vectors u=3,1,0, v=1,3,0 and w=1,3,23we have to a) compute u·vb) find the angle between u and ...

Q: 23. (3y2+2xy)−(2xy+x2)dydx=0

A: Solution:- The given differential equation is  (3y2+2xy)-(2xy+x2)dydx=0 

Q: Insert either <, >, or = in the blank to make a true statement l-2 l …...4/17 ÷ 4/17

A: Given: -2.........417417

Q: What distinguishes a weak matrix from a strong matrix?

A: Weak Matrix Strong Matrix In a weak matrix, the project manager role is limited to coordinating pr...

Q: A disease has hit a city. The percentage of the population infected t days after the disease arrives...

A: The function for approximation of the percentage of infected is Pt=7te-t/13.

Q: In Exercises 41-44, verify by differentiation.

A: To verify: ∫x+13-5dx=-14x+13-4+C. We know that integration is opposite of differentiation. So, when ...

Q: 2 f(2 – x) f(x) + f(2 — х) f(2 — х) 2) Given that is integrable on [0, 2], evaluate the integral dx ...

A:

Q: Find parametric equations for the line through Po= (3, -1, 1) perpendicular to the plane 3x + 5 y - ...

A:                           Given:  a Point Po =(3, -1, 1)  and a vector perpendicular to the plane is...

Q: Unit normal vector Find unit vectors normal to the vectors ⟨2, -6, 9⟩ and ⟨-1, 0, 6⟩.

A: To find unit vectors normal to the vectors ⟨2, -6, 9⟩ and ⟨-1, 0, 6⟩

Q: Find and graph the coordinates of any local extrema and points of inflection of the function y = x- ...

A: To find the coordinates of any local extremum and points of inflection of the function

Q: Find a fourth-degree polynomial function f(x) with real coefficients that has -1, 1, and i as zeros ...

A: We have to construct a four-degree polynomial function  whose roots are -1, 1, i also, f(3)=160

Q: Sequences versus series {(- a. Find the limit of the sequence 5 4\k b. Evaluate 2 k=0

A: a. Given: The sequence -45k To find: The limit of the sequence.

Q: In Exercises 21-24, find an equation of the plane passing through the threepoints given.24. P = (2, ...

A: we have to find an equation of the plane passing through the given points are P=(2,0,0) , Q =(0,4,0)...

Q: Determine whether the given function is even, odd, or neither. Then determine whether the function’s...

A: Given f(x)=x3-xeven function: if f(-x)=f(x)odd function: if f(-x)=-f(x)

Q: Determine whether the given statement is true or false. If the statement is false, make the necessar...

A: Given that: The statement : "If f(x) = √x and g(x) = 2x - 1, then (f ∘ g)(5) = g(2)."  

Q: Find an equation of the form y = A sin Bx that produces the graph shown in the figure.

A: Given: The graph of the equation is: We have to write the given function of the form  y = A sin Bx ...

Q: 1. The graph of f(x) = 2x3 + x² – 20x + 1 has a relative minimum at %3D A. x = -2 5 B. x = 3 C. x = ...

A:

Q: let u = 83, -29 and v = 8-2, 59. Find the(a) component form and (b) magnitude (length) of the vector...

A: Here given  u=83, -29v=8-2, 59=6, 59 Thus the component of the vector 35u+45v is 35u+45v=3583, -29+4...

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: