2) X 144 + (y - 5) - 16 = 1 ||

Q: B-Soive the Differential equation : Y 1 x√√x+x = 0, y(9)=1.

A:

Q: y = 25

A: differentiation of constant term is 0.

Q: Solve the following system of inequalities 2x+y-8>0 3x-y+6>0

A:

Q: 2x - 6 Let f(x) = if x 5 -4x+ 20 Find the following limits: 1. lim f(x) = x-5 2. lim f(x) = x-0…

A:

Q: Find the critical points of f(x) = -2x4 + 2x² - 6 and apply the Second Derivative Test (if possible)…

A: Given problem:- Find the critical points of f(x) = -2x² + 2x² - 6 and apply the Second Derivative…

Q: 3. Let there be some a, b ER such that f(a)f'(a) = f(b) f'(b) + 1. Show that f f(x)f"(x)dx ≤ 1.

A: This is a problem related to integration. Based on the general formula and concept we will prove the…

Q: Use Ayf '(x)Ax to find a decimal approximation of the radical expression. √√5 What is the value…

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Q: Q3/ Evaluate four of the following integrals. ( x³+1 sinx cosx dx b. f*+¹ dx c a. S √1+cos2x x²

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Q: Evaluate 1 tan |2x| dx 100

A:

Q: dx x lnx√9 ln²x-1 S

A: Given: I=∫dxxlnx9ln2x-1   ...(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

A:

Q: 28 5. How is can be express as rational number with numerated the number 47 84 O4/7 O-4/12 O-4/7…

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Q: Is the function given by g(x)= x+6 continuous over the interval (-4,4)? Why or why not? Select the…

A: Given :g(x)=1x+6   (-4, 4)

Q: in a graph What is the cartesian product? And give an examples

A: Cartesian product is also called box product of graphs. The Cartesian product of 2 graphs, G and H,…

Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

A:

Q: 1. what is the basic concept of a vector? How is this vector calculated? What techniques s/rules can…

A: A vector is a quantity which have direction as well as magnitude.

Q: 2. |a + ib|= √a² + b² O True O false

A: This question is based on modulus of complex number.

Q: lim (3x - 5) x--1

A: limx→-1(3x-5) = limx→-13x - limx→-15  [ lim(a - b) = lim a - lim b ]                         = 3…

Q: Activity 6: Challenge yourself Application of Differential Equation: In a farm, there were initially…

A:

Q: ) Write a MATLAB code for solving the following equation : N Y = [i+x i=1

A: MATLAB code

Q: Determine the support reactions at the fixed support. Neglect the size and weight of the beam.

A:

Q: Solve the differential equation y" - 2y + y using the method of variation of parameters. ਜ

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Q: (6xty2) dx ty (2x-3y) dy = 0

A: To solve the given exact differential equation.6x+y2dx+y2x-3ydy=0

Q: In Problems 1-4, find the Laplace transform of the given function. Determine a condition on s that…

A: Given :f(t)=sin3tf(t)=etcost

Q: Think back to early in the semester when the weather was cold and often snowy. Imagine that in a…

A: We have to find the rate of change of volume and time required.

Q: Find the area of the shaded region. 4 f(x)=x²-8x³+21x², - 8x³ +21x², g(x) = 6x + 36 The area is.…

A:

Q: Determine if the function is continuous at a given value of x. Show your complete solution.

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Q: Forces of 36N and 50N act upon a body at a 50° angle. Find the magnitude of the resulting force and…

A:

Q: Which of the following is not true about the curve * x² 2 y = (x-2)(x-1) The vertical asymptotes are…

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Q: if A= 2 L3 2 1 -2 31 3 The det (A) is

A:

Q: Show that f Va²-t²dt = a² sin-¹(2) + x√a²-x².

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Q: Q2, 2) State both the triangle inequality and Cauchy-Schwartz inequality in SIMPLE AND CONCISE AND…

A:

Q: (x+ siny) dx + (x cosy - 2y) dy = 0

A:

Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

A:

Q: Scoth (2) dx

A:

Q: H H ED Ay H' I J' X

A: It is reflection about y axis

Q: f sech³x tanhx dx

A:

Q: Use power series operations to find the Taylor series at x = 0 for the following function. 8x ex The…

A: Taylor series function y=8xex at x=0

Q: 10- 7- A. 3 О А О в О с D 12√3 √9 B. V3 11 С. 1 D -1

A: Use the basic property og exponents

Q: f 4x² csch² x³ dx

A:

Q: (y² - 2xy + 6x) dx - (x² - 2xy + 2)dy - 0

A: We have to find out solutions

Q: 3 п 2 2 cos² 4x dx

A:

Q: √₁² x (1 – x²) dx

A: Topic = Integration

Q: Q3: Show that b. I — = ƒ‰e¯¹8(2t − 2). dt = ½-½ 2e C. L²u(t)dt = = [cosnt. 8(t − 2) + 38(t+1) +…

A: We have to prove the given statement.     According to our guidelines we can solve only three…

Q: (242²-121²) 242*121 O 1 O 2/3 O 11/3 O 3/2 ||

A: This question is based on formula  a2 - b2 = (a-b)*(a+b)

Q: S dx coth6x

A: We will solve the integral in the following step.

Q: ex V1-e2x 1. S dx

A:

Q: A rotating light is located 11 feet from a wall. The light completes one rotation every 5 seconds.…

A: This question can be solved using the rate of change of physical quantities.

Q: 8- The simple expression of the 21 a b c 3a³b²c² is

A: Given,  21a-3b5c83a5b-2c7

Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(x) = (x + 1)100 2. f(x) =…

A: 1. fx=x+11002. fx=x2+x102x+13. gx=x31-x4 Note:    Multiple parts are given, we are answer only three…