Given that dy =0 dx when x=1 for the curve y=x³+3x2 – 9x +6 d²y and hence find which of the following is true when x=1: Find dx2

Q: A club has 100 members and their ages are shown in the table below: Marks 16-25 26-35 36-45 46-55…

A: To plot graph, plot points with coordinates (x,y ), where x is the upper limit of a class interval…

Q: The curve ver = V1 + sin20.

A: Solution :-

Q: 6. Let 15 2 8 B= |-3 4 1 L4 -4 5. e) Find odj a Compute det (B) E Show that the B (Adj B) = (odj 8)…

A:

Q: -1 3 8 -51 X1 6 -2 7 X2 -11 8 -9 -5 8 - 3 6 3 X3 1 7 4 A. Solve for the unknown values using Direct…

A:

Q: · A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A: A roof gutter is to be made from a long strip of sheet metal L meters wide, by bending up equal…

Q: 3. Solve for all the roots of x using Bairstow's Method starting at ri = 0.25 and s1 = 8.75 of the…

A: We will use the basic knowledge of Bairstow's method to precisely find all the real and complex…

Q: 1. A periodic function f(t) is given by a function where f(t)=. 3t for 0<t<3 For the given function…

A:

Q: 3 Compute the Fourier transform and inverse of the following inputs use fourier matlab function : •…

A: (1) rectangular plus Input syms a b t f = rectangularPulse(a,b,t); f_FT = fourier(f ) Output f_FT =…

Q: (e) A x (B – C) = (A × B), (Ax C). %3D (f) (A – B) × C = (A x C). (Bx C). (g) If AC B, then A x C ВХ…

A:

Q: Let R be a ring such that for each a e R there exists xE R such that a'x = a. Prove the following :…

A:

Q: Solve the system of differential equations Sx1' = 331x1 + 420x2 | x2' = – 264xı – 335x2 21(0) = 27,…

A: We can write the given system of differential equation in the matrix form as below:…

Q: Create two exponential functions that have a horizontal asymptote at y=3 and go through the point…

A: The solution is given below

Q: II. Consider the function g defined by 1 g(x, y) = cos (71/) + log,(r – y)" Do as indicated. 1.…

A:

Q: Solve the following differential equation with the method of undetermined coefficients y" + y' – 6y…

A:

Q: XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX Test if the following complex limit exists,…

A:

Q: Show that (2o + h)" – 2ö = nz- | n-1 lim h→0 h for any zo E C.

A: To show: limh→0z0+hn-z0nh=nz0n-1for any z0∈ℂ

Q: Find L{f(t)}of the following functions. Note: a, b, e, k and n are constants. f (1) = {'+1,0<1<1…

A: We evaluate the first integral using integration by parts and the second one by the formula for…

Q: X = 0 X + 0 Let g(x) = {sin Find all values of h for which g satisfy the following conditions on I =…

A:

Q: Determine if the functions in each pair are equivalent. Provide mathematical proof or justification…

A:

Q: (d) Let S = (Q, +, ·), the ring where + is addition of rational numbers and · is multiplicaiton of…

A: The given question is related with abstract algebra. We have to solve the following :…

Q: Write the simplex tableau, that should be used to: Maximize P = 5x1  + 2x2 subject to  x1+ 7x2 = 0…

A:

Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Here we will use total derivative  If z is a function of x,y,z i.e. z=f(x,y,z) then…

Q: Let S be the quadric with equation 36x2 – 4y² – 9z² – 36x = 0. (a) Classify the graph of S.

A: Given, The equation of the quadratic surface 36x2-4y2-9z2-36x=0 The type of quadratic surface is to…

Q: The following sequence 2357" An = e\ n! converges toe O converges to 1 converges to 0 diverges

A:

Q: 4. Construct all degree sequences for graphs with four vertices and no isolated vertex.

A: Construct all possible degree sequences with four vertices and no isolated vertex

Q: Find a generating curve on the xz-plane for the surface of revolution with equation x²+ y²+ z²= e2x

A: Solution: Given equation is x^2+y^2+z^2=e^(2x)

Q: ixi + (2 – i)r2 = 4 – 3i (1+ i)x1 – 12 =-3 - i

A:

Q: Solve the following differential equation y"+2y' +y=x-1 Select one: O a. YG.S= Ce+c2e° -2x +x-3 O b.…

A:

Q: If g is a differentiable function and g(0)=0 and g'(0) > 0. a) Prove that f(x) = 1/2 (integral from…

A: We will use the basic knowledge of differential and integral calculus to answer both the parts of…

Q: 1. Find the smallest distance from the point (0, c, 0) to the surface y = x² + z².

A: We have to use Langrages Multipliers Method to find the minimum distance from (0,c,0) to a point on…

Q: 7. Prove that the graphs G & H are isomorphic. 1 3 a 5 2 H

A:

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution :-

Q: Determine whether the following series converges or diverges. (-1)"-1 Vn nput C for convergence and…

A:

Q: (b) Prove by Induction that (3i – 1)(3i +2) = 3n +6n2 +n for n21 i=1

A:

Q: The table shows data about student involvement in extracurricular activities at a local high school.…

A:

Q: 11 4. Let A= 0 1 10-1 Explain why one cannot solve Ax b for x exactly. Find the general form of x…

A: Let  A=11001110-1 and  b=123

Q: (c) (AN B) x C = (A x C). (Вx C). %3D (d) (AUB) × C = (A x C)_ (Вх С). %3D (e) Ax (B – C) = (A × B)_…

A:

Q: х+у+2z %3D0 Solve x — у + z%3D —1 2х + у +z %3D 2 by Gaussian elimination. а. (1,-1,-1) b. (1, 1,…

A:

Q: if was T:R>R Linear identifier grandfathero kert O I mT

A:

Q: The indicial equation of the differential equation x2y" – x²y' + (1 +x)y-0 is: O r(r-2)=0 O…

A: Here we use basic formula of indicial equation

Q: 7. If f(t)= (-2 if 0<t<2 f(t+3)=f(t) then f(t) is what type of function? | 3t if 2<t<3'

A: Periodic function : Let us consider a function f(x) then f(x) is said to be periodic function if foe…

Q: diff. eqs. =2 y" – 2x y + 2 y =x³sinx

A:

Q: Which of the following sets of vectors spans R^2?  A. {(1, 1), (–2, –2)} B. {(1, 1), (1, 2)} C.…

A:

Q: Evaluate the surface integral ff, F · dS for the given vector field F and the oriented surface S. In…

A:

Q: Evaluate: , asirnadz using a 3rd level (k=3) Romberg integration. Round off to 6 decimal places.

A: Use the following formulae, to estimate the definite integral ∫abfxdx by the Romberg integration…

Q: Eliminate the arbirtray constants

A:

Q: find the genral solution (D +2D,D, -2D, +2)u = 0

A: Given  Dx2+2DxDy-2Dy+2u=0   …………………(1) Consider the equation F(Dx,Dy)u=0 Here F(Dx,Dy) =…

Q: Evaluate: x2dz using trapezoidal method with n = 10. Round off to 6 decimal places.

A: To evaluate using the trapezoidal rule with n=10.

Q: Ms. Kemp asks her students throughout the year to record the number of hours per week they spend…

A: Best fit line can be identified by 2 methods first is  eye ball method which states that draw a…

Q: a) A = (1 - 2), B= b) A = B = (3 -7) 2 2 8 A = B = о 11 c)

A: