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Yes, Motherhood University offers an MBA programme of two years. Candidates can enrol in the course in online or offline modes. Admission criteria is merit or entrance-based. Additionally, the fulfilment of eligibility criteria is crucial. The university also offers a part-time MBA and Executive MBA programme. 

This is a Long Answers Type Questions as classified in NCERT Exemplar

Pesticides can be defined as the synthetic toxic chemicals  which are meant to kill pests. Most of the organic toxins are water insoluble and non- biodegradable in nature. These high persistent toxins are transferred from lower trophic level to the higher trophic level through the food chain. Over time, the concentration of toxins in higher animals reaches a level which merely causes serious metabolic and physiological disorders. 

Pursuing MBA in Norway is moderately expensive, with annual tuition fee as low as INR 1 L. On average, the annual cost ranges between INR 1 L - INR 25 L. Check out the table below for the annual tuition cost required in the top B-schools in Norway:

The volume v of a cube with side ‘x’ metre is v = x³

So,  $dv=\left(\frac{dv}{dx}\right)\Delta x=3x^2\Delta x.$

∴increase in side, Δx = 3% of = $\frac{3x}{100}.$

∴dv = 3x²π $\frac{3x}{100}-0.09x^{3}m{}^3.$

Hence, option (C) is correct.

We have, y = f (x) = 3x² + 15x + 5.

$\frac{dy}{dx}=6x+15$

$\Rightarrow$ dy = (6x + 15) dx

$\Rightarrow$ Δy = (6x + 15) Δx.

Let, x = 3 and Δx = 0.02 then,

Δy = f (x + Δx) - f (x)

$\Rightarrow$ f (x + Δx) = f (x) + Δy = f (x) + (6x + 5) Δx.

$\Rightarrow$ f (3 + 0.02) = 3 (3)² + 15 (3) + 5 + (6 × 3 + 15) (0.02).

$\Rightarrow$ f (3.02) = 27 + 45 + 5 + (18 + 15) (0.02).

= 77 + 0.66

= 77.66

∴ Option (D) is correct.

Yenepoya Institute of Technology offers a wide range of BTech courses. The admission criteria is generally same across all of the offered specialisations. Students can visit institute's official website to start the process of admission. YIT Mangalore offers these programmes via its departments. Check out the list below to know about Yenepoya Institute of Technology BTech courses:

• Mechanical Engineering
• Electronics & Communication Engineering
• Computer Science & Engineering
• Electrical & Electronics Engineering
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• AI & ML
• CSE (IoT, Cyber Security including Blockchain Technology)

Let be the radius of the sphere &r be the error in measuring the radius.

Then, π = 9m and Δr = 0.03m.

Now, surface area S of the sphere is

S = 4πr²

So,  $\frac{ds}{dr}=8\pi r.$

∴e, this = $\left(\frac{ds}{dr}\right)$ Δr = 8πr.Δr = 8π × 9 × 0.03

= 2.16πm³.

Appropriate error in calculating the surface area is 2.16πm³.

Let x be the radius of the sphere & Δπ be the error in measuring the radius.

Then, π = 7m and Δr = 0.02m.

Now, volume v of sphere is

$V=\frac{4}{3}\pi r^3.$

So,  $\frac{\mathrm{dU}}{dx}=4\pi r^2$

$\Rightarrow dv=\left(\frac{dv}{dr}\right)\cdot \Delta r=4\pi r^2(\Delta \pi )$

$\Rightarrow$ dv = 4π (7)² (.0.02) = 3.92 πm3

∴The appropriate error is calculating the volume is 3.92πm³.

We know that, the surface area 5 of a ‘x’ when length cube, is S = 6x².

So,  $dS=\frac{dS}{dx}\Delta x=12x\cdot \Delta x.$

Given decrease in side,  $\Delta x=-1\mathrm{\%}x=-\frac{x}{100}.$

$\therefore dS=12x\left(-\frac{x}{100}\right)=-0.12x^2 m^2.$

We know that, the volume v of side ‘a’ mete of cube is v = x³.

So,  $d=\left(\frac{d}{dx}\right)\cdot \Delta x=3x^2\cdot \Delta x.$

Given that, increase in side = 1% of x.

$\Rightarrow \Delta x=\frac{x}{100}$

$\therefore dv=3x^2\left(\frac{x}{100}\right)=0.03x^{3}m{}^3.$

Given, y = f (x) = x³- 7x² + 15.

So,  $\frac{dy}{dx}=f^{\prime }(x)=3x^2-14x.$

$\Rightarrow$ dy = (3x²- 14x) dx.

$\Rightarrow$ Δy = (3x²- 14x) Δx.

Let, x = 5 and Δx = 0.001. Then,

Δy = f (x + Δx) f (x).

$\Rightarrow$ f (x + Δx) = f (x) + Δy = f (x) + (3x²- 4x) Δx.

$\Rightarrow$ f (5 + 0.001) = 5³- 7 (5)² + 15 + [3 (5)² - 14 (5)]. (0.001).

$\Rightarrow$ f (5.001) = 125 - 175 + 15 + (75 - 70) (0.001)

= -35 + 0.005 = - 34.995.

Yes, internship opportunities are available for BSc students. Around 50% of students reportedly secure internships at reputed institutions, including AIIMS Delhi and Pune, offering valuable hands-on experience in the field.

Given, y = f (x) = 4x² + 5x + 2.

So, f (x) = 8x + 5. $\frac{dy}{dx}$ = 8x + 5 dy = (8x + 5) dx.

Let x = 2 and Δx = 0.01.Then,

f (x + Δx) = f (2 + 0.01) = f (2.01).

Δy = f. (x + Δx) f (Δx).

f (x +Δx) = f (x) +Δy.

= f (x) + dy = f (x) + (8x + 5) dx.

= f (2.01) = f (2) + (8 x 2 + 5). Δx {∴dx = Δx}

= 4 (2)² + 5 (2) + 2 + 21 (0.01)

= 16 + 10 + 2 + 0.21 = 28.21.

MIT School of Vedic Sciences hasn't released official placement data recently. However, a student review on Shiksha suggests that approximately 80% of BSc (Hons) Psychology students are expected to be placed, with packages ranging from INR 4 LPA to INR 10 LPA.