#13. Multiply (4.7 x 105) x (5.2 x 10-11) using scientific notation. Leave your answer in scientific notation. Show all of your work.

Q: 3. Let E= (0,1}. TRUE or FALSE (with explanation): (01) = 01.

A:

Q: (t + 2)°y" + 3(t + 2)y' +y= 0, 1>-2, V1 = (t+ 2)

A:

Q: Evaluate 6z ds where Cis the curve y = -72² from (-1,-7) to (1, -7). Enter the scalar line integral…

A: To evaluate ∫C6xds where C is the curve y=−7x2 from −1,−7 to 1,−7.

Q: What are the other cases of Transformation of Trigonometric FormulaS (please also include the…

A:

Q: Consider the angle shown with an initial ray pointing in the 3-o'clock direction and the terminal…

A:

Q: Problem 5. State which of the following sets are finite and which are infinite: (i) A = {x : x e Z…

A:

Q: Consider the following. u = (-2, -6, –7), v = (-8, 1, 9) (a) Find the projection of u onto v. 212 53…

A: Vector Projection of  u onto v projvu=u.vv2v Where u.v is a dot product between u and v and v is…

Q: Find the effective rate of interest corresponding to a nominal rate of 6% compounded semiannually.

A:

Q: Solve the following IBVP using appropriate extensions of the functions o and w: x > 0, t>0, u(x, 0)…

A: The partial differential equation given is as follows: utt=uxx,  x>0, t>0 The boundary…

Q: -w.4 Find the Volumes for the fallowing solids heishts are defined by ZCX,y) and bases are the…

A: Volume bounded by xy-plane

Q: 25. Let B = {b¡, b3} and C = {c1, c2} be basis for R². Find the change-of-coordinates matrix for B…

A:

Q: For the function given below, find a formula for the Riemann sum obtained by dividing the interval…

A: Solution

Q: 21. The set B = {1+t°,t+t²,1+2t + 2°} is a basis for P2. Find the coordinate vector of P(r) = 1+4t +…

A: The given question is related with linear algebra. Given that B = 1 + t2 , t + t2 , 1 + 2t + t2 is a…

Q: of 1 Volume: V= s Surface Area: S = 6s? Surface Area Volume Ratio (Now/Original) Scale Surface Ratio…

A: Mensuration deals with the measurement of areas and volumes of plane and solid figures. Solids are…

Q: where F(r, y, z) = 3yzi + zzj + 3ezk and C is the circle ? + y? 1, z = 4 oriented counterclockwise…

A:

Q: Determine if the function below is a bijection or function.

A: Given function is f(x) = 3|x| + 5

Q: Find the constants m and b in the linear function y = f(x)= mx + b, such that f(1) = -2 and f(3) =…

A:

Q: Given: Arg(Ln(z)) = 3 (radians) and z| = 70. Find S = Im(z) + Re(2) roblem 4 For x, y, z E IR 5x +y…

A: Given: Problem 3: ArgLnz=3 and z=70. Problem 4: For x,y,z∈ℝ, 5x+y+z=0 2x-2y+2z=0 3x+3y-z=0 xyz=-48…

Q: Select from the subsections the option that presents the integral that is obtained by correctly…

A:

Q: Prove and show complete solution: Let ƒ be defined on an open interval (a, b) and assume that for…

A: please comment if you need any clarfification. If you find my answer useful put thumbs up. Thank…

Q: dx = 3x + 2y + 4z dt dy = 2x + 2z dt dz = 4x + 2y + 3z dt

A: Consider the given system of equations, dxdt=3x+2y+4zdydt=2x+2zdzdt=4x+2y+3z In the matrix form it…

Q: Can I a-convert the expression (Ax.Ay.x y) y to (Ax.Ay.x y) z? Explain briefly why or why not.

A: To determine and explain: Whether the expression λx.λy.x y y can be α-converted to λx.λy.x y z.

Q: A 10-foot ladder is standing vertically against the side of a building. To show you a related rates…

A:

Q: Problem 2) Minimize M2 (1) subject to 2M1 – M2 +320 (2) M1 + M2 2 2 (3) M2 2 M1 20 (4) a) Apply the…

A: Sol

Q: 1. Find the Laurent series that converges for 0 < ]z| < ∞ for the function sinh 2z z2

A:

Q: A phone company charges customers a fixed 40 dollar service fee plus $0.10 per megabyte of data…

A: Given that, A phone company charges customers a fixed 40 dollar service fee plus $0.10 per megabyte…

Q: Determine the drag coefficient ca needed for a parachutist of mass m = 68.1 kg to have a velocity of…

A: (a) The equation given is as follows:…

Q: -S Integrate the fallswing funChinin ver the given re R: y24x-x and y ex

A: Volume bounded by xy-plane

Q: 5. Let f : R → R be defined by f(x) = { 0 if r € Q, x2 otherwise. Prove that f is continuous at 0…

A: Here we prove the problem using the definition of continuity and a theorem.

Q: 2. Find the Mclaurin Series expansions of cos(x) + sin(x) up to Tenth order.

A: We have to find the Mclaurin series of cos(x) + sin(x).

Q: Find inverse laplace trans Sorm -25 FES)= e S(s +4)

A:

Q: 3.18 Suppose if x = 0, f(x) = if z e (. where n e N. Prove: f € R[0, 1], even though f has…

A:

Q: F-dr in the case when F(z,3) = (7y-e sin (3) + 8)i+ (7z -e cos (3)jis conservative. and Ais the…

A:

Q: Theorem 11.3.5. The Weierstrass-M Test Let (fn)-1 be a sequence of functions defined on S C R and…

A:

Q: QUESTION 9 Find the values of a, b, c, and d in the matrix equation below. a b 10 11 3 4 +2 56 %3D с…

A:

Q: It is known that f(x) = In(2 + x) a. Write down the 5 nonzero terms of the Taylor series around the…

A:

Q: Compute the flux of the vector field F = zi + 8xj through the parameterized surface S oriented…

A: We have find the flux of the given vector field through the parameterized surface S oriented upward.

Q: Denote that G is a parametric curve x(z) = z2-z-2 y(z) = z²-=2+z Calculate whether if G is concaving…

A: Sol

Q: 2k 2 x dx equal lim E|1+ k=1'

A:

Q: A continuous – time system is represented by the following differential equation, d²y(t) dy(t) + 7…

A:

Q: Question 1-4 Which of the following describes the translation of fr 1 +22 I-3 O Translate f(x) 2…

A: Given f(x) = 1x and g(x) = 1x-3 + 2

Q: An investor has $120,000 to invest in bonds. Bond A yields an average of 5% and the bond B yields…

A: Note: We are solving the question by supposing x = dollars invested in bond A and y = dollars…

Q: If possible, find the Boo below. If not possible state so. [O 1 0 A = |1 0 0 Lo 1 1

A:

Q: Steve and Claire are married, and both lived and worked in North Carolina for the entire 2013 tax…

A: Given that, the gross income is $78,000, the standard deduction is $6000 and exception per person is…

Q: Determine the drag coefficient ca needed for a parachutist of mass m = 68.1 kg to have a velocity of…

A: (a) The equation given is as follows: vt=gmcd1-e-cdmt........................................(1)…

Q: According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed…

A: Let S be the sample space and E be the event in S.  The probability of the event E is denoted by PE…

Q: Which graph represents the gradient vector field of f(z,9) = Sz + y

A:

Q: For a Subject, with a body mass of 75 Kg and a height of 1.70 m, who suffered an accident and lost…

A: Soluion

Q: Exercise 14.5.3. Using “switchyard", we proved that S, is generated by the permutations (12) and…

A:

Q: I(m)r(n) Г(m + п) В(т, п)

A: The solution is given as