Find the volume of the solid that lies under the plane 2x−4y+5z=18 and above the rectangle R={(x,y) | 1≤x≤3, 2≤y≤4}

Q: (т — 3)" - Determine the interval of convergence of 2n +1

A:

Q: f(x) =(x^2/3 − 1)^2 Take note that the 2/3 is the exponent if x (a.) the critical numbers of f (b....

A:

Q: d) If the coefficients are rounded off of 0.31x + 2.73 find the absolute and relative in y x + 0,35 ...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

A:

Q: 3. a) Find the percentage error in computing u = Vx at x = 2.45, when x is 4 %3D b) | If Ax = 0.005,...

A:

Q: Find the polynomial with a leading coefficient of either 1 or - 1 and with smallest possible degree ...

A: Draw a schematic diagram of given graph.  

Q: The student should estimate the equation 0.24 0.24 + tan [0.247 + 2(0.27)n] π 1 1 =-+-tan(Tx + 2ny) ...

A: Given function: gx,y=xπ+xπtanπx+2πy Point: 14, 14 To estimate: 0.24π+0.24πtan0.24π+20.27π Formulas u...

Q: Find the Maclaurin polynomials of orders n= 0,1, 2, 3, and 4 and then find the nth Maclaurin polynom...

A:

Q: Using the definition of derivative, find functions: a) y = xVx -2 .2 (b) y =- (x-1)

A: Given ,f(x)=xx2-2Therefore,f(x+h)=(x+h)(x+h)2-2We know that ,f'(x)=limh→0f(x+h)-f(x)hTherefore,f'(x)...

Q: 8-2х (f) lim- нх* — х—12

A:

Q: Determine whether the given series is absolutely convergent, conditionally convergent or divergent. ...

A:

Q: dx The integral can be re-written as (A) (2-2 V1-m ) lim m- 00 B none of the choices lim (-2+2 /1-m ...

A:

Q: Differentiate f(z) = VE. Differentiate f(x) : Differentiate f(z) = (2z² + 1). 4. 5. 6.

A:

Q: sin(In x) In(sin x)" Use Squeeze Theorem to evaluate lim

A: limx→ 0+sinlnxlnsinx

Q: 2. (a) Prove the following inequality n(n- 1) ,2, 120 (1+ 1)" 2 1+ nz + 2 for any n 2 1. (b) Show th...

A:

Q: dx Given: - 06-2x. Using u-substitution and transforming the integrand, find du. A 14e2xdx B 18e-2xd...

A: Given:  ∫dx7-9e-2x To Find: By using u‐substitution and transforming the integrand, to find du.  

Q: Consider the following sequence: 5" {an} = n=1 An+1 Use the ratio to show that the given sequence {a...

A: Given sequence an=5n2n2n=1+∞

Q: Differentiate the function by using the definition of derivatives. f(x + h) – f(x) f'(x) = lim h0 f(...

A: Given: f(x)=x3

Q: Graph the two equations x+y= 0, and y = - (x-1) and find the points in which the graphs intersect

A: 1. Given x+y=0y=-xtf x=0,y=0if x=1 ,y=-1if x=2,y=-2Graph passing through origin .2. y=-x-12if x=0,y=...

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

A:

Q: Question 21 sin 3x Given: dxWhat is the appropriate formula to find the integral? cos2 (3x) (4- 3 se...

A:

Q: 3/2 X2 dx

A: 1.∫x32tan-1(x) dxlet x=tdiff o.b.s12xdx=dt dx=2t dt∫t3tan-1(t) 2t dt=2∫tan-1(t) t4 dtwe know that ∫u...

Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the ...

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And, ∇×F=ijk∂∂x∂...

Q: Use the limit comparison test to determine whether the series converges 8. 7h +5 The series converge...

A: The given series,      ∑k=1∞87k+5

Q: Question 10 cot (2x) Evaluate the integral Vcot (2x)- 15 cse (2x) A) --Arcsec 4 4 cot (2x) B) Arcsec...

A:

Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

A:

Q: Use the binomial series to find the Maclaurin series for the functi 1 f(x) (1 + x)3 |(2-3) f(x) = Yo...

A:

Q: / 5x? tun(3x) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find f Given: 5/2 A 18 B none ...

A: This question can be solved using the concept of substitution as used in integration.

Q: Find the solution of the following Differential Equations 2) (xdy – ydx)/x² = 4) 2.x In(y)dx+ yx'dy ...

A:

Q: Solve the components of the given equation of conic sections and sketch the graph а. х — -y2 +1 b. x...

A:

Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

A:

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

A:

Q: an+1 Jse the ratio to determine if the sequence {ne} is strictly increasing or strictly decreasing. ...

A:

Q: Direction: Compute the following limits: Given: 1 lim f(x) =5, lim g(x) = -9, lim h(x) = 6 1. lim(5 ...

A:

Q: sin(2a)dx + cos (3y)dy 3 0, у(т/2) — п/3 ||

A:

Q: When the numerator has a higher degree than the denominator, we have to start with long division. Af...

A: It will be covered in step 2.

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y2 = x and y = 2 ...

A:

Q: Let F = %3| Use Stokes' Theorem to evaluate curlF · dS , where S is the hemisphere x? + y? + z² = 1...

A:

Q: If the solution to e2x sec2(e2x+1)dx is equal to ktan (e2x+1) + C, find the exact value of k. 1 (A) ...

A:

Q: 00 For which values of p does E converge? (n° +7)" n=1 (Use symbolic notation and fractions where ne...

A: Given problem:-

Q: (-1)+16· 13 . 20.(7k – 8) * Use the formula for the binomial series: (1 + x)" = 1+ mx + m(m-1) m(m-1...

A: solution:-1+xm=1+mx+mm-12!x2+ ... mm-1...m-k+1k!xk              1+∑k=1∞ mm-1...m-k+1k!xk         if ...

Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the...

A: Let's find. 

Q: dy de + 2xy = 2xe-x².

A:

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² - 2...

A:

Q: 1 Use the Cauchy's integral test to show that Σ diverges n. In n. In In n n=2

A: Cauchy -Integral  Test series ∑n=1∞ an      converges if integral ∫1∞ f(x) dx finite and  diverge if...

Q: Homeworks 1. When a eircular plate of metal is heated in an oven its radius increases at a rate of 0...

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

A:

Q: f(x)= (x-2)/(x^2-x+1)^2 (a.) the critical numbers of f (b.) all relative extrema of f (c.) the inte...

A: To find (a.) the critical numbers of f(b.) all relative extrema of f(c.) the intervals on which f is...

Q: Use the Squeeze Theorem to evaluate lim sin(tan r) sech(secr). ес

A:

Q: A diver launches themselves off a diving platform into a pool. The height, in metres, of the diver a...

A: