2) Consider the equation x² + y² = 100. Suppose that x and y are both functions of time t. Find given that 5. One of the following is the correct answer. -5y (a) (b) (c) (d) (e) 10 11 da dt da dt = dt = 5y = 2x - 10y = 10y - 2x is none of the above is (a) then tyne a. If the correct answer is (b), then type b. Et cetera.

Q: 2. The figure below shows the graphs of three functions f, g and h. For two out of these three…

A: Given graph of three functions f, g and h.

Q: What is the phase shift of the following function? f (x) = 2 sin (3x + 6) - 1 -1 3 O O 2 -2 -6

A:

Q: 1. f(x) = e3x B. Find the derivative of the following using chain rule 1. f(x) = (x3-6x + 1)9 %3D 2…

A: i solved part second as per student

Q: -1 g(t)dt = 17 and g(t)dt = -2, find g(t)dt . %3D -3 о -15 O 11 -19 O -13 O -11 О 15 O 13 O 19

A:

Q: Given h(x) = (-x² – 2x – 2), find h' (0)-

A:

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: Set f(x) Question 1 Solve the equation f'(x) = = 0. If there are more than one solution, separate…

A: Explanation of the answer is as follows

Q: Question The function f(x) = 3-13 + x| is graphed below. Use geometric formulas to evaluate the…

A:

Q: f(x) = 2x2 - 3x + 4, Find the equation of the line which tangent to this function at x = 1 O a. y =…

A: We have to find the equation of the tangent to the given function at given point. We know that slope…

Q: 54. f(x) = 3 – 2x² +x³, [a, b] = [-1,1] %3D

A: Given. 54) f(x)=3-2x2+x3,[a,b]=[-1,1]

Q: D Question 10 Find the derivative. y = Š O 02 √8x+9 dt √√8x+9 (8x +9)3/2 +9 O√√√x+9+√9

A: Given query is to find the derivative.

Q: If the point A (4,3) and B(x,5) are on the circle with centre O (2,3). Find the Value of x

A:

Q: 4. An electric current can be represented by the function y = 2 cos (27(x -0.02)), with time in a…

A:

Q: Question 6. ) Set f(x) = 2x2 – 3x + 2 and g(x) = x - 3. %3D a. Rewrite (f o g)(x) as ax2 + bx + c,…

A: →For f∘gx, replace x by g(x) in f(x).→For g∘fx, replace x by f(x) in g(x).

Q: | (1 + x²) e³* dx

A: To evaluate: ∫(1+x2)e3xdx To evaluate the integral we use integration by parts.

Q: If g(x) = x- – 1 and h(x) = 2x, find 28(-1) – 3h(2). %3D

A:

Q: dy What is if the function y = f(x) is implicitly defined by the equation 5x + 3y² = 4y + 2x² - 5?…

A: For implicit differentiation , both sides of the equation are differentiated simultaneously.

Q: III. Find the indicated derivative of each function a) 4+4r- b) w=- 4z +1 3u¹ + 2 u(+2) 1 x²-x+1 c)…

A:

Q: Let g(x) = re) dt, where f is the function whose graph is shown. y f 2 12 2.

A: Consider the given equation:

Q: roblem 4. Let t 3 3 17 t 20 17 4 A = 1 1 1 8 1 2 where t is a variable. Explain why det A = at? + bt…

A: The determinant associated with a matrix is just a scalar. A matrix must be square to have a…

Q: 9. given f(-2) = 5, f'(-2) = -3, g'(-2) = 6, f g)'(-2) = 15. Find g(-2) %3D

A:

Q: Question 10 of 11 A car travels along the highway to Yuma at a steady speed. When it begins, it is…

A: When x= 0 , y= 400  When x= 7 , y= 50

Q: 1. Find the derivative of the function y = (x² – 1) (2x² – 3). | 2. Differentiate g (x) = x+1l x+2 °…

A: