1. Find the limit. lim x118 5x³ + 3x² X- 7x²

Q: Ifv= (x² + y² +2²)−¹, then 320 + + is 8²v 8² Əy² 822 1 -1 -1/2 Other:

A: Given that     v = (x2+y2+z2)-1/2

Q: The Critical Point of y = xe*

A: Given; y=xe^x

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim x3+4x+3…

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Q: (3x² + 5x-2) dx

A:

Q: Find the radius of convergence and interval of convergence of the series –3)”.gn 'n + 1 n=0

A:

Q: If find the value of a. 3 S₁ S² (x + 2y) dydx = 10, 0 a

A: Given: ∫01∫a3(x+2y)dydx

Q: Question 1 A body cools from 75°C to 70°C in 2 minutes. What will additional time (in minutes) it…

A:

Q: The exponent in the exponential form is the value of the logarithm. (A) True B) False

A: Topic:- algebra

Q: 3. f(x)=(5x² - 4x³ )³(secx + tanx)³

A: Given; f(x)=(5x2-4x3)3(secx+tanx)3.

Q: 6. lim x->0 (1+x)¹/5 (1+x)¹/3 - (1-x)¹/5 - (1-x)¹/3 (Ans:/)

A:

Q: (Differential Equations) A thermometer is taken from an inside room to the outside, where the air…

A: It is given that A thermometer is taken from an inside room to the outside, where the air…

Q: Applications

A:

Q: Question 4 If f is continuous on [a,b], then T) True F False [xf(x)dx= x₁ b a f(x) dx

A: Given query is to find the statement is true or false.

Q: what is Γ(1/2) ? show solution. prove that it is equal to -1/2!

A:

Q: The Minimum point of y = 3x+6

A: Given problem:- The minimum point of y=x3/(3x+6)   method:- We use first derivative test  When at…

Q: Question 2 Given a differential equation as करवर d'y dy dx² +6x +6y=0. dx By using substitution of x…

A:

Q: Find the limit. x² - 25 lim x 5 x²8x + 15

A: We need to find the limit:limx→5x2-25x2-8x+25

Q: Find the critical points of the function f(x) = x³ + ¹/5x² + 50x + 7. Use the First Derivative Test…

A: We have to find the maximum and minimum.

Q: (√²+2) dt

A: We have to integrate to given function

Q: 3.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A: apply Pythagoras

Q: The reverse order of fo Say હરે e² dxdy is equal to e-1 8e None of them

A:

Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

A:

Q: 3x+ +4x +4y² = 25x³

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the derivative 4cos4t sin4t O2cot4t O Other: -1/2 cot4t of the parametrically defined curve (t)…

A:

Q: Lim x²-3x-4 x²-1

A: Topic:-  limit calculus

Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: 7) Find f(x) if f(x) = (103x + 2)2. a) 6 In 10 10x + 4 b) 6. 106x 105x + 3 c) (6x + ○ 4) 4) 106x d)…

A: Topic:- application of derivatives

Q: 8. The general solution of y"- y = x²ex + 5

A:

Q: cot3x Lim X-o cotx 0

A: Given limx→0cot3xcotxTo evaluate the limit:

Q: an airplane is moving horizontally at 150 mph over an observer at a height of 4000ft.how fast is the…

A:

Q: 1. Consider the function f : R² → R such that f(x, y) = 2xy² + x² − 2xy = y + 1. (a) Write down the…

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Q: Numerical Integration: •2 S² 1. -dx X

A:

Q: 4 The reverse order of So Say 0 J4y +2 ex² dxdy is equal to e-1 se O None of them O

A: To evaluate the given integral by reversing  the order of the integration.∫01∫4y4ex2 dx dy

Q: 0.7 Estimate f(x) dx from the graph off as 0 shown in figure. Use the trapezoidal rule. Click here…

A: This question can be solved using the formula of trapezoidal rule of approximation of definite…

Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A:

Q: Numerical Integration: r2 1 S² = = X 0 1. dx

A: Please find the solution:-

Q: 2 = xey + yex, Find x az z дх' ду

A:

Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: Find the length of the arc of the curve y = (1 + x²) fron the point where x = 0 to the point where x…

A:

Q: 3. Using the Gauss-Seidel method make three iterations for the linear svstem x(0) = 0, 4x - y -z =…

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Q: Find the following improper integrals a) Ꮭ -dx 1 x2+x ex b) fodr dx e2x+3

A: We have to solve the given improper integration

Q: 7. Find the area between f(x)=-x² + 4x and g(x) = x² - 6x +5 over the interval 0≤x≤1 Ei..

A:

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A:

Q: (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: The given differential equation is: D3-5D+4y=0 when x=0, y=-2, y'=8, y''=0.

Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

A:

Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: 2.2 5 (2x² – 3x) dx

A: We have to evaluate

Q: A 5kg sample of plutonium-239 has a half-life of 21,400 years by emitting a 5.157 MeV (million or…

A: Let's find time to taken sample to degrade to 4.5kg.

Q: Question 5 Which of the following is not true? A None of the given choices ℗ √ ² in(x²) dx = I'm √…

A: The objective is to find which option is not true.

Q: The equation of the line containing the points (5,6) and (3,4). y=x-140 y=x+2.80 y=x-2.00 y=x+1DO

A: Topic:- application of geometry  And equation of straight line