Given x = y² + y + 1 from 0 ≤ y ≤ 2

Q: The gradient vector of the function f(x, y, z)= ln(yz) - x² is: 2 Select one: 0 (-2x,1,1) O None of…

A:

Q: D) 5

A:

Q: 8. Convert the angle 315° into radians.

A:

Q: (a) Find the critical numbers of the function f(x) = x(x - 1)5. X = (smallest value) X = X = (b)…

A: NOTE: Refresh your page if you can't see any equations. . take derivative factor out

Q: Let →r(t)=⟨2t−3,5e^−2t,−2e^2t⟩ Find the line (L) tangent to →r(t)r→(t) t=-3.

A:

Q: 2. Two separate rabbit populations are observed for 80 weeks, starting at the same time and with the…

A:

Q: please solve d-f now. thanks.

A: We have to find the composition of functions.

Q: Consider the following. 7|x - 21 x-2 Find the x-value (if any) at which f is not continuous. Is the…

A:

Q: 6. g(u) 5 4 3 ANA -4 Based on the graph above, find the following: Amplitude: Period: Midline:…

A: Please see the below picture for detailed solution.

Q: Consider the function f(x) = 2x³ + 6x² - 90x+5, -5 ≤ x ≤ 4. This function has an absolute minimum…

A:

Q: Find the second derivative of F(t) = (1 − 2t²)i + (tcost)j – tk. O-1-(2sin(t) + tcos(t)) - (2sin(t)…

A:

Q: dx Assume that x = x(t) and y = y(t). Let y = x³ +5 and dt Find dy dt dt when x = 3. (Simplify your…

A:

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

A:

Q: If the region under the graph of +++/-/1 -- y = x² + from x = 1 to x = 5 is rotated about the…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  and the given…

Q: State the exact value of cos π 6

A: We have to state the exact value of  cos π6.

Q: (a) an = 5+7n² n+ 3n²

A:

Q: Determine the equation for tangent and normal at the point with x -coordinate 2 on the curve y = ex…

A:

Q: Question 10 Determine the area bounded by the curves y = ex, y=x²-1, x=-1, and x = 1.

A:

Q: Consider the following. u = (-7, 3, −2), v = (0, −4, −3) (a) Find the projection of u onto v. 42 25…

A:

Q: Determine the value of k for which the direction vectors of the lines x+3 Z = y = -1 are…

A:

Q: Find Select the correct answer below: 33 0 d = - = where y is defined as a function of x implicitly…

A: The objective of the question is determine dy/dx.

Q: Solve the initial-value problem 1 3.y"-3y-2y=0; x = 0, y=0, y =9,y' =0

A:

Q: Find the limit (If It exists). (If an answer does not exist, enter DNE.) (x² - 4x +18, -x² + 4x -…

A: Put the condition for existence of a limit and cross check.

Q: Evaluate the integral with the aid of an appropriate u-substitution. Simplify the answer, if…

A:

Q: 3. An amusement park charges $8 admission price (P) and averages 2000 tickets (T) sold per day. A…

A:

Q: Find a vector-valued function whose graph is the indicated surface. The plane x + y + z = 2 r(u, v)…

A: Given plane    x+y+z = 2                 this gives   z = 2-x-y            Now, let  x=u    and…

Q: Reversing the order of integration in the integral SS²ydydx equals: Select one: A. None of them B.…

A: Since you are asking multiple questions. We are answering only the very first question as per ous…

Q: ∞<a=(a'l Find the local max & min using First and second Derivative 3 f(x) = 9+3x2 - 2x² 7 sou?

A:

Q: 2. Which definite integral approximation formula is f(x) dx = Left rectangles Right rectangles…

A: The given formula is;  Integration of f(x) , limit from a to b = (b-a) /n [y0+y1+y2+y3+...+yn-1].

Q: If the average value of the function f(x) on [0, 3] is equal to 3 1 3/² 0 what is Select one: 0 6 O…

A:

Q: Find f'(x) when f(x) O O O f'(x) = O O f'(x) = f'(x) = f'(x) = f'(x) = GREEN (x² + 3) cotx 6-…

A:

Q: The total sales of S (in thousands of DVD's) of a certain movie are given by the following formula…

A:

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. 12e 1 + ²x |…

A:

Q: Give an example of a derivable function f (x) with f ′ (- 4) = -3

A:

Q: Suppose the function y=h(x) is nonnegative and continuous on [x3], which implies that the area…

A: We want to find area bound by the astroid

Q: Solve 6 sin X = π X = 2 for the four smallest positive solutions

A:

Q: Evaluate the integral. NOTE: Enter the exact answer. 1 X for fo (ory + 173 dy d 1)² dy dx =

A:

Q: Find f'(x). f(x) = (3x + 10)7 (1 − √) 3(3x + 10) (1 − √x)³ f'(x) = 21(3x + 10)6 (1-√) f'(x) = 7(3x +…

A: Given data÷ fx=3x+1071-x6 Find the first derivative f'x. Useful formula ddxxn=nxn-1…

Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q Ay 25- 20- 15- 10- 5A…

A: given,

Q: The volume of the solid generated by revolving the region bounded by x² = 4y and y² = 4x about y = 4…

A:

Q: The maximum rate of change of the function 1 ----> at the point (1,-2) happens in direction of and…

A:

Q: 5. There is an old question that is often used to introduce the power of geometric growth. Here is…

A: We will evaluate both the options 1 and 2.

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 6x²-3x -…

A:

Q: 4. fxcosxsinxdx by parts

A:

Q: Find the constants a and b such that the function is continuous on the entire real line. x≤ -3 7,…

A:

Q: Determine whether or not the vector field is conservative F(x,y) = 18x²y²i + 12x³yj conservative O…

A: NOTE: Refresh your page if you can't see any equations. . compare this vector field with  so here…

Q: Consider the following. X+6 x²-x-42 Find the x-value (if any) at which is not continuous. Is the…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of t…

A: Please see the below picture for detailed solution.

Q: A ball is thrown into the air and its position is given by h(t) = -5.3t² +22t+21 where h is the…

A: Note to student :   Thanks for posting your queries. But there are multiple questions given. As per…

Q: A company that produces cell phones has a cost function of C = 3x² - 46x + 15097, where C' is the…

A: