he definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(4) when the derivative exists. (x) using the definition of the derivative. "(-3) if the derivative exists. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. r(-3)= (Simplify your answer.) The derivative does not exist.

Q: For what value of a, we have 0= . You may explain your answer below if you like (optional). (z) < 4

A:

Q: lim f(z) = #t * NE

A:

Q: Use the left-endpoint approximation to approximate the area under the curve of f(x) = +1 on the…

A: This question can be solved using the concept of approximation of area under curve using left…

Q: 9. Alabama Instruments Company has set up a production line to manufacture a new calculator. The…

A:

Q: (B) Simplify the following expression sin (2 tan" x), then find the value of the following into sin…

A: 2tan-1x =sin-12x1+x2 .

Q: a. On a rectangular cartesian coordinate system, sketch the parallelepiped having the vertices (1,…

A:

Q: Given the vector function r(t) = (+1, 1-2t², 8t-4), find the are length of this curve on the…

A:

Q: 5) ( cos 'x dx -1 Where: u = cos(x) dv = dx

A:

Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal…

A: Given problem:-

Q: Curve Sketching y = x3 - 4x2 - 8x - 5 Show your work to determine: the y-intercept and any…

A:

Q: In an autocatalytic chemical reaction, the product form is a catalyst for the reaction. If Qo is the…

A: SOLUTION-

Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

A: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

Q: 16. Let lim f(x) = -7, then what is lim (-9. f(x))? X-C A. - 16 C. 16 D. 63 B.-5

A: limit

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) b) has…

A: vector equation of line

Q: Which of the following refers to backward - difference formula? Why? You can give your own example…

A: We need to compare with general formula of backward difference.

Q: The gradient of the tangent to the curve y=-3x³ + 4ax² - 5x + 4 at x = 1 is 2. The value of a is 2.…

A:

Q: Determine the center-radius Form of the equation of the sphere whose diameter has endpoints at (2,…

A: The first question has been solved as per the request of the student.     The center radius form of…

Q: _42. Evaluate: √(√√x - 2)dx 3 A. ++ C x 3 B. - + C x C. 3 +=+ C 2 D. -*²_³+C 2 x 12 Evaluato: ((2x…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the equation of the tangent line to the graph of the function f (x) = sin (7√) at the point…

A: Here we have to find the equation of the tangent line of the function…

Q: WAN 1 2 3 4 The graphs of 4 functions are shown above, and the graphs of the derivatives of those…

A:

Q: The height s (feet) of a ball hit into the air is given by s(t) = -16f² +50t + 5, where t is the…

A:

Q: need the answer quickl

A:

Q: Question Find the area of the region that is bounded above by the curve f(x) = (x + 8)2 and the line…

A: This question can be solved using the concepts of area bounded by curves.

Q: 2. z = x + 2 У Х x

A: Solution

Q: Ex: If f(3) = 0, show that əz дz x- x² + y = Z. (H.W.) əx Əy

A: We have to prove the given statement.

Q: (ii) tank (In x) = x²-1 x² +1

A:

Q: y = (x² + 2)(x-3)

A: The objective is to find the derivative.

Q: 2x+1 (b) g(x) = f(x)

A: We want to find the differential of g(x)

Q: Finding the Determinants Using Combined Methods (row operations and cofactor method) -2 -4 A = 1 4 8…

A:

Q: Solve each of the following equations, showing all work. a = log₂z (4x²) -4 = log t

A:

Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…

A:

Q: 1. u= x² + y² + z²

A: On solving this we will get

Q: For what value of the constant c is the function f continuous on (-∞, +∞)? cz +4 if x ≤ 10 f(x) =…

A:

Q: Where is f(x)= -5 -6z+5 discontinuous?

A:

Q: ector equation of the line that...... gh (3,9) and (-7,1) b) is perpendicular to the line 5x-3y-8= 0…

A: We will solve the problem

Q: In the quadratic equation Ax²+BX+C =0 The roots are real and distinct. The roots are complex…

A: The given quadratic equation is Ax2+Bx+C=0

Q: Differentiate the function: y = e-x cos²x x²+x+1

A: To differentiate the function.

Q: Find the equations of tangent and normal lines of the curves at given points: y²-3xy - x = 0 at(2,8)

A:

Q: ¯(x) = 6x - 4x x² +1 n [-3,0] on

A: Average

Q: Find the tangent plane (Xo, Yo, Zo) from f (x, y) = x² - 3y²; (0,1, -3)

A:

Q: Solve using Euler's Method dy dx sin(x+y) ex,y (0)-4, h-0.1 -

A:

Q: 0 %16 0 رجوع > ۸:۲۹ م 4 من 4 sin x 6. f(x) = x2 + sin x ه الكاميرا ...| - = Find-f'(x)

A:

Q: Consider the function f(x) = x² - 9x + 20 x - 3 a. Find the first derivative. f'(x) = b. List any…

A: We have to find the derivative and monotone intervals.   According to our guidelines we can solve…

Q: Calculate the average rate of change for the function f(x) over the interval-1≤x≤3

A: Topic = Algebra

Q: NIM Let line l: x = = and point P(1,0,1). 2 Find the parametric equations of the line parallel to…

A:

Q: Given that f xdx = 1/2 and f²dx = compute the integral [*(1-x)²dx.

A:

Q: Find the derivative of f (w) = 7ln (w) + 18.

A:

Q: S N

A: Use ratio test for checking the radius of convergence

Q: x-4 x²+2x-15 Inx+51-Inx-31+ C 8 Option 1 S: dx 1 (x + 5)⁹1 Je In + C + x-3 -100 1 9 In|x + 5|ln|x −…

A: We can find the answer as below

Q: Compute 4 sin(TTX) d dx A. 4 sin(TTX) B. 4sin(TTX) In4 C. 4sin(x) (πIn4).cos(TTX) D. 4 sin(TTX)…

A: