10. If NS = 2x + 7 and SQ = 5x – 23, find NQ. N R

Q: 03 (show de) * sec?xdy+cscydx=0

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Q: B. USING GAUSS QUADRATURE WHEN N=6 5 -3 (4x − 3)³ dx

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Q: Show the only soution to ax = 1, a + 0, is x = a^-1|

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Q: S cFinz (Inz + 1)dz

A: Given: 7. ∫azlnzlnz+1dz To Find: To evaluate the given integration.

Q: -п/8 S sec? (2x)dx

A: We have to evaluate the definite integral: ∫0π8sec22xdx Assuming, t=2x Then definite limit will also…

Q: 8 to left of Z is 33% h. to the leftt of Z is 0.43%

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Q: If , Ax) dx = 10 and , Ax) dx = 7, find , Ax) dx. Select the correct answer. O 1) -10 O 2) 17 3) 3…

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Q: Both the Root and Ratio tests are inconclusive if OL=2 OL=1 OL=0 they are conclusive for any value…

A: The solution is given below in the next step:

Q: 2. J Зу /7—Зу?dy

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Q: If (x – k)³ dx = §,x³ dx , find k? %3D -

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Q: 2 X- - SS. T dydx

A: ∫1-1∫0x2-1dy dxWe need to evaluate the above double integral.

Q: Ex S olke the systen of using ow Lincar Equabono Methad Reduction 2メ+y ーチ %3D ー×→Y

A: Given information: The system of linear equations are: 2x+y=4-x+y=3 It is required to obtain the…

Q: The radius of a circle is found to be 7 cm in length with a possible error of no more than 0.04 cm.…

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Q: 2 (4-x² r² dzdydx Q5: Find Si * S,

A: We have,∫02∫04-x2∫x2dzdydx=∫02∫04-x2zx2dydx∫02∫04-x2∫x2dzdydx=∫02∫04-x22-xdydx

Q: 3. Determine the complete solution using MVP: - cot(2:) dx

A: Given the differential equation

Q: if M Z- Sin (xy) fined 4 22 y= lint t-1

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: How many approximations for y = x sin(x²) must be made in order to obtain the zero of the equation…

A: Given that, y=x sinx2, x0=1.5. By Newton-Raphson method, xn+1=xn-fxnf'xn. Solve for n = 0.…

Q: 2) Show that (1 – x²)P",(x)P'm(x) dx: 21(l + 1) Sim• 21 + 1

A: Given:-  ∫-11(1-x2) p'l(x)p'm(x)dx=2l(l+1)2l+1δlm

Q: If Jo flx)dx= 31 and Jo gixldxX=16. find So'[ 4f (X\ + 6glx\] dx

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Q: d) solve to 1l o wing equan on. the differenti al 2 dy 3y = 3 n2 + 5 %3D

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Q: 16) Use puplicit diflerentation to find dy x tohy =7

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Q: 12. If IN = 2x + 10 and AT = 26, find x. %3D %3D В 丰 N A O 6 O 12 О 10 8. -

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Q: 8. Suppose that (x) = { 1 0 40 40 If the radix (the value for lo) is 100,000, calculate 2d39.

A: Given  μx= 1       0<x≤4040x        x>40 l0=100000

Q: 2. 2 in 12 in Vulume

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Q: 27 Find y' if y =4 sin ditE

A: We have to find

Q: 2.2 The value of xe* by use the trapezoidal rule is most nearly 0.2 Oa. 11.672 Ob. 11.807 Oc. 20.099…

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Q: So" (8 + 4 co entage error in nu n the Trapezoida

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Q: 8. Suppose that 0 40 If the radix (the value for lo) is 100,000, calculate 2d39.

A: Given  μx=  1       0<x≤4040x        x>40 l0=100000

Q: Q2 a) Find approximation 3125 an Correct to three decinial Places

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Q: 7. If DE = 11x + 15 and FG = 32x- 27, find DE. %3D D E

A: We are authorized to solve only 1 question, please repost remaining questions Circle property

Q: (11) If f(x) is a p.d.-fand fla)=√ at ² 04x61 Ind the value of a ae 12x ≤2 O elsewhere

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Q: Nhat is Duf at P(1, 1) if f(x, y) = sin(x - y) and u=i-İ? 3 O 5 O 3 4 O 10 9

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Q: 2) у(и? + 1)du + (из — Зи)dy — 0 -

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Q: Find nalytical salution to Pnti = (r+)+m possible. an Simplity as much as

A: Given equation is: Pn+1=r+1Pn+m⇒Pn+1=rPn+Pn+m⇒Pn+1-rPn-Pn=m

Q: 8) So for x and y. Bound to the nearcast tenth. 12 メニ 50

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Q: Evaluate: / (In(2r – 1) – () + 25) da + 25 ) dx | Limits: [1, 6] Using Trapezoidal, n = 30

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Q: ne exact length of tne X = Vy (y – 3), 4sys9

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Q: 9. For what value of k, k> 0, does (4kx-5k) dx = k² O 1 O 2 3 O 4

A: On solving this we will get

Q: Solve the difterentiol eq uation dR a (RZ+I8) R= 2

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Q: Which one of the following equals IVy dz dy.

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Q: aw and ar dw O Find if as

A: In this question, the concept of the derivative is applied. Derivative  A a derivative is used to…

Q: 3. Solve the equation cosh 2x + cosh x 5, giving x to three dec. places. %3D

A: The given equation is cosh2x+coshx=5. Calculate the solution of x to three decimal places.   Here we…

Q: In the given figure, PR is 12 more than twice PQ, and QR  is two more than four times PQ. If all…

A: From figure, note that PQ=x. It is given that PR  is 12 more than twice PQ. That is, PR=12+2x. It is…

Q: Sino = 3. To 0= 19.47 /-

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Q: S(1 + sec ax)²dx is equal to

A: ∫1+secπx2 dx

Q: Differential equation question, as in picture

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Q: d 53. cosh? (9 – 31) = –6 cosh(9 – 3t) sinh(9 – 3t) dt

A: Given derivative is ddtcosh29-3t.

Q: 3. to 4. Hox - 9x²+8dx 2- 十一X dx

A: ∫10x4-9x2+8x2dx

Q: 5: Derive the formula for trapezoidal Rule to evaluate ff(x) dx

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Q: Solve for nif n Py=60(nc)

A: We know that nP4 = n!/(n-r)! nCr = n!/(r!(n-r)!)

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.