1. Find all x, y, and z such that a) x = 3 (mod 4) x = 5 (mod 21) x = 7 (mod 25) b) 3y = 9 (mod 12) 4y 5 (mod 35) 6y 2 (mod 11) c) z = 1 (mod 12) z = 4 (mod 21) z = 18 (mod 35)

Q: 1. Find the parametric equation for a line that passes through the points (1,1,1) and (2,3,2).…

A:

Q: Solve the differential equations below by using any of the following methods only: - Variable…

A:

Q: ) At an annual compound interest rate of 3%, how long will it take you to double your money?…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded =…

A:

Q: A rectangular piece of cardboard measuring 8 in by 10 in is to be made into a box by cutting equal…

A:

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: We know that The volume of a solid rotated about the y-axis can be calculated by V = π∫ab[f(y)]2dy.

Q: Suppose that |g(x) - 2| 1 g(x). Justify steps

A: Given: |g(x)-2|≤3(x-1)2 for all x. To find: limx→1g(x)

Q: 12. h(x) = sin x X

A:

Q: lim →0 Lln (1+y) sin

A: We are asked to find the limit of the function

Q: Let N. H. S. D. R. J. and B be the propositions: N: Mr. Smith is the brakeman's next-door neighbor…

A:

Q: Use the intermediate value theorem to show 2x^3+5x^2-3x-5=1 has a solution on the interval (0,2)

A: Given equation, 2x^3+5x^2-3x-5=1 That is 2x3+5x2-3x-6=0 Therefore given function, f(x)=2x3+5x2-3x-6

Q: 2. lim tan x x 플 →

A: The given limit is limx→π2-tanx

Q: 40. Given that A. -85 18 ¹-90 18 B. C. D. ¹-85 16 E. -5 18 x 4-12 18 =[% = Lin-1 what is equal to?

A:

Q: Find the solution of the following DE. Show your complete solution 4.

A:

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A:

Q: (1 t) Let A = (2, -3) and B = (-3, 3) be points in R², and let C = (4,-4, 4) and D= (2, -3,-1) be…

A:

Q: 3x - 5 Consider the function f(x) = x2 + 3x - 10 Determine the number of discontinuities of f(x).…

A:

Q: etermine the particular solution of the following differential equation: dy xy+2y-x-2 - dx xy-3y+x-3…

A:

Q: 3. Let C be the curve given by {(x, y) = R² | 2³ + 2x² + xy³ = y³}. Find the r-coordinates of the…

A:

Q: (a) A spherical iron ball 6 cm in diameter is coated with a layer of ice with uniform thickness. If…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 3. A semi-sphere tank of radius 7 m is full of water. How much work is needed to pump all of the…

A: Water tank radius= 7m  Water density = 1000km/m3  Find the work required to pump out the water .

Q: (1 et A = (2, -3) and B = (-3,3) be points in R2, and let C = (4, -4, 4) and D = (2, -3, -1) be…

A:

Q: Use the graph of the function to find the domain and range of f. (Enter your answer using interval…

A: NOTE: Refresh your page if you can't see any equations. . the function is defined for all real…

Q: x=-3cos(2 x+

A: Solution: y=-3cos32x+π2+1 In their most general form, wave functions are defined by the equation:…

Q: Suppose z = f(u, v), where f(u, v), fu(u, v) and f(u, v) are differentiable functions of u and v.…

A:

Q: Trig identities. Use what you know to prove the following identities: tan^2(x)+1=sec^2(x)

A:

Q: Suppose that the function f(x) 20.25 average molecular speed for this distribution? Write your…

A: Solution is given below:

Q: Find the solution of the given differential equations. 4. y' y+1 y(3)=-1

A: The given differential equation is y'=x2y-yy+1; y3=-1 We have to find the solution for the…

Q: Find an equation of the tangent line to the curve at the given point. y = 3x/ (x+1)^2,    (0, 0)

A:

Q: Find the cross product a x b. a =j+9k, b = 5i - j + 2k

A:

Q: Starting with 2 = A + B₁ show that 2 x 2 = 0 ledd's to A×B = - B × A

A: Given query is to find prove above vector operation.

Q: 35-40 Coterminal Angles? The measures of two angles in standard position are given. Determine…

A: NOTE: Refresh your page if you can't see any equations. . two angles are coterminal if the…

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence…

A: We have the sequence (√2 - √9), (√3 - √10), (√4 - √11),........... Find the general term of…

Q: Complete the square and find the vertex form of the quadratic function. f(x) = − x² + 8x − 62 - f(x)…

A: Given, f(x)=-x2+8x-62

Q: Write an equation for the polynomial graphed below y(x) = 4 3 2 1 1 2 3 Submit Question H a

A: We have given graph of the polynomial  From given graph  Zeros : x=-4,-2,3,4 y-intercept : y=2 Let,…

Q: Methods by substitution (2x+1) dx - (x+3y+2)dy =0

A:

Q: B. Given the initial value problem (4 x³y— 18x²+y\dx+(x¹+3y²+x)dy=0; y(1)=–2 1. Determine if the…

A: If the differential equation is of the form Mdx+Ndy=0. And the equation is exact i.e., ∂M∂y=∂N∂xthen…

Q: Find the derivative of the function g(x) = (2x² - 4x - 1)e² g'(x) =

A: Finding g'(x)

Q: Evaluate the indefinite integral using integration by Parts. [e² sin(x) da ||

A: The integral is solved by using bi parts method

Q: Euclidean Algorithm: Express 13 as a linear combination of 39 and 26. Find x and y such that…

A: See this solution in below.

Q: Find the derivative of y = cos³ w + cos(w³)

A: Topic - derivative of a function We are given y=cos3(w)+cos(w3)and we know thatddxcos…

Q: Directions: definition Find the derivatives using the of limits (4-step Rule). Show each step from…

A: Given: y=9-7x1-xTo find:The derivative of the function

Q: The graphs of y = f(z) (solid) and y = g(z) (dashed) are shown. The two graphs intersect at (7, 10).…

A:

Q: 34. t-36 f(-) dx = -36, which of the following must Given that be true? A. 6-36f (p) dp = -36 B. −…

A:

Q: Solve for the determinant of the following matrix: 392 -2 8 5 02000 1-6 0-3 3 4 02 -8 5 00 3 1

A: Determinant of upper triangular matrix is product of the diagonal entries of the matrix. So here we…

Q: 32. 11T 6

A:

Q: Use Hooke's Law to determine the variable force in the spring problem. A force of 250 newtons…

A: Solution is done in step 2

Q: 2) Suppose that f(x) = cos x. Find f'(). Choose the best answer.

A: f(x)=cos(x) Differentiating with respect to x f'(x)=ddx(cos(x))=-sin(x)

Q: 9. X x5 E

A: Answer (9) We have to solve  x2 x5 x3

Q: If f(x) = tan x, then lim TT A (B C D 0 tan (1) sec² (4) nonexistent f(x)-f( =) x-7 is

A: