-5-k -5 If L f(x- k)dx = 1, compute f(x)dx. %3D 3-k 3

Q: Let exp(x) denotes the exponential function e. If f(1) = exp(zi),z >0. %3D then the minimum value of…

A: Consider the given function fx=ex1x

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: 4. Micky starts a retirement account at age 32, putting away $250 each pay period, of which he has…

A: Given that the amount of money at time, t with a rate 4% is, ft=6000e0.04t Suppose that the…

Q: The graphs above are approximate graphs of f and f' for f(x) = x°(x – 12). So f is decreasing (and…

A:

Q: Find the domain of the function. f(x) = ln ( 1/ (x + 1)

A: f(x)=ln1x+1

Q: 2n If f(x) = >(-1)". find f') accurate to 4 decimal places. 3" n=0

A:

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: Consider the function f(x) =3 on the interval [1,5]. A graph of the function appears to the left.…

A: SOLUTION-

Q: A toxin introduces into a colony of bacteria, and t hours later, the population of bacteria is given…

A: Given:  N(t)=(5t+9)e-0.1t. As nothing is specified, we will do it by graphical method. Let us plot…

Q: 5) Find the range of values of x for which given function is decreasing dy = 4x dx 10

A: We will find out the required value.

Q: 5. For y = -ln(x), find the value of x where the slope is a) x = − 6 b) -In(6) d) Does Not Exist

A:

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: - 3x + 1, x S 4 Find the value k , if the function ƒ (x) = is continuous at x = 4. -kx + 1, x > 4

A: We will find the value of k as following.

Q: log, x2, then y has

A: We will find out the required value.

Q: x+k², ifx < 2 What value(s) of k will make f(x) = - continuous? %3D |kx + 10, if x 2 2

A: If the function is continuous then left limit is equal to right limit

Q: 44. Write a function of continuous time t for which the two successive changes →f and t →t– 1 leave…

A: Consider the continuous function y(t) is defined as, yt=ut+1-ut-2     ......(I) Here, ut+1=1,…

Q: #2 Suppose a certain drug is administered to a patient, with the percent of concentration of the…

A:

Q: The function fis increasing on the interval (s) (A) 0 1 © x>2 D x 2

A:

Q: The function below has a critical point at x = 3. What is the exact value of b (as a fraction - no…

A:

Q: 4. Which of the following functions grows at the same rate as ex as x goes to infinity? ex+3 e3x e2x…

A: We find which of the following functions grow at the same rate as ex as x goes to infinity: (1) ex+3…

Q: 4. Determine the value of the constant k so that f(x) = e* (x + k) decreases on the intervals (- 0,…

A: we have to find value of k

Q: In Biology, "allometry" is the study of relative changes in organisms in relation to their body…

A: Explanation of the answer is as follows

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

A:

Q: At time t years, the population of a city is increasing at a rate of f(t) = 10e^(−0.2t^2) thousand…

A: Given ft=10e−0.2t2 (a) We have estimate ∫06ftdt  by trapezoidal rule with n=3. Here, a=0, b=6 and…

Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs 4. Find the rate of…

A: The given function is y=40x,   0≤x≤4. Obtain the derivative as follows.…

Q: S Зх-7 dx 10х2+3x+11

A:

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: 2. An efficiency study of the morning shift at a factory (7 am to noon) indicates that an average…

A: Answer

Q: f(x) = -x2-6x-6 Find the average rate of change over the interval [-3,1]

A: The average rate of change over the interval [-3,1] is given by:

Q: The population of a colony of bacteria is modeled by the function P(x) = 50(e-X -e-*") + 10, for 0 <…

A:

Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

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

Q: An investment pays out 800,000 Mexican pesos per year, continuously for 5 years. Find the PV of the…

A: Given, AmountA=800,000t=5 years

Q: (e) Find the net change in h between x = -3 and x = 3. %3D

A: Explanation of the answer is as follows

Q: 3. Determine the x-value(s) for which the function g(x) = In|x² +3x| has an instantaneous rate of…

A: Given function is Differentiating both sides with respect to x, we get

Q: An efficiency study of the morning shift at a certain factory indicates that an average worker who…

A: Given, Qt=-t3+6t2+24t a. Compute the worker's rate of production at 11:00 A.M. Here t=3 ( Difference…

Q: #3 The population in a region can be approximated by the function P(t) = 325 + (t + 10)e-(t+10)/20…

A:

Q: Suppose the depth of water in the lake at time t is given by h(t) = 5 -1/3t What is the average…

A:

Q: Find f' (æ) for f (x) = 7 ln(4 + æ²).

A:

Q: Find P(2 SX 0 3 e-e е 2 — е 2 е 2 — е 2 2. e-1- e е з - е з 512

A:

Q: 2 Refer to the graph above and without making any computa- tions find: The average rate of change…

A:

Q: where P =n+p+h is the total population, and a and b are some real numbers (which you do not need to…

A: We are given the following information. The population has been divided into three categories:…

Q: Suppose that y = P(t) represents the population of a city at time t. What does represent? At ΔΡ

A: We know that

Q: if f=5 is an equilibrium solution of an equation of change involving df/dx, what is the value of…

A: f=5 is an equilibrium solution of an equation of change involving dfdx.

Q: Find the values of x for which y is increasing most rapidly or decreasing most rapidly. 112 Let y =…

A:

Q: -6x If f(x) = -3. then f'(3) = x+3 (Answer accurate to 2 decimal places.)

A: Given fx=-6xx+3 The quotient rule of differentiation states that ddxuxvx=vdudx-udvdxv2. The power…

Q: 9. If f(5) = 13, f' is continuous, and f'(x) dx = 16, what is the value of f(6)?

A: Use property of definite integration

Q: 2. Which of the following functions grow faster than e as x–→∞? Which grow at the same rate as e"?…

A: