5x + 5 if z < 3 Let f(x) = 29 3x if I > 3 !! 17 if z = 3 Determine whether f(x) is continuous at I = 3. If f(x) is not continuous, identify why. O Not continuous: lim f(x) does not exist. O Not continuous: lim f(2) + f(a). O Not continuous: f(3) is undefined. O The function is continuous at z 3.

Q: 2. Find the derivative y' for each function/curve. Once you solve for y', you do not need to simplif...

A:

Q: . Using integration by parts: prove that ſ In u du = u In|u| – u + C %3D

A:

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'...

A:

Q: Solve

A: We will solve the Differential equation. 

Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A:

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter DNE....

A: f(x)=6sinx+6cosx

Q: 2. v=i+k, u = 5i + 12j V = Find: a. u.v, l미, lul b. the cosine of the angle between u and v. the sca...

A:

Q: ind the general solution of the following equation. Express the solution explicitly as a function of...

A: Given query is to find the solution of the differential equation.

Q: Use logarithmic differentiation to find dy/dx for y= x^3 square root(2x-3)/(x+2)^2

A: This is a problem of differentiation of the function. By using the general formula we will find out ...

Q: Find an equatian af the line that passes through the point and has the Indicated slope. Polnt Slope ...

A:

Q: 4. For infants less than 9 months old, the relationship between the rate of growth R (in pounds/mont...

A:

Q: Given the function graphed below, evaluate the definite integrals. 5 -2 -3- -4 | f(x)d# =| f(x)dx to...

A: Given query is to find the indicated integral.

Q: Find energy in kJ of a photon. 2=488 nm. The speed of light is 3.00 x 108 m/s and h = 6.63 x 10-34 J...

A: Energy

Q: Evaluate the following integrals: Show CLEAN AND CLEAR solutions also indicate what rules/formulas y...

A:

Q: And an equation of the line that passes through the points. (2,-3), (4, -3) Sketch the Ilne. 10 Grap...

A:

Q: Cones ider funcho s fa)= 4/x-2J two important opeN intervals There are -0,A) and (A, ) where A is a ...

A: Solution is given below..

Q: 15-17 Find the local maximum and minimum values of f using both the First and Second Derivative Test...

A:

Q: SHOW THAT : csc² (2 cot¯ /x -1 dx X - 1 Vx +x/x

A:

Q: f(2) = -3 sin a cos z on [-7, 7] a) Find the critical numbers of f. (Separate multiple answers by co...

A:

Q: Graph the function f(x) = log 1/3(x- 3) - 4. Use the graphing tool to graph the equation.

A:

Q: Next ques Write the expression as a single logarithm with coefficient 1. Assume all variables repres...

A:

Q: (b) Let f(x) = sin (cos-1 (sin(cos-vx))).B f'(1) = using chain rule, show that %3D

A:

Q: Given the function below, determine if the function is continuous at the point I = 4. If not, indica...

A:

Q: 2. In 3-space the distance d from a point P to the line L through points A and B can be expressed as...

A:

Q: In a regular polygon of n sides each interior angle is 144 degree find n

A:

Q: f (x*) and G(x) = (F(x))* . Let F(¤) You also know that a' = 5, f(a) = 3, ƒ'(a) = 9, f'(a*) 13 Then ...

A:

Q: The profit P(x) pesos from producing x thousands of goods is given by P(x) = 11x² + 1980r + k for so...

A:

Q: Please

A: We will find the measure of the angles. 

Q: Use the chain rule to find the derivative of 12 f(x) = 2(50 - 2x) You do not need to expand out your...

A: By using chain rule to find the derivative of the given function.fx=25x10-2x812    

Q: The coefficient of Sin(x) in the antiderivative of F(x) =| cos 2 is Blank 1 (use fraction form not d...

A: Find your answer below 

Q: Use the Growth Rates of Sequences Theorem to find the limit of the following sequence or state that ...

A:   The given equation is an=10nn102n. Growth Rates of sequences: If the increasing growth rate of the...

Q: a moving point is equidistant from the point (a,0,0) and the line x+a=0,y=0.Find the value of z^2

A: Let us assume that the point is = x,y,z The distance between the point a,0,0 and point x,y,z is: x-a...

Q: Graph the inverse of the given one-to-one function. Choose the correct graph below. Ay OA. OB. Oc. O...

A:

Q: (8) Does the series > 32n + 4 An+1 converge or diverge? Justify your answer.

A: The given series,        ∑n=1∞32n+4π4n+1

Q: 8. S(1- sec3x)²dx

A:

Q: Find the sum of the series whose terms are an=(1/n)-(1/(n+1)). What kind of series is this?

A: topic -series and its summation 

Q: f(x)=3x^5−10x^3+5, on what intervals is f′′(x)>0? Enter the (disjoint) interval(s) below using 'U' ...

A: Given query is to find the interval where f" is greater than zero.

Q: 0 Given Sukiject to: find the vaplue x that wiU Minimine

A: Express z as in terms of x using constrain then use derivative to find x for minimising z. 

Q: Let f(x) = x ( +2)* and calculate %3D f(x) dr by using integration by substitution. What was your su...

A:

Q: SHOW ALL WORK! date Round all answers to 3 decimal places unless directed otherwise. Use a graphing ...

A:

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume V of the...

A: We use shells method to find the volume.

Q: Evaluate: J x?cos(2x)dx

A:

Q: Use cylindrical shells to find the volume V of the solid. The solid torus (the donut-shaped solid s...

A: Solve the following

Q: a 3. x³dx a/x² – 16 + 8 /(x² – 16)8 + C = r2 – 16 4.

A: Solution No. 3 I=∫-10x2x+1dxput    x+1= u , we getI =∫01(u-1)2udu    =∫01(u52-2u32+u)du   =16105=ab

Q: NOW YOU SOLVE THIS! Use Table of Values and Graphing to determine the limits of the following functi...

A:

Q: Find the area of the triangle with vertices P(1, 2, -4), Q(0,0,0) and R(2, 4, 1). NOTE: Enter the ex...

A:

Q: Let a and b be non-negative real numbers. Provide an example of an improper integral of the form f(x...

A: Given problem :-

Q: Consider vectors u and v. Find unit vector w in the direction of the cross product vector u x v. Exp...

A:

Q: 1 Sketch of the region enclosed by the given curves and find its area: (a) y = cos x, y=cos?x, 0<xSn

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in ...

A: This is a problem related to calculating the rate of change in the numerical form and percentage for...