the local extrema Global extrema of ft)= 2t what ae what is limt+ →0o f(t)?

Q: Equation is f(x)=3x-x^2

A: First we find out the slope of tangent line at x=2 and then the equation of the tangent line is…

Q: The total number P of prey taken by a predator depends on the availability of prey. C. S. Holling…

A: here we have just  need of calculation.  See below the calculation and answers

Q: Where is f(x)= x³ differentiable? (interval)

A: A function is given by, fx = x23. The objective is to find the intervals where the function is…

Q: 4. If f(x)=3x² - 2 a) Find the average rate of change on [x, x+h]. b) If x=4 and h = 12, what is the…

A: The average rate of change of the function f(x) over the interval [m,n] can be found as…

Q: sin y Evaluate, lim (x.y)(3,0) y

A: To find  Substituting the limits in the given function we get, Which is an indeterminate form.

Q: arctan y Let f(x;y) = Determine f. and f,. 2+x?

A: For partial differentiation with respect x we have to assume y as a constant and for y, x is…

Q: where W is in kg and t is in years. a. Differentiate this weight function. 2 W'(t) -0.19 (1 =…

A:

Q: Isint t this equal to-. f(t) will noy+"|72 7 74155 = (+) JT W 17 750)

A:

Q: Dicuss the contiunity of the function f (x,y) = ln  (x+y-1)

A: We know: 1) Polynomials are continuous everywhere. That is, at every point in real number 2) Sum of…

Q: ax if x >1 If f(x) = then the bx + 2 if a <1 values of a and b such that f is differentiable on…

A: option (C)  is correct. see below the calculation

Q: Find the equation of the tangent to the Graph. f(x)=2x² at x = 3 Step-1 Find the slope of the…

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Q: How can you use the slopes of tangents to determine whether a function is increasing, decreasing, at…

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Q: The stock price is performing well however it is quite volatile. The stock price over the next year…

A: Proceed as shown below...

Q: 3x The equation of the line tangent to f(x) 1 at x = – 2 is x + 3 y = 10x +

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Q: 10 lim ]- Vx 「 メ→」 ーメ

A:

Q: e'sin" ) *sin sech (x-2) * sech (x-2) F (x) = Explain why g(z) - 0, is not differentialble at a2. if…

A: Here, fx=exsin3πxx2sechx-23

Q: 12. Consider the function f (x) = sin (nx). On the interval [0,3]. At what value of x would the…

A: Topic = Derivative

Q: e2t – e-2t – 4t lim t-0 t – sin(t) (use L'Hospital multiple times)

A:

Q: The derivative of the function y = 9 sin + 22 is. 0 + (In 2") O - (In 2)2= O + (In 2)2" 0로+ (In 2)2"…

A:

Q: sin t (c) y = 1- cost

A: The given function,         y=sin t1-cos t

Q: sin 3y cot 5y lim y→0 y cot 4y у cot

A:

Q: (f) Draw number line indicating where f" is + or - or 0 or dne (g) Find all inflection points (h)…

A: Given, f(x)=ln(x2+1)f'(x)=2xx2+1f''(x)=2(1-x)(1+x)(x2+1)2 (f) To draw the number line indicating…

Q: sin 3y cot 5y Evaluate limy-0 y cot 4y

A:

Q: 8. Show that jxk i.jxk (а) і— kxi (b) j= i.jxk ixj (c) k =- i.jxk

A: Topic = Vector

Q: sin(xy} lim (x.y) (0.0) t² + y

A:

Q: If f(z) = + then The slope of the tangent line to f at a 1 is If T(2) = + is the temperature of a…

A:

Q: Speed Freaks Sports has determined their order of Blazing Blue snowmobiles is based on the wholesale…

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Q: (1) A ball is dropped from a roof top. The height, in meters, and the time, in seconds, are related…

A: The answers are in step 2.