Q.6) A series E1 (cos(n) n=1 a) Diverge is: b) Converge C

Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: 1. 3r, If R is the region in the first quadrant bounded by z-axis, 3r + y = 6 and Y evaluate J[34 3y…

A: Given: I=∫∫R3ydA And The region bounded by the curves is; 3x+y=6, y=3x and x-axis y=0.   As we know…

Q: 2. Determine the centroid of the area bounded by the curves y = 4x + 16, x = -2, x = 5 and x-axis.

A:

Q: (f) The function f(x) = √√x is differentiable at x = 0. ○ True O False

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: According to the instructions, We are instructed to answer only one question , the other questions…

Q: S2022-Math X Untitled document - Google Doc x | + KgMnhSischCY6IngmjxmLQEz3U86qFNPsb6nZE/edit Login…

A: Given function, g(v)= v³-27v+5 So g'(v)= 3v²-27 To get critical numbers of g(v) we put g'(v)=0

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a =j+ k, b = i +4j -…

A: Given a=j+k b=i+4j-2k

Q: A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the…

A: Given problem:- A rectangle is to be inscribed in an isosceles right triangle in such a way that one…

Q: Find the derivative dy dx || dy dx of the function y = sec (₁ +√4+ sin ¹(4 + ²))

A:

Q: Find [₁₂² r²dA where R = {(x, y) | 36x² +9y² ≤ 324} R 81T X

A:

Q: Find the volume of the parallelepiped whose edges are represented by A =î - 13ĵ+ 4k, B = 3î + 2j-7k…

A:

Q: Question 2. Evaluate the following integral 1. 1., integration (shade the region). Show all your…

A: Given problem:-

Q: Find the area of the region enclosed by the circle r = 16 sin θ.

A: A detailed solution is given below.

Q: se the formula to find the derivative of below functions. 5x²-7x+2 2³-9 (1) ƒ(x) = ( 31⁄4 + x) .· (2…

A:

Q: Find Maclaurin's series f(x) = √2x

A: We have to find the Maclaurin's series for f(x)=e2x

Q: What is the solution of 3x2 + 6xy2 + (6x2y + 4y2 ) y' = 0

A:

Q: Sketch the graph of a function f that is continuous on [1, 5] and has the given properties. absolute…

A: Given problem:- Sketch the graph of a function f that is continuous on [1, 5] and has the given…

Q: 2. (D5 – 2D³ 2D² – 3D − 2) y = 0

A:

Q: Calculate ∞0 1 e -3t √t - dt

A:

Q: 3 (3x+1) dx X-1 1₂2²

A:

Q: The waiting time T at a store counter is a random variable with exponential probability density. If…

A:

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A: Given: graphs y=x^3 and y=2x^2

Q: Perform the indicated operation. Show all work possible. (-4+5i) -(6-9i)

A: a+ib +c+id = (a+c) +i(b+d) a+ib-(c+id) =(a-c) +(b-d)i

Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…

A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

Q: S |8x-x2 dx

A:

Q: (c) f cos³ 4tdt

A:

Q: 2. A plane is defined by the equation 2x - 5y = 0. a. What is a normal vector to this plane? b.…

A:

Q: Determine the domain and range of function f(x) = elnñ — arcsin (1²²)

A: This question can be solved using the concept of domain and range of inverse trigonometric…

Q: Question 17 of 55 Compare 4 and -2. Which of the following is true? A. 141 -2 OB. 141-21 and 4 > -2…

A:

Q: 1. Find the value of (0) for a solution (x) to the initial value problem: 6y" + y' — 2y = 0; y(1) =…

A:

Q: S x² √x²+4 dx

A:

Q: 3. Integrate the function below using Algebraic and 4 lines only (solution + answer). substitution S…

A: ∫x11 dx

Q: 8. If the slope of the line (k + 1)x + ky − 3 = 0 is -2, find k.

A:

Q: What is a solution of the first order equation Y (K+1) = Y(K) +5 ? Ans: y(K) = 20+5k

A:

Q: Q3/ solve the differential equation below: 1. 2-3x+2y=0 (Complementary Function) k

A: The given differential equation,       d2ydx2-3dydx+2y=0

Q: Find derivative of the following function. 7x -7x + e y = X

A:

Q: Let X be the 3 x 3 matrix such that left-multiplication by X has the same effect as applying the…

A: In this question we have to find the (1, 2) entry of x.

Q: Ал So for sins (co COS 8 5 ¹ (1) d. dx

A: We can solve the question as below.

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

A:

Q: 1. A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

A:

Q: (b) Find the general solution of: = yx² - xy ax Given z = y when x=1, determine the particular…

A:

Q: Prove lim-13x+2=-1

A:

Q: Q.24) cos(sin Q.25) f sin6x sin5x dx = a)(sinx-1)+c costix of(cosx +1)+c 11 +c simila b) (sinx+1 11…

A: 25 To solve; The integral ∫sin6xsin5xdx Formulae used: Trigonometric identity:…

Q: A plane is defined by the equation x - 7y - 18z = 0. a. What is a normal vector to this plane? b.…

A: The given equation of the plane: x-7y-18z=0.

Q: Let R be the region enclosed by the curves y = x³ and y = 2x² The area of R using horizontal element…

A: The area of the region R enclosed by the curves, y=x3 and y=2x2 is given by Area=∫cdg(y)dy

Q: Q.18) A series (-1)4+1 2k+1 , is: a) diverge by alternating series test c) converge by comparison…

A: I have appended the formula used in the solution part of the question

Q: (c) Given the following second-order differential equation d²y 2 +7y-3x²=5 dx² Find the general…

A: We have to find the solution of the given differential equation.

Q: Find the volume of the A =î - 13ĵ+ 4k, B = 3î + 2ĵ-7k and C = î - 2ĵ + 2k. parallelepiped whose…

A:

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 25x² +…

A:

Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) n = 4 x + 1 P4(x) = =

A: The function is  f(x)=4x-5x+1