The slope of the tangent line to the graph of the function y = 5VT-5 at (25, 20) is O 5 O 0.50 O -0.80 O -1.20 O 25.00

Q: 4. The two differentiable functions f(r, g) and g(r,0) satisfy the identity 9(r, 6) = S(r cose, r…

A: Given two differentiable function are f(x,y) and g(r,θ)  such that g(r,θ)=f(rcosθ,rsinθ) given that…

Q: Find the integral surface of the linear PDE xp - yq = z which contains the circle x² + y? = 1, z=1.

A: From Lagrange method

Q: Calculate the value of 102 – 101 correct to four significant figures.

A: Given that  √102-√101

Q: 1) The probability density function of X is: f(x) = 4xe-2x x>0 Calculate F(5) = ? where F indicates…

A:

Q: Describe the procedures to find the factor of a matrix, matrix norm, column norm and row norm.

A: Factor of a matrix: Let,  A=1abc1bac1cab Performing row operations, 1abc1bac1cab…

Q: The Laplace transform of Le t] is 4 (s+3)5 4! (s+3)4 3! (s+ 4)5 4! (s+3)5

A: By using the formula of laplace transform of product of function and exponential function

Q: Evaluate e*y dx dy by using trapezoidal and Simpson's rules.

A:

Q: Qd-Qg+0Qd, +06s,10P, 10 OGd + Qs, tOQd +OQs, -hR-bPh = be OGd-06+Qd, -Qs,-Of-0R

A: Given:  Qd1-Qs1=0  ....(i)Qd1=a0+a1p1-a2p2  ....(ii)Qs1=b0+b1p1+b2p2.....(iii)  and Qd2-Qs2=0…

Q: The complementary function (C.F.) of the differential equation:(D² +3?)y=cos lz s. O ge* + cz sin 3z…

A:

Q: 1 If z = 8 -xy, find the percentage error in z when x = 3.14 + 0.0016 and y = 4.5 + 0.05.

A: Calculate percentage error: ∆zz=∆xx+3∆yy        =0.00163.14+30.054.5        =79723550        =0.0338…

Q: Show that the map t: V,(R) → V3(R) defined by 1(a, b) = (a + b, a- b, b) is a linear transformation.…

A:

Q: (b) Show that general solution of the second-order difference equation: ya+2 - Gys+1 + 8ya = 2+ 3.k…

A:

Q: 18. Find the complete integrals of the following PDES: (i) xp°q² + yp*q° +(p³ +q°) – zp²q² =0

A: Since you have asked multiple questions, we will solve the first question. Please resubmit the…

Q: valuate the integral using Partial Fraction Technique: 7- 5) (x – 9)2 dx

A: To evaluate: ∫xx-5x-92dx. Simplifying the expressio using partial fraction decomposition.…

Q: Prove that E = ehd.

A: By the defination, fx=fx+h....1∆fx=fx+h-fx∆fx=Efx-fx∆fx=E-1fx Therefore, ∆=E-1E=1+∆.....2

Q: Explain the term 'round-off error' and round-off the following numbers to two decimal places:…

A:

Q: Show that factorial polynomial represent the function: -1+2r – 3r2 + 42 is -1+ (2 – 3h + 4h²)æ(-1) +…

A: Given function, -1+2x-3x2+4x3 To show that the factorial polynomial representation of above function…

Q: For the function f(x) = 9x² + 12x + 22, find f'(x) f(x +h) – f(x) lim h 0 h O 24x + 22 O 9x O 9x +…

A: Please refer the image.

Q: The exponential series is given by e* =1+x++ 2! 3! + 4! Find the number of terms of the above series…

A: We have to solve given problem:

Q: )Show that given differential equation is exact hence solve it (cos a sin a - xy²) dx + y(1 – x²)dy…

A: We know that the differential equation  Mdx+Ndy=0 is exact if ∂M∂y=∂N∂x Given differential equation…

Q: Find fxxyz for the following function: f (x, y, 2) = 40cos (9x – 2yz) + 18sin(3x + yz)

A: Given,       f(x, y, z) = 40cos(9x-2yz) + 18sin(3x+yz)   We need to find fxxyz i.e., to find…

Q: The Particular integral(P.I) of the differential equation A: (D +3)*y= 5 is 05 5. 27 O27 Clear my…

A: For calculating PI y is a constant. Let y=c. Therefore:  D3+34y=50+34c=581c=5c=581

Q: What is the main advantage of Newton's interpolation over Lagrange's interpolation?

A: Lagrange interpolation is mostly just useful for theory. Actually computing with it requires huge…

Q: 3. A thermally conducting solid bounded by two concentric spheres of radii a and b, a<b, is such…

A: Given that the temperature of the inner surface is T1 The temperature of the outer surface is…

Q: 2. A homogeneous thermally conducting solid is bounded by the concentric spheres r= a, r= b, 0b…

A: Let the temperature of inner surface is f1Q=T1. Let the temperature of outer surface is f2Q=T2. Let…

Q: Find the value of lim f(x), if f(x) = 7x + 3 x 7 O 10 O 88 O 17 O 62

A:

Q: To find a particular solution for y" - 6y' + 9y = x² + 10 with the method of variation of…

A: The given differential equation is a second order non-homogeneous differential equation with the…

Q: If p = 3c° – 6c², find the percentage error in p at c = 1, if the error in c is 0.05.

A:

Q: Q2/ The following data represent the sales of a private company for the period 2005-2010 Answer each…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Please solve it quickly

A: We write diffrence between exact and approximate number

Q: Find out the general solution of one-dimensional wave equation in spherical polar coordinates by…

A:

Q: Q. 03: Find f(0.23) and f(0.29) from the numerical values f(0.20) = 1.6596, f(0.22) = 1.6698,…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.