lugins 2. Suppose a wire is placed along the x-axis, and its temperature (in °C) at the point is given 15 4x² +9 by T(x) = Find the average temperature of the wire from x = 0 to x = 1.5.

Q: Use the definition of continuity and the properties of limits to show that the function is…

A:

Q: a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose…

A: Note: As per our guidelines we are supposed to answer only three subparts if there are multiple…

Q: Given a function h, defined as h(x) = bx - 4, where b is a constant, which of the following…

A: We have given function  hx=bx-4 Put x=3 h3=3b-4 Similarly, Put x=b hb=b×b-4 hb=b2-4

Q: n x + 3xn-kyk +yn 2 x² - y²

A: Given: fx,y=xn+3xn-kyk+ynx2-y2 To find: whether the function is homogeneous or not, if yes find the…

Q: compare the instantaneous rates of change of f(x)= sinx and f(x)=4sinx of the same values of x. what…

A: Given: f(x) = sinx f(x) = 4sinx Definition of instantaneous rate of change: Instantaneous rate of…

Q: The cost function for manufacturing electric drills is estimated to be: 4x²_ C(x) Where C(x) is in…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: M(x,y) dx + (xexy - 4xy³ + 2) dy = 0

A: Let's solve given differential equation.

Q: 38. f(x) = 5e³; x = 1

A: 38. We have given function  fx=5ex Put x=1 f1=5e1 f1=5e Differentiating function with respect to x…

Q: each

A: We have to find its value according to the given information.

Q: Find the indefinite integral. (Use C for the constant of integration.) X-6 √(x + 3)² + 36 dx

A:

Q: F(x) = 5x²-x+2 f(a+i)=

A:

Q: Let 1 f(x) x - 1 Use the limit definition of the derivative to find (i) ƒ'(−3) = (ii) ƒ'(0) = =…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Suppose a company has fixed costs of $36,000 and variable cost per unit of +222 dollars, where x is…

A: Given that fixed cost is $36000 and variable cost is 13x+222 dollar per unit.And selling price per…

Q: Ny 10- 8- 6- 4- 2- y=h(x) 6 X 8 10

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Sketch the region in the first quadrant enclosed by y = 2/x, y = 3x, and y=x. Decide whether to…

A: Given :

Q: Consider the function Evaluate the definite integral 5₁ f(x) dx = Evaluate the average value of f on…

A: Given that f(x)=x   if x<1 1x if x≥1We have to evaluate definite integral ∫-15f(x)dxand average…

Q: Recent studies indicate that the average surface temperature of earth has been rising steadily. Some…

A: Given temperature model T = 0.01t + 8.40where T is a temperature in °c and t represents years since…

Q: 2 f(t) = sinht += sin² 3t

A: We know  ℒftt=∫s∞Fsds

Q: Determine the amplitude and phase shift for the function, f(x) = sin(x)-5 and sketch at least one…

A:

Q: In Exercises 7-16, evaluate the limit. X x → ∞ x + 9 7. lim 8. lim x →∞ 3x² + 20x x →∞ 2x² + 3x³ -…

A:

Q: Distance From Water (ft.) 0 T √ 4 8 8 X 12 Time (sec.) Here is the graph for a new turtle. Use the…

A: Graph for a new turtle is given.

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A:

Q: 26 19 cb [²º f(x)dx – [¹³° f(x)dx = ["* f(x)dx - 9 a where a = and b =

A: Given query is to find the value of a and b.

Q: Qu Solve the following ordinary differential eations: -x=5y²x³

A:

Q: -1. -2 -3 3 4 5 6 Make it continuous. 7 (1) Change the graph (by dragging one of the movable points)…

A:

Q: which of the following functions results if f(x)=log10x is vertically stretched by a factor of 4,…

A:

Q: Find the arc length of the curve on the interval. r(t) = (t² + 1, 8t³ + 3), −1 ≤ t ≤ 0 -2√145 X

A:

Q: if x -5 Calculate the following limits. Enter "DNE" if the limit does not exist. lim_ f(x) = Let…

A: This question of calculus  here limit of function is given  we have to find limit of piecewise…

Q: H. JJ HY BY 4.6 where y(0)=0 y'co)=2

A: Given differential equation is y''+4y'+3y=4e-x with y(0)=0 and y'(0)=2We know the formula that PI of…

Q: Q1. Use numerical evidence to evaluate lim (-2x + 5) based on the table given. X 0 5 .9 .99 1.01 1.1…

A: The answer is in step 2.

Q: (c) Find the domain and the range of g(x). (d) Give the open interval(s) when g(x) is strictly…

A:

Q: The population of Nevada was 3.0 million in 2018 and 2.7 million in 2010. Assuming an exponential…

A:

Q: incorrect

A:

Q: Let f(x) = 2x² + 9x +9 3x² + 20x + 25 This function has: 1) A y intercept at the point 2) x…

A:

Q: 1. Differentiate, y e4x / x7

A:

Q: (b) (5, 3π/2, 1). (x, y, z) = ed Help? -5 Read It 0 X 1 ).

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: use the chain rule to predict, (partial f / partial x) and (partial f / partial y) given that F(u,v)…

A:

Q: The base of the solid is a square, one of whose sides is the interval [0, 2] along the the x-axis.…

A: volume = length×width×height given  f(x)=5x2given base of solid is square and one of whose side is…

Q: 5. f2cotx−3 sinx dx sin x

A: Using substitution and direct integration

Q: Suppose that f is a f(x) = 6x² + cx 6x² + cx if x 2 Determine the value of c for which the limit of…

A:

Q: CO: a) Find values for the parameters a and Po. Round your answer for Po to three decimal places.…

A: We are asked find the value parameters a and p0

Q: Find the area of the shaded region. y 4 3 2 1 (1, 1) 2 y=√x 4 X 6 X = 8 8 X

A: Topic - Area of shaded region We are given curves as y=x3andy=1xshaded area is from x=1 to x=8

Q: Consider the following equations. f(y) = y(6 - y) g(y) = -y

A:

Q: Average vs. instantaneous rates of change. Frank was monitoring the population of fruit flies as…

A: Note :- Since you have posted multiple questions with multiple subparts, we will provide the…

Q: f(x)=-4 3- 2- -3- Watch the values of f(x) as the x value changes. 5 What y-value is f(x) getting…

A:

Q: Find all first and second partial derivatives of the following: a. z = 4x³ − 5xy² + 3y³ b. z = x²…

A:

Q: The position of a particle in the xy-plane at time t is r(t) = (t - 2) i + (²+1) j. Find an equation…

A:

Q: Find the zeros of the polynomial​ function, and state the multiplicity of each.…

A: We need to find zeroes.

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

A: Topic = Area

Q: fFnd the derivative of: g(x) = 3cos^6(18x^4)

A: