Not a basis because ( - 1 . - I] and { 1 , 1 ] are linearly dependent

Q: Find the limit. (If an answer does not exist, enter DNE.) lim θ→0  sin θ 5θ + tan θ Could yo...

A: To find the limit

Q: Find the domain of the rational function f(x) =x/(x2 - 16) and graph the function.

A: The given function is :  

Q: Let A1x2 be the area of the region bounded by the t-axis and the graph of y = ƒ1t2 from t = 0 to t =...

A: a).

Q: Find the surface area generated by rotating y=(1/3)x^3 bounded by y=0 , x=0 , and x=9 about the the ...

A:    

Q: Consider the following vector function. r(t) = (2t2, sin(t) –t cos(t), cos(t) + t sin(t)), t> 0 (a) ...

A:

Q: 12.a) Given f(4)=5, f'(4)=7, use the tangent line of y=f(x) at the point x=4 to approximate f(4.02)....

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: Solve the equation for x algebrically

A:  

Q: d In(tvt2 + 4 dt d de Isec(9²)]

A:  

Q: Find r(t) if r'(t) = t4 i + e' j+ 3te3t k and r(0) = i +j+ k. %3D r(t) =

A: Given, A vector r'(t) = t4i + et j + 3te3t k and  r(0) = i + j + k.  

Q: Find the derivative of the function.

A:

Q: i would really appreciate your assistance for (a) and (b).

A:

Q: verify the property

A:

Q: 2. Give the general solution of xy'dy = (x³ +y³)dx in explicit form.

A:

Q: In Exercises 19-40, calculate the derivative.

A:

Q: Find the value of the objective function z = 3x + 2y at each corner of the graphed region. What is t...

A:

Q: Tangent planes Find an equation of the plane tangent to the following surfaces at the given points.

A:

Q: Let f(x) = a? - 4x. %3D (A) Find the slope of the secant line joining (1, f(1)) and (7, f(7)). Slope...

A: Given function We need to find the slope of the secant line joining We need to find f(1) and f(7) ...

Q: How would I go about solving this practice problem? 1. Identify the basic integration formula you ca...

A:

Q: Use the given graphs of f and g to evaluate the expression (f og)(0). yA

A:

Q: In Exercises 1 and 2, compute u + v and u 2v.

A:

Q: (1 point) Let f(x) = x² – 6x and g(x) = x – 6. Evaluate the following - %3D 1. (fo g)(x)= 2. (go f)(...

A:

Q: limit as x approaches infinity of (x+sqrt(x^2 + 8x))

A:

Q: The graph of f(x) = -2(x + 4)2 - 8 has one y-intercept and two x- intercepts.Determine whether the s...

A: Consider the given function: Here the objective is to determine whether the given statement is true...

Q: Find general solutions of the differential equation  (2x+1)y'+y=(2x+1)^3/2

A: Consider the differential equation:

Q: picture is easier to explain! thanks so much

A:

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the gra...

A: Now set denominator equal to zero and find the value of x 

Q: Determining limits analytically Determine the following limits. 1 1 a. lim S2 Vx1x – 22 b. lim xS2 V...

A: (a) To find the limit as x approaches 2+ means, x approaches 2 from the right side or x - 2 >0 H...

Q: Using Taylor polynomial of degree 6 centered at 0, find what best approzimates 2ln(x^2+1).

A:

Q: question 5

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Q: In Exercises 25–30, find the distance between points P1 and P2.

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Q: Find the following limits or state that they do not exist. Assume a, b, c, and k are fixed real numb...

A: Given limit:

Q: a) Find the point on the graph of y = sinh x at which the tangent line is parallel to the line throu...

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

Q: find the slope of the curve at the point indicated y = 5x - 3x2, x = 1

A:

Q: Verify that the expressions for the volumes of the first four shapes in Fig. 5.21 are correct.(Refer...

A:

Q: find the first and second derivatives y = -x2 + 3

A: The given function here is, The first derivative of y is given by, Thus the first derivative of y ...

Q: Given the following acceleration function of an object moving along a line, find the position functi...

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Q: sketch the solid whose volume is given by the iterated integral. Then rewrite the integral using the...

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Q: Determine whether the graph of the given equation is symmetric with respect to the y-axis, the x-axi...

A: Consider the following equation:

Q: definition of tanhx=(e^x - e^-x) / (e^x+e^-x)what is limx->0 tanhx? l hospitals rule is followed?

A: L’Hopital’s Rule: L'Hospital's rule is used to evaluate indeterminate forms of limits. It states tha...

Q: Fill in each blank so that the resulting statement is true.

A:

Q: Compute the derivative of f(x) = (3x² – 1)1/4. %3D - O (6x – 1)!/4 a(322 – 1)5/4 O 3 2*(3x² – 1)-3, ...

A:

Q: Lim e^x +e^-x-x²-2/sin²x-x² when x approaches 0

A: The given limit is, This limit is in 0/0 form, so we can apply L’Hospital's rule,

Q: Find the limit. (If an answer does not exist, enter DNE.) sin 0 lim 0-0 20 + tan 0

A:

Q: Suppose that  0 < c < pie /2 . For what value of c is thearea of the region enclosed by the cu...

A: Here the objective is to find the value of c.

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.