d) Determine whether g is even, odd or neither. e) Find (go i)(x). f) Given that (ho i)(x) = 4x? - 8x + 7, where z 0, calculate the value of a

Q: G) for G) For anycurve, x= 3t,y=312,2=2t3, Show that 6 -

A:

Q: Given the function C(r) = ( – 2r – 10)°( – 5r – 15)*, - its roots are and their multipicities are

A:

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: Suppose that f(r, y) = 3x y + 8a? + 4y? then find the discriminant of f.

A: f(x,y) = 3x²y² + 8x² + 4y² So, fx = 6xy² + 16x  &, fy = 6x²y + 8y  &, fxx = 6y² + 16 &,…

Q: Find the B.C.R let XXgg, Xn vN (@,1) H:0-2

A: We have to find the best critical region which we will find by using neyaman Pearson lemma.

Q: If f(x,y)=xe/2+118x?y, then asf at (1,1) is equal to əx²əy³

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Q: f(x,y)=xe*/2+275x²y³, then at (1,1) is equal to əx²əy³

A:

Q: O Solve Cauchy Euler equation a'y"- 3ay/-2y = 0. %3D

A:

Q: D Express the interval in (a-k, a+R) aad 1 x.-alc.R I(3x+1)?(<!

A: |(3x+1)2| &lt;1 both side we take square roots |3x+1|&lt; +1 3x+1 &lt;+1 3x+1&lt;1    or    3x+1&lt;…

Q: (2) for 1t 1-1 + what Valuer of x doesi Corverge

A: Using the convergence of geometric series.

Q: Find the number in the interval [0, 7] such that the number minus its square is as follows. (a) as…

A:

Q: 04. Show that T = satisfies the equation T + Tyy = T³. %3D

A:

Q: ar to 2x -By + 2 =

A: we have to determine such that 3x + 2y – 7 = 0 is perpendicular to 2x -By + 2 = 0.

Q: y= 2csc , for x in [- 27,0) U (0,2r] 4

A: We will convert y in terms of x

Q: 7. For what values of m does the function y = e™* satisfying the following equation y" – 3y' – 10y =…

A: We have to find the values of m.

Q: 9. Given that f(x, y) = xy² + x²y³ +x³y* (a) Find- (b) Find (c) Find

A: We are solving the first three subparts and for the next subparts questions post the question…

Q: B) Find the approximate roots of the following equation: f (x) = x³ – 8 = 0, on the closed interval…

A: Use the bisection method to find the roots of x3-8=0 find two points such that f(a)fb&lt;0…

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A: We have to prove that GH=2 PG if P is the midpoint of GH. Drawing the figure of given condition, we…

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Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

A:

Q: Find the values of the constants a, b, c so that F = (axy + bz3)i+ (3x² – cz)j + (3xz? – y)k Is…

A: A vector F→ is said to be irrational if and only if cure F→ =0 i.e∆ x F→ = 0Given F→ = (axy+bz3) i^…

Q: 2. Find all solutions to the following equation on the interval [0, 27|]. TCOS X п 11т a. X = 6' п…

A: Given:

Q: Solve by finding an I.F 1. xdy – ydx = (r² + y² kdx

A: The given equation is of the form Mdx+Ndy=0to check the differential equation is exact or not if it…

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A: Given function is gz=z13+z4+2z2+1. We have to find the number of zeroes of gz in the first quadrant…

Q: Suppose that z = 3 – i is a root of the equation - ax" + bx + cx + d = 0, a,b, c, d E R

A: given one root of the equation ax7+bx4+cx+d=0. a,b,c,d∈R is z= 3-i we know that complex roots occurs…

Q: Let z=xin(x2+y2-e4)-176xy, x=te, y=est, If the value of z when s=2 and t=1 is equal to Ae?+Be4, then…

A: Explanation of the answer is as follows

Q: Use an appropriate substitution to solve the equation z15 and find the solution that satisfies y(1)…

A:

Q: given f (2) = 3z - 6z+ j3. what is the value of u(3, 2)

A:

Q: 3 S(x) = 6x² + x – 7 Find the coordinates of the point of inflection on and prove that it is a point…

A:

Q: Find the number in the interval [0, 9] such that the number minus its square is as follows. (a) as…

A: To determine the number in the interval [0, 9] where the given function is large as possible and…

Q: Find the real values of x and y such that (x + iy)2 = -8 + 6i.

A:

Q: r {(2) = In(V32" + 5x° + + 6), find f'(r). Use exact values. If

A: Given function is fx=ln3x6+5x3+67      =ln3x6+5x3+617=17ln3x6+5x3+6

Q: 48. Estimate the height of the Gaussans and comparé the height to (2x) .

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

Q: Find x E R that satisfies -2 , – 02 + 2 vz U2 det = x det + – ö4 2 0 + 03 U3

A: The key concept to solve the given problem is that : The determinant of a matrix remains unchanged…

Q: Find the value of n in the function w = x •rn satisfies the equation Wxx + Wyy = 0, where r2 = x² +…

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Q: Q5) Solve the following using Trapezoidal rule with n6 f(x) = f*xinx. dx

A:

Q: Given that (r²- (x² – 4)? y = x>2 show that Ax² + 12 dy x>2 dr x*(r² - 4)? where A is a a constant…

A: From property of derivatives,

Q: What is the axis of symmetry for h(x) = 2x² – 4x +1 ? OA. X = O B. X = -2 OC.x=- 1 4 O D.X = 1

A: A graph of a quadratic function is a parabola.  Let the standard form of quadratic function is  y=…

Q: (b) If f (2) = (249 + 8) e8ɛ, then at how many points the function f (2)is not differentiable? (c)…

A:

Q: Find the constants c0, c1, and x1 so that the quadrature formula Z 1 0 f(x)dx = c0f(0) + c1f(x1),…

A: Consider the given quadrature formula, ∫01fxdx=c0f0+c1fx1 here we need to determine the constants…

Q: 1- Form the PDE by eliminating the arbitrary constants from the following equation : z = (x - a)? +…

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Q: g) u = x³ + 3x²y

A:

Q: Put the equation into the form x'(t) = g(t)h(x), and solve by the method of separation of variables.…

A: Factor the equation

Q: R: Given the IBvp の o<xcL Solve for 4(XE).

A: Using separation of variables and superposition principle

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A: Consider the given equation as x+6ydx-2xdy=0

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A: The objective is to find the value of x

Q: :Evaluate , V1 + x dx using Gauss-Quadrature formula (n=4).

A:

Q: Write a in the form a = arT + an N at t-0 for R(t) = t2i +

A:

Q: Find the solution such that y' = 2(2x – y) passes through the point (0, -1).

A: From the given differential equation: y'=22x-y So, we can also write as: dydx=4x-2y....(1) Now use…