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وضع الدراسة · Algebra & Calculus Pinnacle: The Definitive Exam Problem Bank
بنك الأسئلة
Algebra & Calculus Pinnacle: The Definitive Exam Problem Bank
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الأسئلة وإجاباتها
25 questionsBank.questionsCount
1
Solve the integral of x^3 from 0 to 2.
- أ2
- ب4
- ت6
- 8
2
Find the derivative of f(x) = e^(2x)sin(x).
- أe^(2x)(2sin(x) + cos(x))
- ب2e^(2x)cos(x)
- تe^(2x)(cos(x) - 2sin(x))
- e^(2x)(2cos(x) + sin(x))
3
Evaluate the limit: lim (x -> 0) (sin(x)/x).
- أ0
- ب0.5
- 1
- ثDoes not exist
4
Find the second derivative of y = ln(x^2).
- أ1/x^2
- ب-1/x^2
- -2/x^2
- ث2/x^3
5
Solve the equation: 2^(x+1) = 32.
- أ3
- ب4
- 5
- ث6
6
Calculate the area under the curve y = x^2 between x = 1 and x = 3.
- أ5
- ب9
- ت7
- 8 2/3
7
For the sequence defined by a_n = 3n + 1, find the sum of the first 10 terms.
- أ140
- ب145
- ت150
- 165
8
Determine the inverse of the function f(x) = 2x + 3.
- (x - 3)/2
- بx + 3/2
- ت2x - 3
- ث1/(2x + 3)
9
Find the eigenvalues of the matrix A = [[2, 1], [1, 2]].
- أ1 and 2
- ب3 and -1
- 3 and 1
- ث2 and 0
10
Evaluate the integral ∫(3x^2 - 4x + 1)dx.
- x^3 - 2x^2 + x + C
- بx^3 - 2x^2 + x + C
- ت3x^3 - 4x^2 + x + C
- ث3x^2 - 4x + 1 + C