[2 A = [3 [4 7 B = 2.

Q: Using radian measure, I can always find a positive angle less than 2π coterminal with a given angle ...

A: Using radian measure, I can always find a positive angle less than 2π coterminal with a given angle ...

Q: Equations of tangent linesa. Find an equation of the line tangent to the given curve at a.b. Use a g...

A: Given: The curve y=ex and the point a=ln3 To find: The equation of the line tangent to the given cur...

Q: Determine the amplitude, period, and phase shift of the function. Then graph one period of the funct...

A: We have to determine amplitude, period and phase shift if the function then we have to draw the grap...

Q: Technology is now promising to bring light, fast, and beautiful wheelchairs to millions of people wi...

A: Given: Fixed cost for producing wheel chairs= $ 500,000 cost $400 to produce each wheelchair Each wh...

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is in...

A:

Q: Given g = and b = , find g – b and |g| – 6. Give EXACT answers. You do NOT have to simplify your ra...

A: To find why the two answers are different 

Q: Show that lim x sin l/x = 0.                   x→ 0

A: It is known that the absolute value of sine function is not greater than 1, then  -x≤xsin1x≤x

Q: The price of a bottle of French perfume, found by multiplying the unit price of the perfume in euros...

A: Given that,  A French perfume bottle having volume in millilitres.  Price of the French perfume is d...

Q: Identify the equation of the plane shown below: y Oy =0 Oz = 0 Ox = 0

A:

Q: Use the vertex and intercepts to sketch the graph of the quadratic function f(x) = (x - 1)2 - 2. Giv...

A: To determine :  Using the vertex and intercepts to sketch the graph of the quadratic function f(x) =...

Q: Find the derivative of the function y=x22−2x2.

A:

Q: Evaluate the integrals ∫ 1/cos 2θ sin θ dθ

A: Solution:- The given integral is  I=∫1cos2θsinθ dθ

Q: Computing directional derivatives with the gradient Compute the directional derivative of the follow...

A: Given: f(x, y) = xx-y ; P(4, 1) ; -1, 2 To find: Directional derivative of the given function.

Q: Graph both equations in the same rectangular coordinate system and find all points of intersection. ...

A: Given (x - 2)2 + (y + 3)2 = 4                       y = x - 3

Q: A woman invests $6500 in an account that pays 6% interest per year, compounded continuously.(a) What...

A: Compound interest: A woman invests $6500 in an account that pays 6% interest per year, compounded co...

Q: An integrand with trigonometric functions in the numerator and denominator can often be converted to...

A: A: dx=21+u2du Consider, x=2tan-1u Differentiating with respect to x, we get 1=2·11+u2·dudx      ∵dta...

Q: Evaluate the integral.

A: Given that : The integral is  ∫ x3 - 2x2 + x + 1x4 + 5x2 + 4 dx  .  

Q: Draw a diagram to show that there are two tangent lines tothe parabola  y =x2 that pass through the ...

A: Given: The parabola y=x2pass through the point 0,-4 

Q: For each part, type your answer in as a fraction. Do not use a decimal or round your answers. If sin...

A:

Q: f(x) = √x; x = 1, x = 4. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find the s...

A: fx=x⇒fx=x12 a. Differentiating with respect to x, we get f'x=dx12dx=12·x12-1     ∵dxndx=n·xn-1=12·x-...

Q: Suppose that z is inversely proportional to y, and that z = 12 when y =16. Write an equation that ex...

A:

Q: List the quadrant or quadrants satisfying the condition : xy > 0

A:

Q: A person starts walking from home and walks: 3 miles East 3 miles Southeast 3 miles South 1 miles So...

A:

Q: express the given quantity in terms of sin x andcos x. sin (2π - x)

A: expression in cosine and sine form of sin2π-x We used identity:  sinA-B=sinA cosB-cosAsinB

Q: Find inequalities that describe the solid and state the coordinate system used. Position the solid o...

A: From the given hypothesis we clearly drawing a circle with centered at origin and with diameter is 6...

Q: Use properties of limits to find the indicated limit (as shown). It may be necessary to rewrite an e...

A:

Q: Limits Evaluate the following limits or determine that they do not exist.

A: We have to evaluate the limits: limx, y, z→2, 2, 3x2z-3x2-y2z+3y2xz-3x-yz+3y Putting x=2, y=2 and z=...

Q: Given g = and f = , find g – f. ġ – f = {

A:

Q: Find the critical number of f(x) = 3x^2 - 18x + 4

A:

Q: 12 +x the absolute extrema of the function f(x) = on the interval [4,6]. 12 -x absolute maximum occu...

A:

Q: Let k be a fixed positive integer. The nth derivative of 1/(xk − 1) has the form Pn(x)/(xk − 1)n+1 w...

A: Given: nth derivative of 1xk-1=Pnxxk-1n+1 Find: Pn1

Q: Evaluate the definite integral.

A: Solution: Consider the given definite integral is I =  ∫12xx-1dx Put x-1 = u then du = dx and when x...

Q: Compute dy/dx for y = log3 x

A: Our Aim is to calculate dydx for the function given below:-y=log3(x) -(i)

Q: find the general solution of the given equation. d2y/dx2 + 4 dy/dx + 4y = 0

A: d2ydx2+4dydx+4y=0 The auxiliary equation is, r2+4r+4=0⇒r+22=0⇒r=-2  

Q: use l’Hôpital’s Rule to evaluate the limit

A:

Q: A ladder 25 feet long is leaning against the wall of a house. The base of the ladder is pulled away ...

A: The idea here is that the ladder always makes a right triangle with the wall and the ground . And th...

Q: Solve  y" - 9y' + 18y = 0

A:

Q: Find the derivative of f(x)= ln x^2/x^2+1

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.