4 Given f(x) = 4x³+, find the equation of the following lines, expressed in the form X Ax+By+C =0 where A>0. The tangent line to the graph of f(x) at x = 2.

Q: x² + y² − 2x + 2y + 1 = 0 b. G

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Q: Find the linearization of the function f(x) = L(x) = B b √ā B -1.1 lal म sin (a) Find the true…

A: We have to linearize the given function and find the values at given values of x.

Q: A javalina rancher wants to enclose a rectangular area and then divide it into five pens with…

A:

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A:

Q: LINEAR DIFFERENTIAL EQUATION 3 ; y ( ¹ ) = 3 1.) dy dx + 24 x

A: As per the rules we can answer the first question and rest others can be reposted, to find out the…

Q: 2. Given that L: 4x-5y = 15, (a) Find the y-intercept of the line L. (b) Find the slope of the line…

A: part (a) and (b) is shown.

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: The useful formula is: ∫1udu=lnu+C and ∫udu=u22+C

Q: Find the following limit. lim

A: We have given a vector values function and we have to find the limit.

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/4…

A:

Q: 12) The owner of a video store has determined that the profits P of the store are approximately…

A: As per guidline we can solve maximum one question you can repost other ones

Q: This is similar to a problem in the textbook. Time spent running (minutes) 0 15 30 45 60 75 Speed…

A:

Q: Find the relative extrema, if any, of the function. Use the Second Derivative Test if applicable.…

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Q: A swimming pool is circular with a 40-ft diameter. The depth is constant along east-west lines and…

A: Given: A given swimming pool is circular with a 40 diameter and radius 20. since height varies from…

Q: 3- For the following network, determine the critical path. The duration of each activity (in day) is…

A: Critical path is the longest duration to complete an activity

Q: Let f(x, y, z)= y³z + ln(xy + 1) + ye*. Then the maximum rate of change off at the point A (0, -1,…

A:

Q: Given a line defined by the equation T (5,-3,2) + (-8,1,4) and that the point P(x, y, −10) lies on…

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Q: For the following find the critical points using the first derivative test, compute the Hessian and…

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Q: Consider the following curve. X = ==—= (y² + 2) ³/2, 3≤ y ≤5 Set up an integral in terms of y that…

A: I am attaching an image so that you understand each and every step.

Q: ← Minimize Q=6x² + 3y², where x + y = 9. X= ... y= (Simplify your answer. Type an exact answer,…

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Q: Find the value or values of c that satisfy the equation the given function and interval. C= f(x) =…

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Q: Find f'(a). f(x)= 16+x-8x²

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Q: C. 9 +2²=1 4 d. 16x² +4y² = 32

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Q: ind the relative extreme points of the function, if they exist. Then sketch a graph of the function.…

A: In this question, we want to find the relative maximum and minimum point of the given function f(x).

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A:

Q: Consider the following series. n = 2 In(n) n+4 Use the Direct Comparison Test to complete the…

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Q: Given the function f(x) = sinx+cosx on the interval [0, 27], find any critical number intervals on…

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Q: Using the method of substitution, I = where u= [ x¹(2 + 2x²)³²dx = [ f(u)du du = f(u) = Using the…

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Q: Flight of a Rocket The altitude (in feet) of a rocket t s into flight is given by s = f(t) = -t³ +…

A: s=f(t)=-t3+54t2+460t+6

Q: ind the standart equation of each parabola a. focus is at (2,0) b. directrix .x=3 c. Directrix is…

A:

Q: Consider the following series. 00 n = 1 1 3n5 + 7 37³ Use the Direct Comparison Test to complete the…

A:

Q: Calculator active. Mr. Kelly and Mr. Sullivan are doing a morning speed-walk race going down a…

A: For 0≤t≤20, Mr. Kelly's velocity at time t is  kt=16500t2-5t+74.33 Mr. Sullivan's velocity at time t…

Q: Determine whether the following series converge or diverge. Be sure to name any test (s) used as…

A: The solution is shown in step-2 As per company guidelines only one question is allowed to answer for…

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: As we know that Volume of the box = Area×height For largest volume , either dVdx = 0 or dvdy = 0

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: Let dimension along side infinity wall = x let dimension along side other wall = y

Q: sketch the curve, Find :  a) domain  b) intercepts (x and y)  c) symmetry

A: As per rule I need to solve only first 3 subparts.

Q: 4) Find the point on the line y = 2x + 3 that is closest to the origin.

A: Here given line is: y=2x+3 Find the point on the line that is closest to the origin.

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular…

A: Let infinity wall side length = a  another length denoted by = b

Q: Problem #2: Let A Problem #2: Let B 8(u, v) = Find C g(u, v) Problem #2: Let a²g(u, v) dudv Findg(u,…

A:

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: To evaluate the given integral,Use the substitution u = 1 - 2t  .

Q: A) Find and classify the critical points of f (z, y) = x^3 + y^3 − 6y^2 − 3x + 9 using the first and…

A: The function given is fx,y=x3+y3-6y2-3x+9

Q: Determine the measure of the angle between the two vectors [1,2,3] and [-1,3,-2).

A: If there are two vectors u and v, then the angle between these two vectors will be: θ=cos-1u·vuv

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: 3x2 + xy + y2 - 37 = 0 for this question, we used the concept of implicit differentiation

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: To find the maximum rate of change of f at the given point  and the direction in which it occurs.…

Q: Population Growth in Clark County A certain county in Nevada is one of the fastest-growing…

A: Function given in the question is: P(t) = 42,451 t3 − 85,394 t2 + 234,633 t + 273,288    (0 ≤ t ≤ 4)…

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y)= - 8x²8xy-8y²…

A: Given function is

Q: 3. Find the derivative of y in each case. sin (x) cos (x) (a) y = (b) y = sin³ (x) (c) y = x sin…

A:

Q: iven x+y+z=2 °0(0,0,2 following. (a) Find the equation for the tangent plane at the point Po on the…

A: We have given that  x+y+z = 2 And P0(0,0,2)

Q: The compound interest formula states that if P dollars are invested at an annual interest rate of r,…

A: given  A=P(1+rn)nt given rate=8% compound quaterly final balance=$27550

Q: 46) The number of books in a small library increases according to the function B = 5,900e0.04t,…

A:

Q: Solve both don't say for agàin post.   Handwriting.high Derivative  1. f(x)= (9x³+4x²)³ 2. f(x)=…

A: 1) Given a function is, fx=9x3+4x23