1/12

Q: (-x X- if x < 0 15) lim X-0 X if x 20

A: Given: limx→0-x     if x&lt;0x        if x⩾0 To Find: The value of the given limit

Q: SOLVE THE DIFFERENTIAL EQUATION STEP BY STEP WITH EXPLANATION FOR ME TO UNDERSTAND PLEASE.

A:  Differential equation is an equation which consists of differential Coefficient in combination with...

Q: Determine a function that would have a graph as in Figure, stating the period and amplitude

A: Given: Determine a function that would have a graph as in Figure, stating the period and amplitude

Q: Assume that p is a function that is defined for all x. (a) Prove that if f is defined by f(x) = p(x)...

A: Let P(x)=cos x which belong to all real no.cos x is a even function

Q: The slope of A VERTICAL LINE is ______

A: We know that slope of a vertical line is not defined

Q: Choose any function of your choice and please be specific and clear  Find the following for your cho...

A: I have provided an answer to this question in step 2.

Q: In Problem,verify that the functions and are inverses of each other by showing that and Give any val...

A:   We have to verify that the functions and are inverses of each other   We have to give any values o...

Q: Evaluate the double integral : (y – 10x) dr dy

A: To evaluate the given double integral.

Q: The length of a rectangle is increasing at a rate of 5 m/s. The width is increasing at a rate of 2 m...

A:

Q: 3. Find the limit, if it exists, or show that the limits does not exist. d) lim (1,y)¬(0,0) xª + y²°

A:

Q: 2. Hove the Follow Statements: (i) The infinmum of a set S ip it exist ,it is unique. 1i) Let AC TK ...

A:

Q: need the solution

A: (a) The reduction formula for ∫sinmxdx is given as the following. ∫sinmxdx=-1msinm-1xcosx+m-1m∫sinm-...

Q: Find the solution of the following ordinary differential equation

A: Given- 1-dydx+y1+x2=0 To find- The solution of the above ordinary differential equation at y0=1

Q: -3 4 Q4) If: (4) = , and [B] is the matrix result from multiplying raw one 5 -1 3 by 2, and adding t...

A: given: A=2-34-47-55-13 and B is the matrix result from multiplying row one by 2, and adding to row t...

Q: Considering the function f (x) = x ^ 4 - 32x ^ 2 - 144 (a) determine, if appropriate, the discontinu...

A:

Q: Consider the following equation: 25x2-4y=100. 1) write the equation in standard form and identify th...

A:

Q: Suppose that the graph of f(x) = x 4 - x 2 is compressed horizontally by a factor of 2 and then shif...

A: Whenever a graph is compressed by a factor a, the function of the graph is multiplied by the factor....

Q: In the given question , use the properties of logarithms to expand the logarithmic expression.   (f)...

A:

Q: Rasmus has 5000 dollars that he wants to invest. His bank has several investment accounts to choose ...

A:

Q: snip

A: Hx=2x2+3

Q: In Problem,find the complex zeros of each polynomial function.Write f in factored form.

A: The given function is fx=x3-1. Compute the complex zeros as follows. fx=0x3-1=0x-1 x2+x+1=0x=1  or  ...

Q: In the given question/ as follows, solve for x accurate to three decimal places?   ln(x - 3) = 2

A: Take anti-logarithm on both sides of equation lnx-3=2. elnx-3=e2x-3=e2 ⋯ (1)  

Q: 2. Find the following. 5 – xy? Zy if z = 3x + Y

A: For a function in two variables, the partial derivative with respect to a variable say x can be calc...

Q: is statistics used to infer the results based on a sample to a population. *

A: Statistical inference consists in the use of statistics to draw conclusions about some unknown aspec...

Q: topic: area between the curves

A: y=x2+5x and y=3-x2we have to find area between the curves

Q: f(t) = V (2t - 1)

A:

Q: write the inequality in the form a &lt; x &lt; b I 2x+ 1 I &lt; 5

A: The inequality will involve a conditional expression such that the operations such as addition and s...

Q: Does the existence and value of the limit of a function f(x) as x approaches a everdepend on what ha...

A: Yes, existence and value of the limit of a function f(x) as x approaches a depends on what happens a...

Q: 2. Sketch the graph of the function (a) f(x,y) = /x2 + y²

A: See the attachment

Q: In Problem,the function is one-to-one.Find its inverse and check your answer.Graph and on the same c...

A: An inverse of a function is literally the reverse of a function. The inverse of a function is also k...

Q: Q: Find the equati on of the tangent and normal to the following curves at the points indicated agai...

A:

Q: 5. Find the following for the function f(x) = x-9x² +24x (a) intervals where f is increasing or decr...

A:

Q: (a) f* (1 – cos 3t) sin 3t dt,

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: When is the line ax+ by = c parallel to the y-axis? To the x-axis?

A:             ax+by+c=0        When a=0, then the line equation becomes               bx+c=0          ...

Q: given that f(x)=x^3+2 and g(x)=x-5 , find f(2) +g(2) *

A: Given that f(x)=x3+2   and  g(x)=x-5 To find f(2) + g(2)

Q: In the given question as follows, find the derivative of the function.   y = x2e-x

A: Given the function y = x2e-x. We need to find the derivative of the given function.  

Q: If f(x, y, z) = In(x7 + y +2)+V + y + z), then find fr, fy and fz at (1, 1, 1). %3D

A:

Q: write the inequality in the form a &lt; x &lt; b I x - 12 I &lt; 8

A: To solve the inequality: |x-12|&lt;8 Solution: We know, the solution set of a modulus inequality of ...

Q: 1. Find the following. Iy(-1, –1) if g(x, y) = x³ – xy² + 3

A: Given g(x,y)=x3-xy2+3 Differentiating g partially with respect to y, gyx,y=∂g∂y=0-x(2y)+0           ...

Q: In Problem,for the given functions f and g , find:

A: Given that, f(x) = 2x  ;   g(x) = 3x2 + 1 We have to find, (a) (f o g)(4) (b) (g o f)(2) (c) (f o f)...

Q: Solve "sin(5x)cos(8x) – cos(5æ)sin(8x) technology 2 [+]. 0.1" for the smallest positive solution, us...

A:

Q: Find the lengths of the following curves: x = 8cos t + 8t sint and y = 8 sin t – 8t cos t, 0<t<n/2 е...

A: Given: x=8 cos t+8t sin t  and  y=8 sin t-8t cos t,  0≤t≤π2 To Find:  The lengths of the given curve...

Q: Use the binomial expansion formula to expand (x + 1 )9 .

A: To expand (x+1)9, use the Binomial expansion formula, (a+b)n=∑ i=0nnian-ibi and substitute a with x ...

Q: Find the following! -1-1 lim 1-1 1-1

A: The limit of the function is the value found when the arguement of the function tends to a particula...

Q: In Problem,the graph of a function is given.Use the horizontal-line test to determine whether is one...

A:

Q: 1- (x².e2). dx

A: First integrate the function: ∫x2e2xdxIntegrate by parts: ∫fg' = fg-∫f'ghere f=x2, g'=e2xf' = 2x,g =...

Q: INSTRUCTIONS: Use the Differentiation Formulas and Rules of Derivatives to find the derivatives of...

A: Since we know that xn=x1n. Therefore, we can rewrite the fx=5x35-x7+9x83-7 as the following. Use the...

Q: Consider the following system of linear equations. - 5x+20y = -35 -6x+28y = -62 Solve the system by ...

A: Here we use reduced row echelon form.

Q: Evaluate the double integral : 2 e2y+z dy dx

A: From the given problem;   I=∫06∫0x2e2y+xdydx .....1   Let,    I1=∫0x2e2y+xdy .....(2) Substitute; x+...

Q: Determine where f is increasing f(x) = x 4

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.