Use the limit definition of the derivative to find the derivative of the function f(x) = 2x² - 4x + 15

Q: Find a. b. C. d. e. f. g. lim x-3 lim x0 lim x → 0+ lim x10 lim x2 f(x) h. f(2) f (x) f (x) f (x)…

A: We need to evaluate the following limit for the given graph of the function a. limx→-3fxb.…

Q: Comet Mario-2009 moves along an ellipse with equation 42² +16y²-640 (shown below) -10-04 47 Lo foot…

A:

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

A:

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 1. y…

A: Recall: The slope of tangent line to the curve y is, mT=y'x0,y0 The equation of the normal line is,…

Q: LET 9 (3)=4₁ g (3)=-1 FIND H (3) For H(X) = xg(x) 5x-6 FUNCTION

A: solution is given below..

Q: Question 6 Given: y = (16+¹) Z -61² (16+74) 3 √16+t¹ 23 (16+) O (E) None of the choices -21² (16+¹)…

A: Solve for the dy/dt

Q: Below are the graphs of 6 functions A-F. There are also graphs of 5 derivative functions 1-5. Match…

A:

Q: Suppose that y is a differentiable function of x and z = cos (x5,8). Express in terms of x, y, and…

A:

Q: Evaluate the following integrals 16 ³√/1+√√/x dx √x a) 16 b) S dx x+Vxn-m where m and n are natural…

A:

Q: using the definition of Laplace, solve the ff: 1. L [cos at] 2. L [cosh at]

A: We have to use the definition of Laplace transform to solve  (1) L{cos(at)}

Q: Find the derivative of the following functions. Whenever possible, 6. y = √3x - √x

A: Understanding of derivative of any function is required in order to solve this question. For…

Q: 6. y = 3x - st

A: Given :y=3x-15x3

Q: Given functions f and g for which f(- 6) = 1, ƒ'( – 6) = 1, g( – 6) = 6, and g'(- 6) = 2. Evaluate…

A:

Q: In x 4. lim = 1 x2x-1 x f(x) 0.9 0.99 0.999 1.001 1.01 1.1

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find all values of 8 >0 such that |-2|< 6 ⇒4r-8 <3 Your answer should be in interval notation. Make…

A:

Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: let   p=amount of bacteria present   thendpdt=growth rate

Q: 2. Find the following limits without using a graphing calculator or tables. x-5 a)lim x-5 2x²-9x-5 -…

A:

Q: 1. Given the algebraic function x² - xy + y² = 3 b. Find y 3xy - 3y (2y + x)² Option 1 3xy + 3y (2y…

A:

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 2. y x²-4…

A:

Q: Find the linear approximation of f(x)=√x when x = -27.

A: Linear approximation is an approximation of a general function using a linear function. It is useful…

Q: lim 1 t-> +→> -∞0 17 + cot = ² +

A: note that cot^-1(- infinty)=0

Q: Find the following derivatives. Express your answer in terms of the independent var 3x-3z 2y +3z Ws…

A:

Q: 2. Find dx/dy if y = √√1+√x 1 -4√√1+√x Option 3 1 4√√√1+√ Option 1 4√x√√1+√x Option 4 -4√√√1+√x…

A: Solve for the dx/dy

Q: Laplace Transform Determine if the following functions are of exponential order (show complete…

A: 1) t3 sin(2t) 2) 1000 e2020t.

Q: Black pink held a concert in moa arena. the vip ticket sold 15$. Lower box ticket were sold for 10$.…

A: NOTE: Refresh your page if you can't see any equations. . x=number of VIP tickets (each sold for…

Q: 44. Suppose that f(4) = 2, g(4) = 5, f'(4) = 6, and g'(4) = -3. Find h'(4). (a) h(x) = 3f(x) + 8g(x)…

A: Simply use differential formula and we can easily solve it Please see the solution Thanks

Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 8-x, x 6.

A:

Q: It takes Fena Tailoring 2 hr of cutting and 4 hr of sewing to make a tiered silk organza bridal…

A:

Q: Given limx→4f(x)=4limx→4f(x)=4 and limx→4g(x)=4limx→4g(x)=4, Evaluate :  limx→4f(x)+g(x)8f(x). The…

A: See this solution in below.

Q: Suppose f(x) and f'(x) have the following values. -1 0 12 8 -5 10-2 8 -6 -5 7 f(x) f'(x) -2 0 -3 Let…

A: The given table is:

Q: 10. The national debt of a South American country t years from now is predicted to be D(t): 65 +9t3…

A: Topic- Application of derivatives We are given, Predicted nationl debt of a South American country t…

Q: 8. Sketch a possible graph of a function g, together with vertical asymptotes, satisfying all the…

A:

Q: 2. Find the Inverse Laplace Transform of the following: b. L-¹{2+15+13)

A:

Q: TT Evaluate the integral: (2costi+ sint j + 2tk)dt

A:

Q: 4. Find the exact value (in exact form) of sin

A: cos(2x) = 1-2sin2(x)

Q: Given the demand equation p + (x/5) = 40, where p represents the price in dollars and x the number…

A:

Q: c) G(w) = √ W 1+3w

A: (c) The given function is: G(w)=w1+3w The quotient rule of the derivative says:…

Q: Find the equation of the normal line to the curves at the point of tangency, if given. 1.…

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 50. y=- 52. y=- 2-3x 5…

A:

Q: Use the graphs of f and g to answer the following about h(x) = f(2g(x) + 1) -2 -1 y 6 5 4 3 2 1 -2 1…

A: Given hx=f2gx+1

Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (5, 18).…

A:

Q: The graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at (3, 14).…

A: givenarea of region 1 is=26

Q: C(x) = 6x³ 30x² + 80x + 1600 where x denotes the number of thousands of televisions produced in a…

A: Given query is to find average cost and marginal average cost.

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

A:

Q: Consider the function f(x)=√x near x = 8. Find the linear approximation error when using the linear…

A: Given data:- The given equation, y=3x near x=8

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT PLEASE Derive the following functions 38. y=(x²-2x+5)(x²+2x+5)…

A:

Q: Differentiate. Don't simplify. 17. f(x) = sin 3x 18. g(x) = (sin 3x)³ 19. h(x) = (sin 3x)³ + 5x…

A:

Q: Find the LT of each of the following and use inverse LT to bring back the original function. a. y=ex…

A:

Q: Prove that square root 3 is not a rational number.

A:

Q: Vlake an ORIGINAL EXA A) GIVEN B) SOLUTION C) ANSWER D) WITH EXPLANATION Variable Separable WILL…

A: If we can write a differential equation of the form f(x)dx=g(y)dy then its called variable separable…