e (lnx) ³ X ₁ J1 e dx

Q: > > f(x) = 2x * d F(x)=(√2x+2/2) f' X+ dx f(x) = , (Vzx) = dx 2√2 x لعلم قواعد العاه م حسب الم d |…

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Q: Find x²-x-12 lim x--3 x2 + 8x + 15

A: We have to find limit of given function

Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Given the following functions: Find: f(j(x)) f(x) = 3x² - 5x + 2 g(x) = 7x² + 3x – 1 2x - 7 h(x) 5x…

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Q: 0 ex [ 224²1 ex + 1 J-In 2 dx

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Q: 3 1 L ₁₂x²²49dx +9 -3 RE

A: We have to find value of given Integral.

Q: SCcos2x + 2sin x)² dx

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Q: explain using a graph of (x) = X³-6x, for 0≤x≤3 With Six sub intervals, what the Riemann sum…

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Q: Consider the function f(x) = 4x²² Identify the locations where f has transition points. (Give your…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

Q: Evaluate the triple integral zdV, where E is bounded by the cylinder y² + 2² = 4 and the planes z =…

A: Given problem:- Evaluate the ∫∫∫E z dV, where E is bounded by the cylinder y2+z2=4 and the planes z…

Q: 7. Determine the volume of the region that lies under the sphere x² + y² +2²=9, above the plane z =…

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Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

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Q: The graph shown is the 1st derivative of function where its domain is 20 10 8 2

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Q: Find the general solution of nx dx = (x + 1)² ylnx

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Q: Find the mass of the rectangular prism 0≤x≤2, 0≤ y ≤2, 0≤z <3, with density function p(x, y, z) = =…

A: Mass = Density * Volume

Q: Evaluate lim, f(x) using the graph of f. x2+ 0 b. +00 6

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Q: 4 The terms of the Maclaurin series of the function f(x) = - -x are given by

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Q: 83 −1+1/²/(₁-¹² + e²) Option 2 1-1/2 (e-² + e¹²) Option 4 -1-1/17 (₁²¹ + e²) Option 1 1 + 1/² (e + +…

A: We have to find the inverse Laplace transform of 1s3-s. At first we find the partial fraction of the…

Q: The population of a small city is 90,000. 1. Find the population in 20 years if the city grows at an…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Evaluate the characteristic w "+k²x ²³w = 0 value of k in the following differential equation w…

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Q: B. False 4. Which of the following points is not the point of discontinuity of x-7 f(x)= - ?…

A: Given problem:- Which of the following points is not the point of discontinuity of f(x)= (x-7) /(x3…

Q: etch the region enclosed by y = x²y = √√x,x = 0,x = 1 and find its area.

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Q: The contact force therefore can be expressed as a a 27 F 2xÊ / ºr (d-1²) dr = -1°2xr 2xr Ozz dr n 2R…

A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

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Q: If f is a differentiable function and f'(x)=x55x4+ 5x³+2, then f is concave up on

A: As per our company guidelines we are supposed to answer only one question. Kindly send other…

Q: Find the area of the region bounded by the curves below. Sketch its graph and shade the region. 1.…

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Q: 2. Evaluate: 0 √|2 − x + x dx

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Q: 10dz 4z³-4z²+5z

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Q: Consider the following statements 1- The function f defined by f(x) = x³ is decreasing in R 2- If a…

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Q: 0 Q4)(a) Find the maximum eigen value for the system A = x (0)=(0.0299 1) with initial vector

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Q: Given the function f(x,y)=3x² - y over the rectangular region, R = {(x, y): 0 ≤ x ≤ 2,0 ≤ y ≤ 3}.…

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Q: 1. If f(x) = 5x4 - 6x² + 4x - 2 find f'(x) and f'(2).

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Q: 7) Find the critical point (s) of f(x, y) = 2x³ + 3y² - 9x² - 30y + 12x-3. Then use the second…

A: solution is given below...

Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: Find the Laplace Transform

A: Topic:- application of integration

Q: Find all the possible x-values of f(x)=√x - 2

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Q: x-1 x-1+√√2x-x²-1 Evaluate lim

A: Please refer to the image below

Q: Solve the differential equation y""+y" = 3x² + sin x − 2 cos x

A: We use techniques of higher order differential equations to solve the given differential equation.

Q: 4. Use the Fundamental Theorem to evaluate (x³ - 6x)dx . (Your answer must include the…

A: Use the integral of polynomial.

Q: 2xy - 3x²) dx + (x2² ty) dy = 0

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Q: Find the derivative of y with respect to x. y= (x8 Inx) 5

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Q: b. M8 kel 1 (442) (x + 2) (− + 3 )

A: Use Raabe's test to find weather series is convergent or divergent.

Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

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Q: Consider the equations 2x - A) x² - 2x x³ +8 0 and B) = 0. x³ - 8 Which of the following statement…

A: We can find the answer in the following steps.

Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 3 12 54 with initial vector

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Q: 3. y²(x + 2y) = 8

A: The Solution is dydx=-y2(x+3y)

Q: We know that for some real number k, the function 3ekx is the solution of the second- order…

A: This question can be solved by substituting the value of y in the given differential equation.

Q: 4. Let z = x2 + y³, x = 2st, y = s - t2, s = u", and t = u sin w. Compute for Oz ду and дw ди

A: Let z=x2+y3, x=2st, y=s-t2, s=uw, and t=u sin w.To compute for ∂z∂w and ∂y∂u.

Q: 3. Find y' and the equation of the tangent line to the graph of In(ay) = y²-1 at (1,1). 11: 11:

A: We have to find y' and equation of tangent

Q: 7. Use a change of variables to evaluate X 1 ² ₂ 2 ²4+ 8 da. -dx. +8

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