y-tu n Fig. 2 a) lim f(x) b) lim f(x) c) lim f(x)

Q: 1. y=√√3x²-5x+

A: Given: y=3x2-5x+1

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

A:

Q: 1. Given the piece-wise defined function f(x) = {* a) lim f(x) = x², x < 4 (x+6,x ≥ 4 b) lim f(x) =…

A: Given query is to find the limit of the function

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

A:

Q: Determine if the ff function is of exponential order: show solution 1. t^3 sin2t

A:

Q: . 3류 - 2층 : 3% +4/3) 1

A:

Q: 3. f(t) = 3t - t², (0,0) 4. f(x) = 3-5x, (-1,8) 5. g(x)=x²-9, (2,-5)

A:

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

A:

Q: Evaluate the following integrals a) S √1+x-√1-² dx (Hint: Maybe you need to rationalize the…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: 2. (a) Let==1-i. (i) (ii) Plot the position of on an Argand Diagram. == Express in the form = = ae¹,…

A: solution

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

A: given that,y=x5(1+2x)7 we know that, derivative formulas: (uv)'=uv'+vu' ddx(xn)=nxn-1

Q: Suppose f(x) and f'(x) have the following values. -5 -4 -3 -2 -1 f(x) 8 10 15 16 14 f'(x) -2 -3 9 -5…

A: We need to find  out h'(-5).

Q: Let f(x)=xsin(x)/1+x. Find f'(pi/2).

A: We can find the answer in the below steps.

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

A: Here we have to use the concept of derivatives

Q: (1) Given f(x)=2x+√x, find (ƒ-¹) (3)

A:

Q: A; B; Evaluate the expression without using a calculator. Expand and simplify. (2x + 3)² C; Solve…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Consider the following functions. f(x) = x², g(x) = x + 8 Find (fog)(x). Find the domain of…

A:

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

A:

Q: -+-N=r; N(2)=8. dt t

A: we will find the required.

Q: Let g be a differentiable function of two variables, with first variable x and second variable y,…

A:

Q: ose that the price per unit in dollars of a cell phone production is modeled by 0 – 0.012, where x…

A: We will find the required.

Q: 0 = 0 zu - dx² ᎾzᏢ

A:

Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

A:

Q: 1 c) [xln (25) dx =

A:

Q: Given that f(x) = xºh(x) h(-1) = 4 h'(-1)=7 Calculate f'(-1). | Hint: Use the product rule and the…

A:

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

A:

Q: What is the derivative of f(x)= xe ?

A: To find the derivative.

Q: How much of a 7% HCl acid solution needs to be mixed with how much of a 15% HCl acid solution so…

A: Solution

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

A: Solution

Q: 2. Suppose that 2= f(x,x) with x = ln (26-t²) y= 2 s²+²+t. Use multivariable chain rule to compute…

A: Let fx, y=4xy2+4y+exySuppose that z=fx, y with x=ln2s-t2 and y=2s2t2+t. To use multivariable chain…

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

A: Explanation of the answer is as follows

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: If you know that lim f(x) exists at an interior point of a domain interval of f, can you find its…

A:

Q: The general solution of the Differential Equation (2x-y²)dx-2x(y²-x+y)dy=0 is -xe2Y(x+y2)=C

A: To determine whether the following statement is true or false.The general solution of the…

Q: To create an object to display at the Art Museum of Philadelphia, Hao creates a solid of revolution…

A: If y is given as a function of x, then the volume of solid obtained by rotating the portion of the…

Q: For what values of a and b is the following function continuous at every x? 1 x≤-1 f(x) = ax-b -…

A: Given data: Function,  f(x)= 1                      for  x≤-1   ax-b             for -1&lt;x&lt;37…

Q: y = 3x³-2 5x243

A:

Q: The number of toy kangaroos, K, in a toy box after 't' days is given by K=t2+20t. a) determine the…

A: Topic:  Application of derivatives , rate of change     The answer is given below:

Q: The daily cost (in dollars) of producing Samsung VR headsets is given by C(x) = 900+400x² + 5x3…

A:

Q: Evaluate fi f(x) dx if f(x) = 06 O 12 O 14 08 (2x x-1 if x ≤ 3 if x > 3

A: We need to choose correct option.

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

A:

Q: Let f(x) be a continuous even function, and g(x) be a continuous odd function. Suppose that:…

A:

Q: This question is to emphasize how our differentiation rules can be used even when it doesn't look…

A:

Q: e selling price of a refrigerator, is $678.70. If the markup is 10% of the dealer's cost, what is…

A: Given query is to find the dealer's cost.

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: 8. Consider the following sign diagrams relating to the graph of y = f(x) Sign diagram of f(x): +…

A: Given 1.   2.

Q: П Find the length of the curve y = In (2 sec x) from 0≤x≤6 Set up the integral that gives the length…

A:

Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x= 11.

A: Topic = Functions

Q: c) lim 818 sin(x+3)

A:

Q: c) h(t): 5t e (t² + 1)^

A: