Find the derivative u sing the quotient rule. 2x² (3x-3) Y = dy 6x-12 dx (3x-3)² dy dx = dy 6x² 12x² dx = 12x²-12x 3x-3 dy = dx 6x²-12x (3x-3)²

Q: Determine if the following piecewise-defined function is differentiable at the origin. The function…

A: To solve the following problem and find whether differentiable

Q: the graph of polar function r = 2+3 cos 0 on a polar plane.

A: We have to draw the graph of the given polar function in the polar plane.

Q: 11. A clothing company sells two types of shoes A and B. The price function for shoe A is (p =…

A: Note as per guidelines we support only 3 subparts of the questions.kindly repost next questions in…

Q: Given an interest rate of 2.5% compounded continuously and starting principal of $10000, determine…

A:

Q: Write the equation of the line described. Through (4, 5) and (-1,-5)

A:

Q: Question 3.4. Determine the following integrals lo 1 1³ +21²-52-6 dr

A:

Q: 7. Find the value of sin (a - B) if tan a 0° a 90°, and 0° <B<90°. , cot B = 12²

A:

Q: The correct choice when transposing Q= w(H-h) for T is T-t

A:

Q: dy implicitly 3x² − y² = 23 - dx Ody dx Ody dx Ody dx Ody dx -9 4 9 2 3x² Y -9x 2y

A:

Q: Find the function's absolute maximum and minimum values and say where they are assumed. 7 f(x)=x…

A:

Q: nd the slope of the graph of the function g(x) = aph at that point. he slope of the graph of the…

A: The equation of the line tangent to the curve g(x) at point (a,b) is given as   (y-b)=m*(x-a)…

Q: Suppose that f(x, y) = eª /y on the domain D = {(x, y) | 0 ≤ y ≤ 2, 0 ≤ x ≤ y³}. D a Then the double…

A:

Q: Evaluate the integrals of the following: (Show clear and clean solutions) T sec2ysin4ydy

A: We need to solve the integration.

Q: Find all points (x, y) on the graph of f(x) = x³ - 5x² +26x + 14 with tangent lines parallel to the…

A:

Q: 70 In x Suppose the demand function for x thousand of a certain item is p = 100+ (a) Find the…

A:

Q: 1. Find dy for the following by implicit differentiation: 302²-8 cot y = y² - 30a

A:

Q: For # 1-3, use a 1. arctann n=1 1+n²

A: series comparision test

Q: 1-4 Find the linearization L(x) of the function at a. 2. f(x) = sinx, a = π/6

A: #2

Q: Find the derivative of the function. √S-6 √5 +2 f(s) =

A: To find the derivative of given function

Q: 1. Imagine the function f(x) bounds four different regions whose areas are indicated below. a A₁ b…

A: Consider the given figure : It is also given that,

Q: If R(t) = e-ti + et j + √2 tk a) Find the velocity and acceleration vectors. b) Find the speed,…

A: Given R→(t)=e-t i→ +et j→ +2 t k→

Q: Find the requested value and identify each of the other values as the periodic rate, the number of…

A: The given question can be solved using the concept of compound interest.

Q: Consider the graph of the function y = f(x) on the closed interval [x₁, x9]. Classify each of the…

A: From the given graph, we have to find the local and absolute extremum.

Q: Find the area bounded by the given curves. y = x² - 7 and y = 8 - 14x² square units

A:

Q: | 2/3 X 1+√x O a. 1|2 O C. dx - -x² + 2z2(x + 1) + C 1 1 x2 + x2-x+1+C 1 e. None of the above. 3 1…

A: Given: I=∫x1+xdx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C And use the common integral.…

Q: Use the given function and the given interval to complete parts a and b. f(x) = 2x³-36x² + 192x on…

A: Maxima and minima

Q: 9. Find the radius of convergence and the interval of convergence: n=0 (-1)" (x-3)" 3" (n+1)

A:

Q: Differentiate y ' 1+ 1 ਕਲਿਜਲ z+Vi+va 1+

A:

Q: Which limit should appear in the late stage of your calculation? Use image as reference

A: We will find the required.

Q: Question 1 - Consider the function f(x) = 4x² + 48x +3 on the interval [ 10, 2]. Evaluate this…

A: Let's find Rolle's theorem is apply or not.  And find c value.

Q: 6. Find the area bounded by the indicated curves y = x³, y = x² + 4, x = -1

A:

Q: Determine the exact value of the following expression. sin(11π / 12) or sin ( 11π *over* 12 )

A:

Q: For # 4-5, determine whether the following series are convergent, or divergent. 4. 2 (-1)" ²/7 n!…

A: Ratio Test for series : Consider the series ∑ an .Suppose that L = limn→∞ an+1an . Then,(i)  If L…

Q: Compute the Jacobian A. I = 5u OB. I = 5u (cos² (5v) - sin² (5v)) O C. I = 0 (x, y) d(u, v) ○ D. I =…

A: A detailed solution is given below.

Q: Find the function's absolute maximum and minimum values and say where they are assumed. f(x)=x 4…

A: We are required to find the absolute maximum and absolute minimum value of the function f(x)=x13 in…

Q: The conical watering pail with height 0.45 m and radius 0.15 m has a grid of holes. Water flows out…

A:

Q: A particular solution of 4y" + 4y' +y = 3xe* 4 a. C. b. - e d. 3 e. 4 e 4 X từ 3 e* + -xex 2 -xex…

A:

Q: Use a graphing utility to find the line of best fit for thefollowing data: (pp. 143–144)x 3 5 5 6 7…

A: Given data, x y 3 10 5 13 5 12 6 15 7 16 8 19

Q: Evaluate the double integral where R = Z 300 200 100 -100- -200 -300- ¹] [zy³ + z²ydA = {(x,y) | 1 ≤…

A:

Q: If R(t) = e-ti + et j + √2 tk a) Find the velocity and acceleration vectors. b) Find the speed,…

A:

Q: The length of a rectange is increasing at a rate of & cm/s and Its width is increasing at arale of 3…

A: Given: The rate of increasing of the length, dLdt= 8 cm/sec The rate of increasing of the width,…

Q: 6. Specify the type of the differential equation y'= 1+ (y/a)+ (y/a)2 and find the general solution.…

A: Let's solve given diffential equation.

Q: 7. Find the direction angle a a) -2i+5j

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 9. f(x,y) Use the D-test to find all relative extreme values for the function: 2x² + 3y² + 2xy + 4x…

A:

Q: continuous at x = 0? Give reasons for the he answer box within your choice. tinuous at x = 0 because…

A: We have to choose the correct option from the given options according to the given information

Q: .4 7 [T 4 Find (x + y) dydx.

A:

Q: Find the indefinite integral. [Hint: Use some algebra first.) (Use C for the constant of…

A:

Q: Graph f(x) = (x − 1)² + 16 - - and The secant line through (0, f(0)) and (5,0) Then graph the…

A:

Q: n+ 5 n² + 10n + 5 Compare with fo 2 dn = (Evaluate your integral with bottom limit c = 1.) This sum…

A:

Q: Find the form of yp to use in the method of undetermined coefficients y" - 2y+3y=e³x + xex a. Ae³x…

A: