Express the following expression trigonometric ratio and the evaluate to an exact value.(: 5- as a single 8cos2(T/6)- 4

Q: Give a recursive definition for each of the following. (You don’t need to prove your definitions are...

A:

Q: n (-1)³n n4 + 1 n=1

A:

Q: WITHOUT a calculator, identify VERTEX form, STANDARD form, AND FACTORED FORM. Then use the three for...

A:

Q: A farmer plans to enclose a rectangular pasture adjacent to a river (see figure). The pasture must c...

A: We are try to optimize the fencing which is equivalent to the perimeter of the 3-sided "rectangle" p...

Q: et {an} and {bn} be sequences such that an b.

A: The given Statement is false if xn   is a convergent sequence of real numbers and if xn ≥ 0 ∀ n then...

Q: 4. Let X be an ordered set, and A C X . Show that (a) For every x, x has at most one immediate succe...

A:

Q: E Valua te ?. 1x+2y) dx dy when 2,

A: A multivariable function f(x,y) is a rule used to associate or fix a number to a particular point x,...

Q: The graph below belongs to a rational function f(z) = p(z) with horizontal and vertical asymptotes y...

A:

Q: If the difference between two numbers is even, then the numbers are both even. Find a counterexample...

A:

Q: In problems 6 - 10, determine if the given series is convergent. Use ratio test, altermating series ...

A: Note: We are entitled to solve only one question at a time. So, we are doing only problem 6. Please ...

Q: 2. Solve 3x² +10=-26

A:

Q: Haw.y If the directionl derivative Valne ( Du f) of the function flx,4) = x-3xy +uy 4t Paint (-2,0) ...

A:

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industri...

A: The volume of the cylinder is =πr2h The volume of the two hemisphere =43πr3 Here r is the radius and...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: e the elgen và equal to

A:

Q: Translate the following statements into symbolic form using the fol. of abbreviations: P: God is all...

A: Introduction: A truth table in Boolean algebra is a table that shows the true value of a statement f...

Q: Calculate the cross product assuming that u x w = (-8, -1, -5) (5u + 3w) x w =

A: Solution 

Q: Find the volume of the solid of revolution obtained by rotating the region bounded by y =r³ +1, r 1 ...

A: Volume is the measure of the amount of space occupied by a closed surface. The equation for the volu...

Q: Find the solution of the following Differential Equations w... 10) y+y'-2y= 3e" 12) y-y=e"

A: Solutions   

Q: Find the point on the graph of z = f(x,y) =x+ y closest to the point (2,2,7). You must show a functi...

A: Given : z=fx,y=x+y2,2,7.

Q: 3. Evalnate. the.allowing.deuale.integral.by.conver.ting.bo. polar.Cta.r.dinates Co.fxdxdy Anse 3.6....

A:

Q: find max ., min. and saddle points for the following functions: e f = 4x - 6xy +5y" -20x +26y

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you...

Q: Find all solutions of the given system of equations and check your answer graphically. HINT [First e...

A: We have find the all solution of given system of equation and check answer by graphically.

Q: 6s² +26s + 26 r Example: Given F(s)= determine f(t). (s+1)(s+2)(s+3)

A:

Q: Maximise -x2 + 0.4x - y2 + 0.2y using only points within the sphere x² + y < 1 . What is the value o...

A:

Q: Let E be the solid enclosed by the sphere æ² + y² + (z – 3)² = 9 above the plane z = 2. The volume o...

A:

Q: Determine the length of the curve x = 3y2 -1 between y = 0 and y = 4 3/2

A: The given curve is x=3y32-1 We will find the arc length of the curve between y=0 and y=4

Q: Graph the exponential function g (x) = To do this, plot two points on the graph of the function, and...

A: By definition, a function is a special case of a relation between the members of two sets. It is a r...

Q: Find an equation for the tangent plane and find the parametric equations for the normal line to the ...

A: Introduction: Like a curve, a surface can also have the tangent and the normal at a point. The slope...

Q: Show that the following function f is a separation convex. (Hint: Show that it is a separated form a...

A: To Show- Show that the following function f is a separation convex. fx, y, z = 3x2 + y2 - 2x + y + 5...

Q: E Valua te : Lス+ュ)x Jy

A: This is a problem of double Integration, calculus of several variables.

Q: Solve the proportions word problems: 1) A basketball team wins 7 of its first 12 games. How many gam...

A:

Q: Q2 Given is the matrix а 2а a A = 1 a 1 a a 1 where a is a parameter. First determine the determinan...

A:

Q: 5. Solve the equation SHOW YOUR COMPLETE AND CLEAR SOLUTION. (y')² + (x - 2r ) y' + x- - xt = 0 X - ...

A: We will use only the basic knowledge of differential calculus to answer this question properly, in d...

Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms....

A:

Q: The revenue each season from tickets at the theme part is represented by tox) = 5x The cost to pay t...

A:

Q: 3-7. If L[x(t)] = X(s), find: (a) L[*(t)] when X(s) 2 and x (0) = 2 MATHEMATICAL TECHNIOUES (b) L[x(...

A: Introduction: The Laplace transformation of derivatives and integration of a function is very useful...

Q: by Newton- s was chose only. The v iteration A

A:

Q: H.W.3In what direction is the derivativeof at P) equatte Zcke.

A:

Q: 3. Use De Moivre's Theorem to find the identity of the following: a. cos 80 b. sin 90 C. cos 100 d. ...

A:

Q: Which of the following is a subspace of p2? O a. R2 x, e R W = Зх, + 1 1. Ob. W = ER| x*2 2 0 C. ER?...

A:

Q: 3. Evalnate. the. fallowing.deuble.integrals.by.conver.king.b. polar.Cto.r.dinates. Ans: 3.6. C.... ...

A:

Q: Given the differential equation and its initial conditions y" + y' = 12 + 2 with y(0) = 1 and y'(0) ...

A: Take the Laplace transform on both sides of the differential equation.

Q: Given is the matrix -(:) а а 2а A = 1 a 1 а а 1 where a is a parameter. First determine the determin...

A: Given matrix is A=aa2a1a1aa1 det(A)=aa2a1a1aa1=aa-a-a(1-a)+2a(a-a2)=0-a+a2+2a2-2a3=-2a3+3a2-a    

Q: Q1 1 u2 uj 2 Given are the vectors and Span{v1, v2} a) Determine if these vectors are in the linear ...

A:

Q: Find L{f(t)}. (Write your answer as a function of s.) (t) = et + 2 L{Rt)} = (s > 1)

A:

Q: If 2 Au = -3 and Av = 4 then A(3u + 20)

A:

Q: Which of the following subsets of R* is basis of R*. B1 = {(1, 0, 0, 0), (1, 1, 0, 0), (1, 1, 1, 0),...

A:

Q: 2- Pind fxx, fr and fxy for the following: 1,6+,メ)レ7 f = tań'c tan cx +y) f = e C。s(メ-y)

A:

Q: 3. Find the dimensions of the right-circular cylinder of greatest volume that can be inscribed in a ...

A: This is a problem of the Application of differentation.