C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6) 2.) y = x² + x +1 3.) у %3 Зx? — х +1 at (-2,3) at (1,3) 4.) y = x² – 3x + 3 at (3,3)

Q: y(4y++ 12y²+9) *dy A (2y²+3)² 3 B (2y²+ 3) 3 ©(2y²+3) D 4y4+ 12y²+9 E None

A: We have to find integral

Q: Vx m = (b) Find equations of the tangent line at the point (1, 5). y = Find equations of the tangent...

A: Topic:- application of derivatives

Q: Use the Intermediate Value Theorem to show that there is a root of the equation in the given interva...

A:

Q: Evaluate S dx by letting u = x – 1. The given integral can be transformed to S h(u)du. If we evaluat...

A:

Q: Convert 7383 to a numeral in base 4. 7383 = D %3D 14

A: Topic:- algebra

Q: 1. Refer to the hexagon pattern below. Assume that each edge of the hexagon measures 1 cm. Assume th...

A:

Q: Find the slope of the graph of the function f(x) = V3x at (3,3). Then find an equation of the line t...

A:

Q: Save your solution for this problem to answer the other problem connected to this. Consider the curv...

A:

Q: In this calculus problem, verify that f has an inverse function. Then use the function f and the the...

A:

Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

A:

Q: given f (z) = (z + 1)° – 32' what is the value of u (금, )

A: Topic:- complex number

Q: Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = 2x2 + x; a = -8 ...

A:

Q: Which of the following is/are signified by lim f(x) = 0? | The value of x goes out to infinity, when...

A: To find what it signifies

Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

A:

Q: If {xn} is a bounded sequence on R. Prove: lim n→+∞

A: Given  sequence xn is bounded  we want  to show that  limn→∞xnn=0

Q: Consider the following. y = tx2 + t8x Find dy dx dy dx dy Find dt dy dt

A:

Q: Evaluate f dx letting u = x – 1. The given integral can be transformed to S h(u)du. What is the valu...

A: evaluate ∫xx-1dx letting u=x-1.The given integral can be transformed to ∫h(u) du what is the value o...

Q: The cube root of 27 is 3. How much larger is the cube root of 27.8? Estimate using the Linear Approx...

A:

Q: cos (a + 8) y= dy Find da dy Immum dx Type sin(x) for sin(x), cos(x) for cos(r), and so on. Use x^2 ...

A:

Q: 11) sin-! 2

A:

Q: 1 g(x) = (3x3 + 5x + 4)3/4 g'(x) = Need Help? Read It

A:

Q: y = tx2 + tx dy Find dx dy dx + 2tx * dy Find dt dy dt II

A: Given that y=tx2+t4x We have to find dydx  and dydt dydx is the derivative of y with respect to x dy...

Q: For the function 0 < x < 4 = 4 2x – 4, -2, f(x) = x2 – 8x + 20, 4< x use algebra to find each of the...

A:

Q: lim f(1) = 1, lim f(z) = – 00, I -2 f(- 2) = 1

A: Please see the below picture for detailed solution. 

Q: Pn 1995 Hhe moose papulalion n MeaSured to be 1900.TTBa, 1994, Hbe Was, eaSuned agaio to be Uu400.1f...

A: Given query is to find the formula for the function P.

Q: 28. Show that D = 0 for f(x, y) =x + (x- y) and that the function has no relative extrema.

A: Given: fx,y=x3+x-y2 To calculate the critical points, ∂f∂x=0 ; ∂f∂y=0

Q: Use logarithmic differentiation to find dy/dx. = x* - 2 x > 0 dy %3D dx

A:

Q: n the coffee house will not make a profit. Determine what the coffee house needs to charge in order ...

A: As per our guideline we are supposed to be answer only first three subpart of questions you can repo...

Q: -5 S(x) -5 -5 List any x-values at which f is not continuous. Enter your answer as a com smallest to...

A:

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1 qu...

Q: 7 Consider the function f(x) 10 Let F(x) be the antiderivative of f(æ) with F(1) = 0. Then F(x) =

A:

Q: Divide the numerator and the denominator by the highest power of x in the denominator and proceed fr...

A: Firstly , we can divide denominator and numerator by the highest power of 'x' and then find limit.

Q: If f(x) = sin c, find f'(a) Find f'(4)

A:

Q: The function f(x, y) = sin(/3x² + 3y²) corresponds to plot [ Select ]

A: Find your answer below 

Q: 15) tan-l –1 --1 V2 17) cos 2 1 19) tan- 1

A: Given: 16)  tan-1-1

Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: Which of the following limit laws is NOT applied? lim (z + 7x - 5) = 3 %3D | O Limit of a Constant O...

A: A function f:R→R is defined as f(x) =C for all x is called constant function. A function f:R →R is d...

Q: sin2t costdt (A sin2t cost C sin?t D sint E cos?t F None

A: We have to find the integral

Q: find the point (x,y) at which the graph of y=7x2+5x-6 has a horizontal tangent line.  The function ...

A:

Q: Which among the following illustrates the limit of an identity function? O lim z = 2 I+2 O lim z = 2...

A:

Q: Prove that lim x² cos(1/x²) = 0. x→0

A:

Q: Trigonometric Values for Special Angles sin e cos 6 tan 8 csce sec0 cot 8 Degrees Radians 30 45 60 9...

A: We have to find the trigonometric function for special anlge.

Q: 49. Let x = 0.99999 . . . . (a) Do you think that x< 1 or x= 1? (b) Sum a geometric series to find t...

A: Let's find. 

Q: Evaluate the following indefinite integral | 8 sin(x) – 2 cos(x) dx =

A: We have to find integral

Q: at x = 1 and f(1) = 4 at x = 2 andf(2) = 3 10. There is a jump discontinuity 9. There is an infinite...

A:

Q: Find the formula for the figure below:

A: Given that: Graph of a function.

Q: 4 If f(x) sin z, find f' (x). Find f'(4).

A: Topic:- derivatives

Q: A car travels down a highway at 25 m/s. An observer stands 200 m from the highway. (a) How fast is t...

A:

Q: За3 — 4а +2 7а3+5 lim

A: To evaluate:limx→∞ 3x3-4x+27x3+5

Q: Consider the function f(x) = Complete the table below and sketch its graph. x 2 |-1 |-0.5 -0.1 F(x) ...

A: Given Data: fx=x+1x2+x