Consider the following. Function Point f(x) = arcsin 2x (a) Find an equation of the tangent line to the graph of the function at the given point. y = (b) Use a graphing utility to graph the function and its tangent line at the point. Use the tangent feature of a graphing utility to confirm your results. y y 1 X X -0.4 0.2 0.4 -0.4 -0.2 02 0.4 y y -0.4 -02 0.2 0.4 -0.4 -0.2 2 0.4

Q: Forms of Summation Notation 5. Sum of the squares of the variables: Ex = x,² +x,' +..+x,² i=1 Exampl...

A:

Q: The Laplace Transform of

A:

Q: 3 tan x – 4 cos? x cos x

A: Given : ∫3 tan x-4 cos2xcos xdx

Q: 3x^2y^2+2x^3ydy/dx=0, Find differential equations'

A:

Q: In Exercises 69-74, use the function value to find the indicated trigonometric value in the specifie...

A:

Q: Find fy (x,y,z), fy(x,y,z), f_(x,y,z), and fyx(x,y,z) for the following. f(x,y,z) = 3x* + 3xy - 5z

A: We need to find derivative of given function.

Q: C. а, %3D 3, аn+1 2an ; untuk n > 1

A:

Q: Evaluate the integral. | 8xex dx

A:

Q: g(x) is the graph of f(x) shifted down 3 units and left 4 units, write a formula x)= ter Vx as sqrt(...

A: Given: f(x)= 4√x

Q: 5) ( 3 tan x – 4 cos? x dx cos x

A: To evaluate the given integral.∫3 tan x-4 cos2 xcos x dx  

Q: A series RLC circuit is shown in Figure Q4 (b) where R= 4Q, L = 0.5H, C= 0.1F,E(t)=10 V and i(0) = 0...

A: Given: R=4ΩL=0.5 HC=0.1  FE(t)=10 V

Q: Find all local extrema for the function f(x,y) = - 6x - 9xy - 4y + 72x+54y+ 6.

A:

Q: 8. Sum of the products of a constant and a variable: Ecx, = cx, +cx2 +...+cx, i=1 = c(x1 +x2 +...+x,...

A:

Q: Given the differential equation y" + 6y' 5e2 cos(9x) Find the Differential Operator for the Left Sid...

A:

Q: (x + Vz)°da

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

A:

Q: To measure the height of the cloud cover at an airport, a worker shines a spotlight upward at an ang...

A: As per given question We have to determine height of clo

Q: 2x2 – 9 ,x < 1 What is the lim f(x)? f(x) = 1 4x – 11, x 2 1 A. -7 В.3 C.9 D. 11

A: Topic = Limit

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

A:

Q: Find the center of mass of a thin plate of covering the region between the x-axis and the curve y = ...

A:

Q: 6z² + 4z + 84 The partial fraction decomposition of can be written in the form of 3 + 2x2 + 16z + 32...

A:

Q: n (n+1) (2n +1) 2. Find the sum (k+4)2, hint use use this formula and subtract out the 1, 2 ,3, and ...

A: Explanation of the answer is as follows

Q: Factor the following expression completely: bw – 14w³ – 12w? %3D

A: Given Data: 6w4-14w3-12w2

Q: To find the General Solution, we match each part of our Differential Operators to the table below, w...

A: option D

Q: Forms of Summation Notation 7. Sum of the product of a variable: E(x; y;)= x1 Y1 +X2 •Y2 +...+x, •Yn...

A: We have to determine the sum of product

Q: dy VE (1 + y?/7) 21

A:

Q: Given the first-order differential equation as below: (x² +3y +5)dx + (6xy + 6y +3)dy = 0 (ii) Calcu...

A:

Q: Which of the following is not in the domain of tan(x)? Select all correct answers. Select all that a...

A: Given that: f(x)=tanx

Q: evaluate the trigonometric function of the quadrantal angle, if possible. 38. csc

A: Given,            csc3π2

Q: x* + x³ + x² – x + 1 x(x² + 1)²

A:

Q: a. Y= x* + 1 а. a²x b. Y = a²+x?

A: Follow the procedure given below.

Q: Determine if the given function is a continuous on each of the given intervals. A. f(x) = 3x³ + 4x² ...

A:

Q: In Exercises 33-36, the terminal side of 0 lies on the given line in the specified quadrant. Find th...

A:

Q: What is the derivative of the following function

A: Given that: 1. h(y)=y1-ey2. f(t)=1+5tln(t)

Q: 1) Consider the graph of the function f(x) = 5x -8x a) Find the slope of the secant by sketching a g...

A:

Q: Let f(æ) = sin(x) and g(æ) = x² . Find (go f)'(x) O 2sin(x)cos(x) O 2xcos(x?) -2æcos(x?) 2xcos(x)

A: Given that f(x)= sinx and g(x)=x2. And we find (g0f)'(x). We know that d(xn)/dx = nxn-1.     Here i ...

Q: 4) metabolic rate (kcal/h; tog scale) Biologists often investigate relationships between properties ...

A:

Q: Find the equation of the line tangent to the graph of f(x) = (In x)4 at x = 5. (Type your answer in ...

A: Given that: f(x)=(lnx)4

Q: An open-box with a square base is to have a volume of 500 cubic inches. The material for the top and...

A:

Q: On the graph of f(x) = cot x and the interval 27,47), for what value of x does the graph cross the -...

A: We can find the answers as below

Q: Find the domain and range of the function. Use interval notation to write your result. f(x) = sqaur...

A:

Q: State the property presented 10 + (4 + 11) = 10 + (11 + 4) a. commutative property b. associative...

A: Here is given that  10+(4+11)=10+(11+4)

Q: (x² +3y² +5)dx +(6xy+ 6y+3)dy = 0 Identify the exactness of the differential equation. Calculate the...

A:

Q: Determine if the given function is continuous on each of the given intervals. A. f(x)=3x³+4x²-x+6 1....

A: This question is related to Functions, we will solve it using given information. 

Q: Given the differential equation y" - 2y' - 15y = 3x + cos(5x) (1) Find the combined differential ope...

A:

Q: A cable is to be run from a power plant on one side of a river 900 meters wide to a factory on the o...

A:

Q: 2. A particle of unit mass moves so that displacement aftert seconds is given by x = 2 cos (t - 2). ...

A:

Q: Use the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral for th...

A:

Q: Find all the local maxima, local minima, and saddle points of the given function. f(x,y) = 2x2 + 3xy...

A:

Q: Which of the following is not in the domain of sec(x)? Select all correct answers. Select all that a...

A: Let f(x)=sec(x) The domain of f(x) is: x∈ℝ-π2,kπ, k∈ℤ