Let f(x) = 5x². a) Find the linearization L(x) of f at a = 2. b) Use the linearization to approximate 5(2.1)². c) Find 5(2.1)² using a calculator. d) What is the difference between the approximation and the actual value of 5(2.1)². a) The linear approximation is L(x) = 2 GEXER

Q: researcher at a coat manufacturer finds that the marginal cost at a production level of 400 coats is…

A: Given query is to find the correct interpretation of the statment.

Q: Consider a function f such that Then: • f(x) has a local minimum at x = • f(x) has a local maximum…

A:

Q: For the points P₁ (8,7,8) and P₂ (9,8,7), find the direction of P₁ P₂ and the midpoint of line…

A:

Q: 4. Let function g: R → R be defined by g(x) = |x|. g(0+h)-g(0) h B. The value of lim 9(0+ h) − g(0)…

A:

Q: SOLVE THE FOLLOWING ODE STEP BY STEP IN DIGITAL FORMAT PLEASE xy' + 2y = sin y

A: Solve by variable separable  xdydx+2y=sinyxdydx=sin(y)-2ydydx/(siny-2y)=1xintegrate both side

Q: se Newton's method to obtain the third approximation, X2, of the positive fourth root of 6 by 4…

A: Find the third approximation root x2 of the positive root of 6 by calculating the third…

Q: 3. Find the absolute maximum and minimum values (use exact values): g(x)=sin’x+cosx, [-T, π]

A: solution is given below..

Q: In submarine location problems, it is often necessary to find a submarine's closest point of…

A:

Q: Evaluate the following integrals: (1) ²²x²yzdxdydz (2) 0 Jo [²²³² (x² + y² +2²) dxdydz

A:

Q: -5 -4 -3 -2 5+ + 3 2 1 -1 -2 -3 -4 -5+ 1 2 10 In the above graph of y = f( x ), find the slope of…

A:

Q: Write each expression in terms of sines and/or cosines and then simplify. sec(x) 1) (sec(x) + 1) = |…

A:

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its…

A:

Q: Consider the function f(x)=xe^2x c. Find the local minimum values(s) and local maximum value(s) of…

A:

Q: Consider the rational function f(x) f(z) has two inflection points at x = C D = (C, D): Select an…

A:

Q: Using f(x) = 2 -X₁ x, L6 we have the following. (2) [f(2) + f(4) + f(6) + f(8) + f(10) + f(12)] = 2…

A:

Q: Find all values of t at which the parametric curve has (a) horizontal tangent line and (b) a…

A: The given data is: x=2sinty=4cost0≤t≤2π

Q: You have been given the following initial Problem, Please Solve it. Your Symbolic function of x…

A: see below the answer and calulation

Q: 1. (a) (b) (c) (d) Write an equation for the exponential function with base a, where a > 0. What is…

A:

Q: m the 7 choices, select all that apply [²¹ dx [(x² - 1) dx Which of the following are improper…

A: NOTE: Refresh your page if you can't see any equations. . here upper and lower limits are finite…

Q: Evaluate the following integral using a change of variables. SS (y + 2x + 1) y-x R dA, where R is…

A:

Q: Calculate the volume of a solid enclosed by the following equations z=x² +1, x=3, y=9 and the three…

A:

Q: Let D be the region bounded by the y-axis and x = √1-y². Express D in polar coordinates. Provide…

A:

Q: Graph the following functions by the method outlined below: i) plot all x-intercepts and all…

A: As per bartleby guidelines we only give first question answer. Please repost for other parts.

Q: Let ƒ(x) = ln[x°(x + 6)³(x² + 9)³]

A:

Q: Solve the system by back substitution. 4x+8y + 2z +6w= -4 -3y-18z-6w= -24 3z + 3w= 4w = 6 12 The…

A:

Q: Find the critical number(s) of: f(x) = x³ (5 - x)6 Separate multiple answers with commas. -

A: Given:       fx=x35-x6 Critical value of f are values in the domain of f at which either f does not…

Q: 996, there were 41,719 shopping centers in a certain country. In 2006, there were 48,147. Write an…

A:

Q: 5. Find the surface area of a sphere of radius 4 using integral.

A:

Q: For the following multivariable function f(x,y) = (3x-2) 2 (5y + 4) which of the following partial…

A:

Q: 20. The table of values of a linear function is shown below. المدخل Input نشرات ترويجية Flyers 1 0…

A:

Q: d Find -(3*). Type In(x) for the natural logartihtm function. dx

A:

Q: Find an antiderivative of the function f(x) = x cos(x).

A:

Q: Find the following for the vectors u = - 8i-10j + √3k and v=8i + 10j-√3k. a. v. u, |v|, and lu b.…

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

Q: For each of the following combinations of A, a, and b indicate if there are 0, 1, or 2 triangles…

A:

Q: The half-life of phosphorus-32 is approximately 24.3 days. Step 1 of 3: Determine a so that A(t) =…

A:

Q: Write the equation of the tangent line to the curve at the given point. x² + y² + 6x - 3y + 7 = 0 at…

A:

Q: What

A:

Q: 2. Approximate the value of cos using the sixth degree Maclaurin polynomial of the cosine function.…

A:

Q: Q3.2 You have been given the following cases. For which of them do the given form a fundamental set…

A:

Q: 29. Use parts to derive the formula - In │x + √√x² − 1| + C sec-¹x dx = x sec-¹x - In

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

Q: For the function f, how would you remove the discontinuity? In other words, how would you define…

A:

Q: Sketch the region enclosed by the curves x = sin 9y and x = y, and compute its area as an integral.…

A:

Q: Use Newton's method to estimate the two zeros of the following function. Start with Xo = 1 for the…

A:

Q: Find the absolute extrema of the function on the closed interval. y = tan [0, 5] minimum maximum…

A:

Q: Let f(x) = -4 ln(6x)

A:

Q: Find the integral of csc^5dx using integration by parts

A: We need to find the integral of csc^5 x dx. So,…

Q: Given the following graph of r = 2 cos theta, please show what values of theta are at (2,0), (1,1),…

A:

Q: 3. Let f: R→ R be a function for which a tangent line to its graph is well-defined at every point…

A: Let's find point slope equation of tangent line at x=-1.

Q: ) Error Analysis A student claims that 2i is the only imaginary root of a polynomial equation that…

A:

Q: For each value below, enter the number correct to four decimal places. Suppose an arrow is shot…

A: