Suppose that the derivative of a certain polynomial g(x) is g'(x) = 3x² + 12x + 15. On which interval(s) is g(x) concave upward? On which intervals is g(x) concave downwards? List the x-coordinates of any inflection points of g(x).

Q: Nasa launches a rocket at t=0 seconds. It's height in meters above sea level, as a function of time…

A:

Q: (a) (x, y) = (3, -3) + t(1, −6) X Y || (b) xi+yj+zk=k+t(i − j+ k) y || X = Z || ||

A:

Q: Evaluate the integral. 1 305 S.56 306 5 306 sin sin 1 305 cos 1 385 COS 1 305 de de =

A: let   R=∫53θ6×sin(13θ5)×cos(13θ5)dθwe know (i)  ∫xndx=xn+1n+1+c(ii)  d dx(cosx)=-sinx

Q: Match the equation with the surface it defines. Also, identify the surface by type (paraboloid,…

A:

Q: (4) Suppose the acceleration of an object is given by a(t) = t m/s. Its initial velocity is v(0) = 5…

A:

Q: (a) The length of the arc subtended by 0 is s = (b) The area of the sector with central angle 8 is A…

A: Since radius of the circle is r  Therefore the circumference of the circle is 2*pi*r

Q: Consider the function f(x)=1-5x², -5<x<2. The absolute maximum value is and this occurs at x = The…

A:

Q: Simplify the expressions below. (a) sin(arcsin(*)) = (b) For what values of x is your answer to part…

A:

Q: The graph of the following parabola will be narrower than the base graph of the parabola and be…

A: fx=-12x2+9

Q: 88. S x² dx .3 x³ + 2

A:

Q: You deposit $1,200each year for 8 years in an individual retirement account paying 7% interest. How…

A: You deposit $1,200 each year for 8 years in an individual retirement account paying 7%interest

Q: Evaluate the integral.

A:

Q: Water is leaking out of an inverted conical tank at a rate of 7600 cubic centimeters per min at the…

A: We have to use the concept of differentiation

Q: A. The series is absolutely convergent. C. The series converges, but is not absolutely convergent.…

A:

Q: Write the vertex form of a quadratic equation that opens up, is wider than the basic quadratic…

A: Given: The quadratic equation opens up, is wider than the basic quadratic graph, and has one…

Q: 5 Add + 3x 6 3x

A: We have to add the given numbers.

Q: The function graphed above is: Increasing on the interval(s) Decreasing on the interval(s)

A:

Q: Consider the function () Find the value of A: A + 2x - 10. f(x) has a critical point at = A. At x =…

A:

Q: dx x√25+x² 3. Use integral tables to evaluate f Identify the formula used.

A:

Q: Find all the second partial derivatives. f(x, y) = x6y4 + 4x³y fxx(x, y) = fxy(x, y) = fxx(x, y) =…

A: given  f(x,y)=x6y4+4x8ywe know→(i)  ∂ ∂x(xn)=nxn-1(ii)  ∂ ∂x(constant)=0

Q: 2 lim_x(x²) +0+x

A:

Q: In order to find the area of an ellipse, we may make use of the idea of transformations and our…

A: Given that,           The region R is given by:(x+4)236+(y-3)21=1

Q: Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer.) √3 2…

A:

Q: 19. f(x) X x² - 4 x²

A: Since you have posted multiple subpart question in this question and as per our company guidelines i…

Q: Convert the point (x, y, z) = (2, -3, -5) to cylindrical coordinates. Round answers to at least 4…

A:

Q: can i have question d. solution?

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. [(9x (9x - 8)…

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = 4x + 6y - x² - y² + 8, D =…

A:

Q: Use the explicit formula, b Š a 4 S (3x² - 2x+5) dx -2 n Σ f(a+k¹b-a)) (b=a] n f(x) dx = limfa+k-…

A:

Q: Given (1, 1) is a point on the base graph of f(x) = x5 and g(x) = (x+1)5 - 5, find where the point…

A:

Q: Use L'Hôpital's Rule to find the following limits: 20- limecos(2-0)

A: limθ→π22θ-πcos2π-θ

Q: Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile…

A:

Q: The graph of the derivative, f, of a function, f, is shown to the right. a. On what intervals is f…

A:

Q: Which translations are performed on f(x) = In(x) to graph g(x) = -In(x+3) - 3? Select all that…

A: The parent equation is f(x) = ln(x).

Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

A:

Q: find the derivative

A: I have appended the formula used in the solution procedure part of the question

Q: Find (A) the derivative of F(x)S(x) wit different from the answer to part (A). F(x)=x+1,S(x)=x^(9)

A:

Q: The ellipse If x= X + 3² 4² can be drawn with parametric equations. Assume the curve is traced…

A: The equation of the ellipse is:x232+y242=1

Q: Solve the following equations: In 2+ Ln(x+1)=Ln(4x-7)

A:

Q: Find the vector component of v = (4, -1,7) along b = (2, 3, -6) and the vector component of v…

A: v=&lt;4,-1,7&gt; and b=&lt;2,3,-6&gt;

Q: kindly answer it

A:

Q: Find f. f(x) = f"(x) = -2 + 18x - 12x², f(0) = 3, f'(0) = 12

A: Integration

Q: (5.3"-2") 6"

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

Q: Convert the point (x, y, z) = (-5, 5, 3) to spherical coordinates. (p, 0,₁6) =

A:

Q: Find Duf at P. 1 f(x, y) = 3(1 + xy) ³/²; P(3,1); u= NOTE: Enter the exact answer. Duf = S i+ j

A:

Q: an 57" n! nal

A:

Q: find the area bounded by the two curves y = cosx and y = Sin2x

A: We need to find area between two curves.

Q: 7. The integral in this exercise converges. Evaluate the integral without using tables. 12tan ¹w…

A:

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given…

A: Graph

Q: Use the Leading Coefficient test to determine the right and left end behavior of the following…

A: