B- for the function below, the domain and the range is respectively -2+√1-x (-∞0,00) & [-2,00) [-2,00)&(-00,00) is it is [-00, ∞o) & (-2,00) [-∞0, ∞]& (-2, 0) the O a

Q: 14. Find the area of the curve p2 r² = 16 cos 20

A: Find the area of the given curve

Q: Consider the following graph y = p(x) and answer the questions which follow. P 3+ 3 -3 & -3+ a.…

A: topic- limits and derivatives of a function

Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function, f(x)=4x3-6x2-10x+1

Q: find the transpose of the matrix A C = 3 5 2

A:

Q: x³ + 3x² + x +9 3 (x² + 1)(x² + 3) s dx

A:

Q: For the function y = f(x) = x² – 2x, x x ≥ 1, find (ƒ-¹) '(3) = df-1 dy y=3

A: We have to find the f-1'(3).

Q: Q2) A Differentiate the following ( 1)y= [(5x) (4- 2x)]²

A: As per bartleby guidelines we only give first question answers.

Q: Solve the given differential equations: dy 1. 2+y² dx

A:

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A:

Q: Numerical Integration. Use the table provided for the integral to find the given Round each…

A:

Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

Q: 5. Find the volume of the solid generated by revolving the area of a circle: (x - 2)² + y² = 4;…

A: In this question, we need to find the volume of solid generated by revolving the area of the given…

Q: b. lim a-1 ²ln(1-x) X -dx

A: Given

Q: Cameron invested $2,890 for 225 days at a simple interest rate of 3.75% p.a. How much more or less…

A:

Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

A:

Q: Ive the following problems on a separate sheet of paper showing the 8 steps. A cylindrical tank of…

A:

Q: π 2 00 sin³¹(0) cr S' 0 rdr dedz

A: We have to evaluate the given integral.

Q: Find the following. f(x)=√x216, g(x) = x² x² + 1 (a) (f+g)(x) = X (b) (f- g)(x) = (c) (fg)(x) = (d)…

A:

Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: Here we need to estimate the area under the curve using two and four rectangles.

Q: Question 1. Tangent and Velocity Problems Exercise 2.1, Problem 3. I need answer part b and c only…

A: Slope of a secant line is =( f(x2)-f(x1))/(x2-x1) we have to find the the slope of the tangent line…

Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of xo will the solution…

A: Given

Q: c- Show that the following limit does not exist (x² - y²) lim (x,y)-(0,0) x2 + y² 2

A: Given ; lim(x, y) -(0,0)[(x2-y2)/(x2+y2)]2.

Q: Find a particular solution yp of the following equation using the Method of Undetermined…

A: answer is in next step.

Q: Find all Singular points of the given differential equation then classify as Irregular Singular…

A:

Q: 小 7) In x √x - dx

A: I have stated the used formula in the solution

Q: - be to your advantage to simplify first.

A:

Q: Find the "actual" solution (x,y) for the following problem. max_x2y² subject to 2x + y ≤ 2 x20,y20…

A: Given:    2x+y≤ 2 , x≥0 , y ≥0    Max - x2y2

Q: ) Calculate the indefinite integral using Partial Fraction Decomposition. X Sax- dx (x-2)(x + 1)2²…

A:

Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…

A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24     , here b,c∈I If p is a zero of that…

Q: Solve the first-order differential equation dydt=ay with the initial condition y(0)=5 Specify the…

A:

Q: dy dx x3 2+y²

A:

Q: Find and simplify the expression if f(x)=x²-12. f(4+h)-f(4) f(4+h)-f(4)=

A: Given problem:- Find and simplify the expression if f(x)=x2-12.   f(4 + h) - f(4)

Q: Find the Laplace transform for e¹t (t² + 3t+5)

A: Given e4t(t2+3t+5)We need to find the laplase transformApply transform ruleif L{{f(t)}=F(s) then…

Q: Find the horizontal asymptotes f(x) = = Justify your answer. 5x3 √9x6 + 4x² − 1

A: topic- horizontal asymptotes

Q: 2. For the following problems, determine the area of the region between the two curves in the given…

A: The simple integration..

Q: A) Evaluate the following integral dx (x - 1)(x-2)(x − 3) - , 10 points

A:

Q: Calculate the derivative of the function below using the quotient rule. 2x ม 5x + 3 f(x) = and g(x)=…

A: Quotient Rule : If  y = f(x)g(x)  then  y' = g(x)·f'(x)-f(x)·g'(x)g(x)2.

Q: A uniform magnetic field B has constant strength b teslas in the z-direction [i.e., B = (0, 0, b)]…

A: We have to verify that A =12B×r is a vector potential, where r = x,y,0     Given that B = 0,0,b…

Q: Consider the initial value problem x' = 4x², x(0) = x0. For what value(s) of co will the solution…

A:

Q: ✓ z Find J 1+sin -cos COS In sin 2+cos z 1+sin-z In | In 1+cos - 2 1+0 +C +C +C

A:

Q: Problem Solving 1. For the following problems, determine the area of the region between the two…

A: Solved below.

Q: et z = 6ex²y³ find O 12xy³ex²y³ O 18x²y²ex²y³ O 18xy³x²y³ O 12x²y²ex²²³ дz ax

A: Given, z=6ex2y3

Q: Evaluate the following - ² (x − 1)(x − 2)(x-3) integral

A: Given problem:-

Q: Solve the following initial value problem. y" - 2y' + 2y = 7x+1; y(0)=3, y'(0) = 0 The solution is…

A: We can solve the differential equation.

Q: find C= A.B for the following matrices [3 5] 4-2 18-[21] A = ;B

A: Topic = Matrix

Q: Consider the function f (x) = x3 −3x2 + 2. Find f ′′(0) and f ′′(2). Deter- mine whether the…

A: topic- derivative of a function

Q: Evaluate fx cos² 2x² dx

A: Given: I=∫xcos22x2dx   ...1   As we know the common integral. ∫cosax+bdx=1asinax+b+C

Q: 3. A factory selling phones has a marginal function C(x) = 0.01x²-3x+229, where x represents the…

A:

Q: A stone is dropped into a still pond. Concentric circular ripples spread out and radius of disturbed…

A: Here we have to use the concept of the derivatives

Q: What are the domain, range, and period of the function f(0) = -2cos = -2cos ( - - - 0) + 1₂

A: Let's find domain and range for given  function.