,1 x² - 4x⁹+ A) True B False sin(x) (1+x²)² |dx=0

Q: Question 36 To integrate x³ ex dx, we apply integration by parts and in the form u dv, dv is set as:…

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Q: 3.§ sin* 2 x sin 4 xdx

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Q: Given f(x,y) = x²y-3xy³. Evaluate 2 S₁² 0 fdx

A: Follow the procedure given below.

Q: Suppose that fn ⇒ f on R and that each fn is a bounded function. Prove that f is bounded.

A: Solution

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Q: 5. sin(x + y) = y² cosx

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Q: e. Find the second derivaitve. f''(x) = = f. Use parts b through e to identify maximums as points.…

A: e.fx=2x3+3x2-36x-54f'x=6x2+6x-36f''x=12x+6f. for maximum point f'x is +ve to…

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: dy Q1: Find the for the following functions: dx 1- y = e(x+ln 5x) 2- y cosh-¹ sin 2x -1 3- y = asinh…

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Q: Problem 7 x√x + 1 dx

A: Given ∫07xx+13dx

Q: = Use the Riemann's Criterion for integrability to show that the function f(x) integrable on [0, b]…

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Q: Addition:Subtraction as___:antidifferentiation

A: We can answer the question as below.

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A: Distance of satellite from station A and height of the satellite above the ground is

Q: Find the length of the arc of a circle of diameter 10meters subtended by a central angle of π/4…

A: Given:  diameter =10meters

Q: In Exercises 1 and 2, compute the solution of the given IVP. 1. d²y dt2 +9y2 cos(3), 2 cos(3t),…

A: Since you are asking multiple questions. We are answering only the first question as per our…

Q: Draw a picture to find ALL angles in 0 ≤ 0 < 2TT. 1 Ay mple: For tan(0) = = draw a circle. Label the…

A: Topic :-  trigonometry

Q: 1. Evaluate the given integral Q. Q - L. f.²² (y - 2x^²) dz dx dy Your answer

A: According to Bartleby guidelines, we are supposed to do only one question. If you want more to be…

Q: 4. f²₁(x² x)dx 5. (4- x²) dx

A: topic- definite integral

Q: [ f(x) dx = -4 and f (x) da = 10, which of the following is NOT TRUE If f(x) dx = 3 then [₁ f (x)…

A: We can check the false option as below.

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? (fg)' =…

A: 1.the formula of derivative of two function is fg'=fg'+gf'

Q: 6. Use the definition, determine whether the function g(x) = x = 2. Justify the conclusion. x² -…

A: The solution is given in the next step.

Q: 4: Find aun -2 2y² Sin(xy) dx dy

A: Topic:- application of integration

Q: f(x)-f(a) a. Use the definition mtan = lim x-a x→a b. Determine an equation of the tangent line at…

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Q: Q2: Find Maclaurin series for the function f(x) = (4x) (four terms only), then find the error…

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Q: A. Determine if p = ï - 3k and q = 61 - 3j - 4k are parallel, orthogonal or neither. 3. Find the…

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Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: 10. State whether the following series converge or diverge. Justify your answers. (b) Σ (# + gr)…

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Q: Let F(x) = f(x¹) and G(x) = (f(x))¹. You also know that a = Then F'(a) = = 12, f(a) = 3, f'(a) = 4,…

A: Fx=fx4 and Gx=fx4a3=12, f(a)=3, f'(a)=4, f'a4=7

Q: tan² y = x (By implicit differentiation)

A: The given equation is tan2y=x.

Q: Scanned with CamScanner 10.f cota y sec y dy

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Q: Find the determinant of the matrix, O22-122-13 O22-12A +13 O²+12+13 02-13 2-11 4 6 2-1

A: Topic = Determinant

Q: 6. (10 points) Give the equation of the tangent line of the following function at point a = 1: xe…

A: Solve by Differentiation

Q: 8. f₁(r + 1)²dr Hint: square first

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Q: Given Cost and Revenue functions C(q) =q³-8q² +54q+5000 and R(q) = -3q² + The costs are $ (Round to…

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Q: 18) lim xcos X

A: limx→∞xcos1x

Q: ورد ه ی

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Q: X √2x²-4x-7 S dx

A: Solution…

Q: a problem of physical  phenomena that can be solved as differential equation using Euler method.

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Q: Plot the following curves in polar coordinates. 50 (52) 1. r = 2 + cos

A: We have to graph the given polar curve.   According to our guidelines we can solve only one question…

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Q: 1. f(1-cot 2 x)² dx

A: Solution:

Q: Question 29 In the quadratic equation Ax²+BX+C =0, describe the roots when B²-4AC is zero. (A) The…

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Q: 6-18x4 ic notation and fractions where needed. Give your answers in the form of comma separated li…

A: Topic:- calculus

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Q: x³ + 3y = xy (By implicit differentiation)

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Q: Find the transition points. y = 3x7 - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: Q2: A. Determine if p = ï-3k and q = 61 - 3j-4k are parallel, orthogonal or neither. B. Find the…

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Consider the sequence -13, -3, 7, 17,.. 10n + 7. ...9 a. How many terms are there in the sequence?…

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