[object Object]
[object Object]
विषयों
मुख्य विषय
अध्याय
Advertisements
Advertisements
Mathematics
Find A−1, if \[A = \begin{bmatrix}1 & 2 & 5 \\ 1 & - 1 & - 1 \\ 2 & 3 & - 1\end{bmatrix}\] . Hence solve the following system of linear equations:x + 2y + 5z = 10, x − y − z = −2, 2x + 3y − z = −11
Chapter: [4] Determinants
Concept: undefined >> undefined
Concept: undefined >> undefined
An amount of Rs 10,000 is put into three investments at the rate of 10, 12 and 15% per annum. The combined income is Rs 1310 and the combined income of first and second investment is Rs 190 short of the income from the third. Find the investment in each using matrix method.
Chapter: [4] Determinants
Concept: undefined >> undefined
Concept: undefined >> undefined
Advertisements
\[\int\sqrt{3 + 2x - x^2} \text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\sqrt{x^2 + x + 1} \text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\sqrt{1 + x - 2 x^2} \text{ dx }\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\cos x \sqrt{4 - \sin^2 x}\text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int e^x \sqrt{e^{2x} + 1} \text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\sqrt{9 - x^2}\text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\sqrt{16 x^2 + 25} \text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\sqrt{4 x^2 - 5}\text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\int\sqrt{2 x^2 + 3x + 4} \text{ dx}\]
Chapter: [7] Integrals
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx} + y \tan x = x^2 \cos^2 x\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\left( 1 + x^2 \right)\frac{dy}{dx} + y = e^{tan^{- 1} x}\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
x dy = (2y + 2x4 + x2) dx
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[y^2 \frac{dx}{dy} + x - \frac{1}{y} = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\left( 2x - 10 y^3 \right)\frac{dy}{dx} + y = 0\]
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
(x + tan y) dy = sin 2y dx
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
dx + xdy = e−y sec2 y dy
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
\[\frac{dy}{dx}\] = y tan x − 2 sin x
Chapter: [9] Differential Equations
Concept: undefined >> undefined
Concept: undefined >> undefined
