ven than L [₁ f(x) da = 7 and [° f (x) da : ^ [ f(x) dx = [₁ f (x) dx - [* f (x) de da A BIf If f(x) dx = 10 then [ © 11,³² 3f (x) dx = 21 ( -3 Ⓒ / f (x) dx | dx - [² f (x) dx = -10 6 (E) None of the given choices f (x) dx = -5, which of the following is NOT TRUE [²1(x) dx = 8

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A: Topic = Determinant

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A: fx is the partial derivative w.r.t. x

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A:

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A: The given equation is tan2y=x.

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A: Follow the procedure given below.

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A: We have to find the integral

Q: Solve for the second derivative of the following implicit function

A: We can solve this as follows:

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Q: Exercise 0.3.23. (a) Prove that the function f(x) = vex over [0, ∞). 1 1+e™ is strictly con-

A: As per the company's guidelines, we are supposed to answer only first question. Kindly repost the…

Q: 1. Prove that (a) A\B=A\(ANB) (b) A\(B\C) = (A\B)U(ANC) (A\B)\C=A\(BUC) (c)

A:

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Q: Question E.) 36 Al 2+3^ 3^ +4^

A: Explained below

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A: all continuous functions have antiderivative.  But noncontinous function doesn't have. It's true

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A: if the first derivative of function is positive, then the function is increasing.

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A: Solution is here

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Q: f(x) = -x² + ax + b, x < 2 (-ax + 7, x ≥ 2

A: Here we have to find the value of a and b such that,  f(x)=-x2+ax+b, x&lt;2-ax+7, x≥2 is continuous…

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A: Given; The side adjacent to angle A has length 4 and the side opposite angle A has length 14.

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A: Basic properties of ln are used

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

A: Topic:- calculus

Q: The domain of f(x)=y=. x-1 x+2 is

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Q: Q3/ Solve the following. 1. lim(1 + sin4x)cotx X-0 Inx 2. lim X→∞ √X

A:

Q: - nsider the function f(x) = 2x³ + 3x² – 36x - 54. a. Find the first derivative. f'(x) = b. List any…

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Q: 4. 53-10x dx

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Q: Which of the following is not true? A) None of the given choices 4dx B So lim o √x(x+6) 0 3 3 dx dx…

A: Option E is not correct .

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Q: 5. fe²x sin x dx 2x

A: Given ∫e2x sinx dxTo evaluate the integral:

Q: ورد ه ی

A:

Q: Find in each of the following. dx sin x 1. y = 1+cosx

A: We have to find the derivative

Q: A given partial fraction B can be evaluated as: A) 6/23 B) 7/35 C) 8/85 (D) 13/85 2x (x-1)(x+4)(x²…

A: Given, 2x(x-1)(x+4)(x2+1)=A(x-1)+B(x+4)+Cx+D(x2+1)

Q: dy dx 11 1 + x-F y.x +5

A:

Q: 3n³ + 2n² + 1 n→∞ 1+n-2n³ " (a) lim (b) lim x→1 x² + √√√x-2 1 - ln x

A: Topic = Limits