Assuming x E Z. Prove 2|(x – 6x + 5) → 2}x a|b b = ke Z a 6. = 2 € Z 3 3|6 is True because 4 3+ 4 because =|1.33 ¢ Z 3 -

Q: Find the area of the region that is enclosed by the cardiod r = 14+ 14 sin 0. NOTE: Enter the exact…

A:

Q: Find the directed distance from the given line to the given point. (-1, 6) (5, 4) (10, 8) (1, 2)…

A:

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

A: We have to find the volume by shell method.

Q: The volume of a torus (doughnut or bagel) with an inner radius of a and an outer radius of b is V -…

A:

Q: Find the exact arc length of the curve over the stated interval. 1 1 + from y = 1 to y = 3 x = NOTE:…

A: Aec length of the given curveL=∫131+dxdy2dy    Considerx=16y3+12y-1thendxdy=(16×3y2)+-12y2…

Q: Find the area of the region bounded by the graphs of f (x) = x³ and g (x) = x. A 1 B) 4 C) 0.5 D 3

A: Solution is given below:

Q: Find f such that the given conditions are satisfied. 17) f(x) = 5x2 - 7x + 4, f(0) = 2 A) f(x) =x3…

A: Given f'(x)=5x2-7x+4,   f(0)=2To find f:

Q: Evaluate JJ Xy dA, where R is the region in LA ... y = x? R 2 A) 13/7 B) 16/3 c) 18 D) 20

A: A detailed solution is given below

Q: d. Calculate ri(t) · r»(t)] and d Edit dt [r1(t) x r2(t)] first by differentiating dt the product…

A:

Q: Find the solution of the following linear ODE given that y(5)=3 dy Зу = (x – 4)² х—4 dx

A: Use integrating factor for the differential equation.

Q: We know that y dy? arctan (e*+1) so whats the value for dx 1 a) e2a+2 +1 1 Ob) els+1)* +1 Need This…

A:

Q: Evaluate the indefinite integral. 8 + x*dx + C

A: topic- indefinite integral

Q: Find the length of the curve, L. y² = 4 (x + 5)* , 0 0

A: To find the length of the given curve

Q: x Sin ( 3x- 2 |

A: Given: ∫ xsin3x-2dx   So, =-13xcos3x-2-∫…

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 6…

A: A detailed solution is given below.

Q: Question 7 Use double integration to find the volume of the solid. 3 3x + 2y + 4z = 12 A) 6 B) 9 c)…

A:

Q: Find the equation of the line parallel to: a. 13x + 9y + 180 = 0 b. 2х-7у-35%3D 0 x+ 10y-11 0…

A:

Q: Let fa function such that f and f' are continuous in all their domain , If f(-1) = 2 and f'(-1) = 5…

A: limx-0[f(-1+3x)-f(-1-4x) ]/x.

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

A:

Q: Consider the curve (y2 = 9 +x) that defines y as an implicit function of x. If P (xo, yo) is the…

A:

Q: Use The Formula К(T) = ||R' (T) × R"(T)|| ||R'(T)|

A:

Q: ne area Of Lhe region

A:

Q: Find the center of mass of the given system of point masses lying on the x-axis. m = 8, m, = 3, m, =…

A:

Q: Jav f(u) /2x² + 12dx takes the form (и)du.

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz dx dz dy = -72

A: To evaluate: ∫02∫-72y2∫-48zyz dx dz dy

Q: dx a sin x+b cos x

A: Given problem:-

Q: 3. dy Find if y 2xy - x: dx = cos X using implicit differentiat

A:

Q: Evaluate the iterated integral. 6 7 8 /// (x² + y² + z²) dxdydz -6 0 0 6 7 8 (x² + y² + z?)dxdydz i…

A:

Q: Question Specify which of the following sequences converge en n+V5 an =5- %3D n2 Cn = an and Cn the…

A: If limn→∞an  exists and is finite the then sequence an is converges.

Q: 2 Find the Inverse Laplace transform f(t) if given the Laplace Transform function 1 F(s) = using…

A: Use partial fraction

Q: Find the arc length of the graph of r(t) = eV2t¡ + e-V2tj+ 2tk, 0<ts V2 In 7 NOTE: Enter the exact…

A:

Q: If we have that f: R → Ris a continuous function , in which f'(7) = 6 and f(7) = -2 an equation of…

A: We have to find out tangent line

Q: 3. The derivative of /(x) = In x at x = 3 when hourrent = 0.001 and hprevious = 0.002

A: Given problem:- 3. The derivative of f(x) = In x at x = 3 when hcureent= 0.001 and hprevious = 0.002…

Q: Define a function S: Z+ --> Z+ as follows. For each positive integer n, S(n) = the sum of the…

A:

Q: Let f: R → R some function that is at least two times derivable , for f we know that f"(-1) = f"(2)…

A:

Q: Find the extremum of f(x,y) subject to the given constraint, and state whether it is a maximum or a…

A: To find maxima/minima of the function: f(x,y)=x2+2y2-3xy with constraint g(x,y)=x+y-24=0

Q: 35. If y=3x^2-x+1, find the point x at which dy/dx assume its mean value in the interval x=2 and…

A:

Q: x-3 j. lim cose sine- sin 00 02

A:

Q: A torus is formed by revolving the region bounded by the circle x? + y? = 49 about the line x = 8…

A:

Q: combination lock will open when you select the right choice of three numbers (from 1 to 30,…

A:

Q: (8) Using Taylor's formula, e" log(1 + is approximately equal to (a) x – xy (b) х — ху + 2 (c) x +…

A:

Q: Matching Match the equation of each plane to its scalar form. x-y-2z+4 = 0 y = 2 E y-z-6 = 0 A D…

A: As per bartleby guidelines we only give first three question answers.

Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

A:

Q: 13.3 PARTIAL DERIVATIVES 29-32 Evaluate the indicated partial derivatives. I 29. f(x, y) = 9 – x² –…

A:

Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: Sketch the region R whose area is given by the iterated integral. Ap xp 8- 7- 7 6- 6 5- 5- 4- 4 3-…

A:

Q: Evaluate the following sums using summation formulas. 10 10 10 Σ b. ) k? а. C. k=1 k=1 k=1 10 а. k=1…

A: We have to evaluate the sum

Q: Find the area of the region enclosed by the rose r = 18 cos 30. NOTE: Enter the exact answer. A = T

A:

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A:

Q: Find a formula for the nth term of the arithmetic sequence. 26, d = 8 a1 %3D an

A: