Skll Practice 4 Muliply and simplify. Assume that all variable expressions represcnt positive real mumbers. a. (4Vi + 10)3vi - 8) h (3V7 - V3X3v + v5) - (ty - Vay

Q: Use the formula for the value of an annuity to solve:To save money for a sabbatical to earn a master...

A: The initial deposit is $2000 The rate of interest is 7.5%

Q: What is the derivative of y = (a^3 - 25)/ (a^2 +5a +25)

A:   we have to find the derivative of the given expression    the given expression is  y=(a3-25)(a2+5a...

Q: L Find the denivative..cftr b. Zit).=(sin t).í.+- -1 %3D !! ...

A:

Q: Anton -Pap Escel in MathematiceGrade 10 ( (a) In the space provided below, construct a triangle ABC ...

A:

Q: Find the equative of the fall wing £unctions f(x)= 2 tani! (x) –7*

A:

Q: Evaluate the following limit or explain why it does not exist. do not use L'Hopitals Rule

A:

Q: Find the sum of the first ten terms of the sequence:                  5, 10, 20, 40, . . . .

A:

Q: Find the generd solution of the D.E. and Lind the Particular solution y6)=34 sketch the graph of Par...

A:

Q: 10. The table shows the position of each runner relative to when the first place finisher crossed th...

A: Finishing a race and the positions of the runner are relative to each other.

Q: 7. For the following, determine a. intervals where f is increasing or decreasing. b. local minima an...

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining...

Q: EXAMPLE 1 Using the Strategy Find two numbers whose sum is 20 and whose product is as large as possi...

A: Given sum of two numbers be 20

Q: It takes 90 J of work to stretch a spring 1 m from its equilibrium position. How much work is needed...

A:

Q: Torus shaped water tube is designed with the volume 750 in, if you our given the volume and the surf...

A:

Q: Solve this calclus

A: Consider the given equation of curve, y=x2 Let the equation be given by, ∅x,y=y-x2 The directional d...

Q: PCx g) - Sin (zy)- Cosx'+x*y? %3D find d'f df dye' de dy

A: Given function is  f(x,y) = sin(x,y) - cosx^2 + x^2y^2   

Q: Find the generd solution of the D.E. dy +7xdx and Lind the Particular solution y6)=34 sketch the gra...

A: Given differential equation dy+7xdx=0 ⇒dy=-7xdx taking integration on both sides

Q: Piecewise-Defined FunctionsGraph the functions in Exercises 25–28.

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Write a formula for the general term (the nth term) of the sequence 3, 6, 12, 24, . . . ; a10. Then ...

A: The given sequence is 3,6,12,24,......we have to general sequence

Q: Q1: Find for the following function: dx Vcos(x) · tan(x) 1+ 3lnvx 6. %|

A: We have to find derivative

Q: Selected values of f(x) are shown in the table below. What is the right c13 Riemann sum approximatio...

A:

Q: Sketch a graph of an odd function f and state how f1x2 and f1-x2 are related

A:

Q: Given that f(x)=x^(2)+3x-70f(x)=x2+3x-70 and g(x)=x+10g(x)=x+10, find f(x)/(d)iv g(x)f(x)-:g(x) and ...

A: Answer

Q: find the domain of each function.   f1x2 = 4/x-1

A: To find: The domain of the function fx=4x-1. Given: The function is fx=4x-1. Concept used: Domain: T...

Q: Evaluate the integral. Sacot*x ox 4 cot x dx =

A: We have to find the integral

Q: Evaluate the following integral. 20 sin 4 x dx 0. 20 sin 4 x dx = %3D 0. (Type an exact answer, usin...

A:

Q: Determining Whether an Equation Is a FunctionDetermine whether the equation y = 2x - 5 defines y as ...

A: To determine whether the equation y=2x-5 defined y as a function of x. Solution: We know that a rela...

Q: 5. Without using a calculator – no decimals Solve for 0 < 0 < 2n : 4 tan 0 + 6/3 = 2/3

A: tan (180-x) = - tan x tan (360-x) = -tan x

Q: Q2: find the unit vectur toword the Curve 9 = x2 at

A: For calculating the unit vector we will have to calculate vector and it's magnitude. The formula for...

Q: Write a formula for the general term (the nth term) of the sequence 2, 6, 10, 14, . . . ; a20. Then ...

A: Given,              2,6,10,14,......,a20

Q: Find the indicated sum.

A: Given: ∑i=1632i=?

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none exis...

A:

Q: b. For what value of (k) is the function y=f(x) continuous at x=3. x3-3x2-4x+12 x + 3 x-3 f(x) = k X...

A: Explanation of the answer is as follows

Q: [2 -1 Let A= 5 2 B= 7 4 2 5 C= 3 3 4 8. Find the matrix D such that CD-AB=0.

A: We have given the matrices A, B, C such that CD-AB=0 We have to find the matrix D

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A:

Q: Find the derivative (dy/dx) of the two questions (e) and (f).

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: s kekh this Lunetion by ming your infimedion in Diforutiaum 2x-1

A:

Q: Express the sum using summation notation. Use i for the index of summation.

A: 13+24+35+....+1820

Q: The intersection of the two planes given by the r. = 5 and () 4 r. 4 = 8 2

A: We have ,  equation of two planes are ,  r.221=5 .............(1)and r.442=8 .........(2)  

Q: find df $(x.g) = Xy+y²-3% X = t- 3t y = 5t3

A:

Q: 2. Find the particular solution for the dy differential equation dx = 2xy and y = 3 when x = 0

A: We will find the particular solution of the differential equation , dy/ dx  = 2xy   .

Q: Q4. Please explain clearly

A:

Q: In Exercises 47–62, say whether the function is even, odd, or neither. Give reasons for your answer.

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first ques...

Q: Activity 2: Let us try to find where a function is increasing or decreasing given the following. 1. ...

A: Given function  f(x)=x3-4x             ....(1)           for x in the interval -1,2.  Differentiate ...

Q: Boyle’s Law Boyle’s Law says that the volume V of a gas at constant temperature increases whenever t...

A: Boyle’s Law Boyle’s Law says that the volume V of a gas at constant temperature increases whenever t...

Q: 1. Write the differential equation that describes the relationship: “The rate of decay of a certain ...

A: If a quantity is A proportional to the quantity B, then we have: A ∝ B      ⇒       A = kB where k i...

Q: H.W: Find the domain of the functions f(x.y): xy g(x, y. ) : %3D -

A: We will find the domain of the Functions  Domain :- The domain of a function is the set of all value...

Q: determine whether the equation defines y as a function of x.   y2 = 4 - x2

A: Given: y2=4-x2

Q: use a graphing utility to approximate the solutions of each equation rounded to two decimal places. ...

A: Given: x4 - 3 = 2x + 1  

Q: Draw Graphs of the sine and cosine functions?

A: The graph of sine function is,

Q: Activity 2: Let us try to find where a function is increasing or decreasing given the following. 1. ...

A: