Find the linearization of the function f(x) = L(x) = B b √ā B -1.1 lal म sin (a) Find the true values of f(x) and the approximations using L (a) below. Round all of your answers to 3 decimal places. You can use a calculator, spreadsheet, browser, etc. to calculate the exact values. 1 4x+3 -1.01 -1.001 The exact value f(x) Number at z = -1. Number Number The approximate value L (x) Number Number Number

Q: Find the derivative of y = cos The derivative of y = cos 1 5 X 5 X with respect to x. with respect…

A: In this question, we want to find the derivative of the given function.

Q: Write a recursive rule for the sequence. a_(n)=3n-7

A:

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

A:

Q: Grade A and Grade B) in each department. In department 1, Grade A and Grade B workers are paid $14…

A: As per our guidelines we are supposed to answer only three subparts of a question. So first three…

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

A:

Q: Find the absolute maximum f(x, y) = xy² + 1, absolute maximum value absolute minimum value and…

A: Given function:- fx,y=xy2+1

Q: 5. Let D be the planar region that is inside both polar curves r = 1+ cose and r = 1+ sine, but is…

A:

Q: 5. Find the second derivative of the following function. 2 f(x) = (x³ - 3x²²

A:

Q: Write an iterated integral for bounded by y =√x, y = 0, and x = 256 using a. vertical…

A:

Q: Find y' and y". y': y" = y = (²+ √x) ³

A: SOLUTION-

Q: c2 sősºv 2 2 2 x√ x² + y² dydx x√x 4-x

A:

Q: Given the points X (1,2,-1) and Y (0,3,-2), find a vector collinear with XY having opposite…

A: Given :- Points X1,2,-1 and Y0,3,-2

Q: Give an example of a:) two independent events and b.) two dependent events.

A: Event: An event refers to a specific outcome or occurrence that can happen in a particular situation…

Q: Find equations of the tangent plane and the normal line to the given surface at the specified point.…

A:

Q: Find the directional derivative of f at P in the direction of a. f(x, y) = 3 tan ¹(²); P(-4,4);…

A:

Q: 2. Rewrite the integral f(x, y, z)dzdxdy using the order dxdydz.

A:

Q: The rate (in liters per minute) at which water drains from a tank is recorded at half-minute…

A:

Q: Determine which value best approximates the area of the region bounded by the graphs of f and g.…

A: Solution: So. the intersection point is x+3=(x-3)2 x + 3 = x2 +9 -6x x2 +9 -6x -x -3 =0 x2 -7x…

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: So what happened to the 1/2 in front of the ln(x^2)

A: I understand what you are asking .

Q: Write a formula for the distance between a point (x, y) on the graph of y = x and the point (3, 11).…

A: given y=x4point is (3,11)distance between two points (x1,y1) and (x2,y2) is D=(x2-x1)2+(y2-y1)2

Q: k=2 2k (-5)k+1

A:

Q: Finite Math - Graphing Linear Inequalities: - Sketch the region that corresponds to the given…

A:

Q: Find the directional derivative of f at P in the direction of a. f(x, y, z) = xy + z²; P(0,3,-5);…

A: We have given that

Q: (c) 1 So ²2-²32 3z ² dz.

A:

Q: For the regions A and B shown in the graph: A: Discuss the limits of integration. B: Set up an…

A:

Q: The period of a pendulum (the time elapsed during one complete swing of the pendulum) varies…

A:

Q: Use the definitions listed in Section 6.1.2 with f(x, y, z) = x² + yz, F(x, y, z) = (xy, yz, xz),…

A:

Q: 2 [dz - dr by computing left-hand and right-hand sums with 3 and 6 subdivisions of equal length. You…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Compute Since this doesn't look like 0/0 or ∞/∞, you can't use L'Hôpital's rule right away. The…

A: In this question, we want to find the limit of the given function.

Q: Find the volume of the region bounded above by the surface z = 3-y² and below by the rectangle R:…

A:

Q: Given that k is an arbitrary constant, find the orthogonal trajectories of the following family of…

A: We need to find out the orthogonal trajectories of the family of curves for the given equation.

Q: Determine a quadratic function f(x) = ax² + bx + c if its graph passes through the point (4,4) [4T]…

A:

Q: 6. Differentiate. (Do the first step only, do not simplify) f(x) = (2x* - x³)²√3x + 1

A:

Q: Using the method of substitution, I = = 6²² where u= du = a = b= f(u) = = = [²₁ a x²√6x +5 dx = f(u)…

A: The solution is shown in step-2

Q: Question 3 cos(0)= Given A B с D -21 5 -8 | 5 7 25 = 16 25 1 <0- 5 and <<, what is the value of…

A:

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: 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: 4 (d) Σ ( + 1)(k + 3) (k+ k=0

A:

Q: An open box is to be made out of a 10-inch by 14-inch piece of cardboard by cutting out squares of…

A:

Q: tt (seconds) 0 2 4 6 8 Velocity (ft/sec) 0 2 8 14 30   Shown in the table is the velocity of a car…

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: 6. Determine a vector p with |p1=5 such that p is collinear to AB given the points A(3, -7, -1) and…

A:

Q: Use either the shell method or the disk/washer method to find the volume of the solid of revolution…

A:

Q: Find the producers' surplus for the supply curve p = 0.02x + 7 at x = 100. O $800 O $100 O $200 O…

A: The producer surplus formula is given below.

Q: Neu Fabrication Company operates 360 days a year and uses 150 cartridges each day. Using a…

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x, as shown…

A:

Q: The figure shows a sector of a circle with a central angle 0. Let A(0) be the area of the segment…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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

A: