Find the derivative of the following functions. Whenever possible, express answer in factored form. O 2-3x-2x² x+3 9. y=2

Q: The point P(3, 20) lies on the curve y = x² + x + 8. If Q is the point (x, x² + x + 8), find the…

A: Given P(3,20)y=x2+x+8Q(x,x2+x+8)

Q: The graph of f is given. 0 1 X (a) What are the domain and range of f-¹? (domain) (range) (b) What…

A: Here, note that the domain of the given function f(x) is [-3,3] which are the x values for which the…

Q: A defense contractor is starting production on a new missile control system. On the basis of data…

A:

Q: 9. For each set of equations (part a and b), determine the intersection (if any, a point or a line)…

A: I am attaching image so that you understand each and every step.

Q: Given two differentiable functions fand g, the derivative of the function f(x) - g(x) can be…

A: Given:- f and g are two differentiable functions

Q: An aquarium 7 m long, 5 m wide, and 3 m deep is full of water The hydrostatic pressure on the bottom…

A:

Q: Find the area under the given curve over the indicated interval. y=x²; [1,3]

A:

Q: Consider the function f(x) = sinx near x = πt. Find the linear approximation error when using the…

A: Given data:- The given function, f(x)=Sinx     x=π

Q: Let f(x) = {ax² (2x + b differentiable (a) 1 at x = 1. x ≤ 1 x>1 (b)-1 . Find a so that f is (c) 2…

A: Here is the solution:

Q: Question 9 Find the limit: lim, 7 O(E) O21 9 07 O 3

A:

Q: Find the derivative of the function. h(t) = (t²-1) (t³ + 1)6 h'(t) =

A:

Q: Degree 4; zeros: 5-2 i: -3 multiplicity 2 a represent the leading coefficient. The polynomial is…

A: Given query is to find the polynomial.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A:

Q: The price, in dollars per units, that consumers are willing to pay for a popular high-end digital…

A: The objective of the question is determine the value of price , units and fill the boxes.

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A: The given integral is 9ln(x2-x+4).

Q: (5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U…

A: We need to find out the integration by using trigonometric substitution.

Q: Find the area of a triangle with the given measurements. Round to 1 decimal place. B=99.1°, a= 10.3…

A:

Q: Solve the DE (2xy+y)dx+(x^2-x)dy=0 hint: Variable Separable a.y=cx(x+1)^-3 b.y=cx(x+1)^-3…

A:

Q: If the demand function for math self-help videos is given by 65 0.8x, and the total cost function to…

A:

Q: Which of the numbers 1, 2, 3, 4, 5, and 6 are critical numbers of the function graphed below?…

A: Given,

Q: If f(1) = 8, write an ordered pair that must be on the graph of y = f(x - 11) - 7.

A:

Q: A right circular cone with radius r and slant height I has surface area given by A = r² + nrl. When…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given function, y=x2-1x

Q: 3. xlny + ylnx = 1 a. y y || x Y + Y x² lnx-y y² ln y - x b. x # ( xlny+y y ylnx+x y = y ln x - x ln…

A: We need to find y'.

Q: Solve AABC subject to the given conditions. Give an expression for the exact value of each side in…

A: We can find the required values in the below steps.

Q: modeled by the following function. f(t)= 40t +100 220 -80t+860 60 a. 7 am if 0≤t≤3 if 3<t≤8 if…

A: Topic:- function

Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 9xy³. fxx (x, y) fxy (x, y)…

A:

Q: Let y = 5 -5 V1 = -2 2 -5 8 6 Compute the distance d from y to the subspace of R¹ spanned by v₁ and…

A:

Q: f(−3)=3, f'(-3)=3, g(−3)=3, g'(-3)=2, calculate the following: (fg)′(−3)= (f/g)′(−3)=…

A: we have to calculate the following: (fg)′(−3)=(f/g)′(−3)=(g/f)′(−3)=

Q: Find the area of the region enclosed by the rose r = 14 cos 38.

A: Given, r=14 cos 3θ

Q: Find and for the following function. дх ду 3 f(x,y) = x³ - 5xy - 9y²

A: Given function:- fx,y=x3-5xy-9y2

Q: π π €). Calculate E 2 d dxsin (x) (x) eta

A: Topic:- application of integration

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A:

Q: Find the derivative of the function. 3 5)³ - (₁ y = 8x²-5 4-X

A: y = (8x2 -5/4-x)3  we have to find dy/dx here we use chain rule and make differentiation d(u/v)dx =…

Q: Given the functions and below, find (k(2)). Select the correct answer below OJ(k(2))--113…

A:

Q: Find the first partial derivatives of the function u(r, t) = 3 sin(r cost)). 1. u, (r, t) = [ 2.…

A: Topic- Partial derivative We are given, u(r,t)=3sin(rcost) in evaluationg ur(r,t), we will assume r…

Q: Page < 1. The following is the graph of f. Find the following limits. State if the limit does not…

A:

Q: Let f(x) be a continuous even function, and g(x) be a continuous odd function. Suppose that:…

A:

Q: 6. y = 3x - st

A: Given :y=3x-15x3

Q: How would you solve this if you didnt have the coordinates of A and B and only given a function

A: If here not given the point and given the function only then

Q: Given: f(x) = 2x² O 0 (E) 2 1 3x + 1 and g(x)=√x+6. Find the limit: lim, 4 g (f (x)]

A: Given: fx=2x2-3x+1 and gx=x+63   To calculate the limit: limx→4gfx.

Q: Find 원 when ax + cos(by) = c, where a, b and c are constants. b (a) —-cscy (c)csc(by) b (b) -…

A:

Q: 3) Express each of the following using absolute value notation a)-7≤x≤7 b) - 4) Evaluate -12-√11-15…

A:

Q: To find lim 1 + 12n² divide the numerator and denominator by the highest power of n that occurs in…

A:

Q: How does the x^4 and the 3x^3 become to 4x^3 + 9x^2. I understand how you got 4x^3 but not the 9x^2.…

A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

Q: Find the Laplace inverse of the following: 2 s 3 s²-8 215248 1) 3) 2 s (s+3)²+6

A:

Q: Evaluate the integrals 1,2,dx 1.

A: Dear student,as per policy we are allow to solve one doubt at a time.please repost other doubt

Q: How can you find the slope of a line which passes through two points with only the given…

A:

Q: 11. Copy each equation. Replace each a.) 6 - _ = -10 e.) -3 = -10 - b.)-4-- = -5 f.) _ - (-7) = -4…

A: According to our guidelines, In case of question with multiple subparts we are supposed to answer…

Q: y=3e^x + 4/∛x *differentiate the function.

A: Topic:- derivatives