b. -2åx + 3d, - åz 2. If E = -xả, + yåy V/m, find the work involved in moving a unit positive charge on a circular arc, the circle at the origin, from x = a to x = y = a/V2.

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Solution-Lets draw the curve and the lines and identify the bounded area.

Q: / y = = V3y = 1 y = 1-1 (z – 2)² + y² = 4 -4 cos e (a) r dr de sin 8+cos e 4 cose (b) r dr do sin +…

A: To find the double integral in polar coordinates that gives the area of the shaded region in the…

Q: The following function has boxes with missing values. Write numbers inside those boxes to ensure the…

A: The rate of change from the coordinates of y to coordinates of x can found out as  Δy/ Δx = (y2 - y1…

Q: Let S 1히 1히 1, f (t) = 1< ]t| < 2, 1 and let f be periodic of period 4. Sketch f (t) and its…

A:

Q: 3. The figure below shows twelve toothpicks arranged to form three squares. How can you form five…

A: Given:   the figure shows (in question) twelve toothpicks arranged to form three squares.

Q: 4. Let -81 | A = 1 (a) Factor A into a product PDP-1, where D is diagonal. (b) Compute e4.

A: We can solve this using diagonalisation

Q: B. Tell whether each statement is true or false. 1. 4 € {2, 4, 6, 8)} 2. 3 € {2, 4, 6, 8} 3. 14 €…

A: The set is 2,4,6,8. The number 4 is an element of the set 2,4,6,8. Therefore, 4∈2,4,6,8. The given…

Q: 5. AU (E n F)

A:

Q: Use a triple integral to determine the volume V of the region below z = 6 - x, -2Vx2 + y2 inside the…

A:

Q: 2. To estimate the surface area and volume of a football, the diameter of the ball is measured at…

A: Given: Let us consider the given, Surface area, S=2π∫0Lr dz Volume, V=π∫0Lr2dz Radius, r=d2 r2=d24

Q: Sketch the graph of r; = V3 and r, = 2 sin ( 20) then set up integral(s) for area of the following:

A: Given: r1=3r2=2sin2θ To find: a) inside r1 but outside r2 b) inside  r2 but outside r1 c) inside…

Q: Consider the function f(x) = %3D (a) Find the intercepts of the graph of f (if any). (b) Find the…

A:

Q: VARIATION OF PARAMETERS 1. (D^2+1)y= sec tanx

A: We have to solve by variation of parameters.

Q: Use Stokes' Theorem to calculate fe F-dĩ, where F = zyi+3=j+5zk, and C is the closed path around a…

A: Here given that F→=xy i^+3z j^+5x k^ and curve C in xz-plane. To find: ∫C F→·dr→ by Stokes' theorem.

Q: ouse the imProved wmethod Solve the : y ty tan X= sinzX ;ylo)=l ;h=ol

A:

Q: From part U), | Be dx (4,1,2) = -7 JT sin (4x) | (4-1) In(3) ( log (33)² 3 ln (3) 3dn(3) A(4) gin…

A:

Q: f (x) = x³ + 2x² + x – 1, (0, 1)

A: As per the policy of bartleby the provisions is to solve only one question at a time

Q: Use Lagrange Multipliers to solve the following: Maximize f(x,y,z) = 4x + 2y + z subject to x2 + y +…

A:

Q: Using Laplace Transforms Method, solve the following differential equations a) x"(t) – x(t) = 4Cost…

A:

Q: 4. Find the sum-of-products (SOP) and product-of-sums (POS) of the following Boolean functions. a.…

A:

Q: Find the derivative of the polynomial using Numerical Differentiation of forward finite divided…

A: Given: The polynomial in the form of text Four hundred multiplied by variable "x" raised to the…

Q: Problem #7: (a) Solve the initial value problem (x - 1)y' - *y = 16(x – 1)², y(2) = 0 %3! (b) Write…

A: The given differential equation is                                       x-1y'-2xx+1y=16x-12,…

Q: A. For each of the following arithmetic sequences, find a) the common difference; b) the equation of…

A: To find the terms of the given arithmetic sequence :-

Q: escr

A: Given: Doolittle method. To find: How LU factorization of a nonsingular matrix B can be found using…

Q: Consider the function g defined by 1 g(x, y) = sin (TVry) + log3(x – 3y) Do as indicated. 1.…

A:

Q: A. Perform the indicated operations on sets. 1. AUB 2. AnD 3. AUCUD

A: Given data:A={3,6,9,12,15,18}B={4,8,12,16}C={3,6,9,12}D={1,2,3}E={3,9}F={1,2,3,4,5,6,7,8,9,10}

Q: 5. The electric potential is V volts at any point (x, y) in the æry plane and V = e-2" cos(2y).…

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Problem #7: (a) Solve the initial value problem (x - 1)y' - y = 16(x - 1)², y(2) = 0 (b) Write the…

A:

Q: 3. Consider the vector field F(x, y) = (2xy, x² – sin y). Evaluate %3D F. ds C where C is the curve…

A:

Q: Find the area a) Inside the lemniscate r = 6 cos 20 and outside the circle r = V3.

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: solue for one eigenvector d) Write the eigenvector as a sum of 2 vectors (e red parttcmeginery part)…

A:

Q: Vector A = 6i + 2j - 3k Find the

A: Given: Vector A=6i+2j-3k  To find: Scalar component of A perpendicular to the x-axis.

Q: Given the following: 1u and v have an angle of 70° between them il. Jul = 40 and v = 30 ili, w = u+V…

A:

Q: 4. x"(t) – x(t) = 4Cost with x(0) = 0, x'(0) = 1 %3D

A:

Q: CO -20 n 161 n + e "2n + tan (103 n). The sequence is n=1 O divergent as its limit is o 161 O…

A: We have given a sequence ,  ln161 n + e-20n2n + tan-1103nn=1∞ We know that , sequence an is…

Q: Let R* be the multiplicative group of all nonzero real numbers and T= {1, -1} a subgroup of R*.…

A: Given :  R* be the multiplicative group of non zero real numbers  and T = {1, -1} is a subgroup of…

Q: 했습니다. Q7. Let A is a 3 x 4 matrix that depends on c: 2 47 2 8 0 0 2 [1 1 Then, solve the following…

A:

Q: NONHOMOGENEOUS EQUATIONS: UNDETERMINED COEFFICIENTS  3. (D^2+1)y=sinx

A:

Q: The value of a brand new car is $16, 000 and the value depreciates 18% every year. Write a function…

A: Solution

Q: 4. Find the first five terms of the sequence in which the sixth term is 47 and twelfth term is 77.…

A: Given:Arithmetic progression  T6=a+5d=47  T12=a+11d=77   We have to find T5 = ?

Q: 2. Given Y = cje^itx1 + cze^ztx2 + ...+ Cnedntxn is the solution to the initial value problem Y' =…

A:

Q: 00 The sequence 161 n + e20 n is 2n + tan (103 n). n=1 O divergent as its limit is o0 161 O…

A:

Q: e. Find the coordinates of u = (-3, -3) in the ordered basis B. Note that [u]B = [ u]E. %3D [u]B =…

A:

Q: Element X is a radioactive isotope such that its mass decreases by 26% every year. If an experiment…

A: Given that a radioactive element whose mass originally was 490 grams is reduced 26% every year. To…

Q: In the process of finding the L{est cos(10t) sin(4t)} what is this equivalent to? Note that the…

A:

Q: Show that rejst =rcjs(-0)

A:

Q: 3. Show whether the following expressions are equal or not. Use tables or identities. x + (y z) = (x…

A:

Q: dy dz y - zx yZ + X x2 + y?

A:

Q: Using Laplace Transforms Method, solve the following Differential Equations 1. y' = 2et with y(0) =…

A:

Q: x(t) = cos(2nt + 1)

A: