اختبار اختيار من متعدد تفاعلي: الأسئلة الموضوعية - مادة الرياضيات

أ

$s = \int_{-2}^0 2\pi (x^3 - 4x) \sqrt{1 + (3x^2 - 4)^2} dx$

ب

$s = \int_{-2}^0 \pi (x^3 - 4x) \sqrt{1 + (3x^2 - 4)^2} dx$

ج

$s = \int_{-2}^0 2\pi (x^3 - 4x) \sqrt{1 + 3x^2 - 4} dx$

د

$s = \int_{-2}^0 2\pi (3x^2 - 4) \sqrt{1 + (x^3 - 4x)^2} dx$

أ

$s = \int_0^1 4\pi e^x \sqrt{1 + e^{2x}} dx$

ب

$s = \int_0^1 2e^x \sqrt{1 + e^{2x}} dx$

ج

$s = \int_0^1 2\pi e^x \sqrt{1 + e^{2x}} dx$

د

$s = \int_0^1 2\pi e^x \sqrt{1 + e^2} dx$

أ

$s = 2\pi \int_0^{\frac{\pi}{2}} \cos x \sqrt{1 + \sin^2 x} dx$

ب

$s = 2\pi \int_0^{\frac{\pi}{2}} \cos^2 x \sqrt{1 + \sin x} dx$

ج

$s = 2\pi \int_0^{\frac{\pi}{2}} \sin x \sqrt{1 + \cos^2 x} dx$

د

$s = 2\pi \int_0^{\frac{\pi}{2}} \sin^2 x \sqrt{1 + \cos x} dx$

أ

$s = \int_1^2 4\pi \ln x \sqrt{1 + \frac{1}{x^2}} dx$

ب

$s = \int_1^2 2 \ln x \sqrt{1 + \frac{1}{x^2}} dx$

ج

$s = \int_1^2 2\pi \ln x \sqrt{1 + \frac{1}{x^2}} dx$

د

$s = \int_1^2 2\pi (\frac{1}{x}) \sqrt{1 + (\ln x)^2} dx$

أ

$s = 2\pi \int_1^2 \sqrt{1 + \frac{1}{4x}} dx$

ب

$s = 2\pi \int_1^2 \sqrt{x} \sqrt{1 + \frac{1}{4x}} dx$

ج

$s = \int_1^2 \sqrt{x} \sqrt{1 + \frac{1}{4x}} dx$

د

$s = 2\pi \int_1^2 \sqrt{x} \sqrt{1 + x} dx$

أ

$s = \int_1^2 \sqrt{2x} \sqrt{1 + \frac{1}{2x}} dx$

ب

$s = \int_1^2 2\pi \sqrt{2x} \sqrt{1 + \frac{1}{2x^2}} dx$

ج

$s = \int_1^2 2\pi \sqrt{2x} \sqrt{1 + \frac{1}{2x}} dx$

د

$s = \int_1^2 2\pi \sqrt{4 + \frac{1}{2x}} dx$

أ

$s = 2\pi \int_0^{\pi} \sin x \sqrt{1 + \cos^2 x} dx$

ب

$s = 2\pi \int_0^{\pi} \sin^2 x \sqrt{1 + \cos x} dx$

ج

$s = 2\pi \int_0^{\pi} \cos x \sqrt{1 + \sin^2 x} dx$

د

$s = 2\pi \int_0^{\pi} \cos^2 x \sqrt{1 + \sin x} dx$

أ

$s = \int_0^1 4\pi x \sqrt{1 + 2x} dx$

ب

$s = \int_0^1 2\pi x \sqrt{1 + (2x)^2} dx$

ج

$s = \int_0^1 2\pi x^2 \sqrt{1 + (2x)^2} dx$

د

$s = \int_0^1 4\pi x^2 \sqrt{1 + 2x} dx$

أ

$s = \pi \int_1^2 x^4 \sqrt{1 + 16x^6} dx$

ب

$s = 2\pi \int_1^2 x^4 \sqrt{1 + 16x^6} dx$

ج

$s = 2\pi \int_1^2 x^3 \sqrt{1 + 4x^6} dx$

د

$s = 2\pi \int_1^2 x^4 \sqrt{1 + 4x^6} dx$

أ

-32.6 ft/s

ب

$\sqrt{30} \text{ ft/s}$

ج

$-8\sqrt{30} \text{ ft/s}$

د

120 ft/s

أ

-32.6 ft/s

ب

$\sqrt{30} \text{ ft/s}$

ج

$-16\sqrt{30} \text{ ft/s}$

د

120 ft/s

أ

h

ب

$\sqrt{h}$

ج

h²

د

5h

أ

$t = 3\sqrt{10} \text{ s}, R = 3\sqrt{490} \text{ m}$

ب

$t = 10\sqrt{3} \text{ s}, R = 490\sqrt{3} \text{ m}$

ج

$t = \sqrt{3} \text{ s}, R = 40\sqrt{3} \text{ m}$

د

$t = 490\sqrt{3} \text{ s}, R = 10\sqrt{3} \text{ m}$

أ

t = 0.8 s

ب

t = 0.4 s

ج

t = 0.2 s

د

t = 0.33 s

أ

R = 70 ft

ب

R = 68 ft

ج

R = 71 ft

د

R = 69 ft

أ

t = 2.08 s

ب

t = 3.06 s

ج

t = 5.30 s

د

t = 4.33 s

أ

t = 1.026 s

ب

t = 16.4 s

ج

t = 2.03 s

د

t = 45.1 s