31- (xとayょで) 3/2 "ツ. yy ん My= - そ 不ing

Q: The base x of the right triangle in the figure increases at a rate of 3 cm/s, while the height…

A:

Q: 2. determine ∫12/5-2x dx by using substitution technique.

A: ∫125-2xdx  This is the integral given to us.we need to perform valid substitutions to evaluate the…

Q: Evaluate cosh #j in 3 decimal places.

A:

Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

A:

Q: Use differentials to approximate the value of √81.1 .

A: Use differentials to approximate the value of √81.1 .

Q: (answer three only) In(x² +x)-tnx-enx 3-5- In(e1) dx

A: 3. We need to solve, ∫lnx2+x-lnx-elnxlnex+1

Q: Evaluate. (Be sure to check by differentiating!) 6 7 STOCK *XX=-=-= dx, x# 7 + 6x 6 6

A:

Q: Σ(²√5 - 1)" I=V 8 Do 1 n²-Ln Σ (Lan Ja (kan) n=2

A:

Q: 17 0 in QII 32. sec0= - mot 15

A: Given:secθ=-1715,  θ in quadrant 2

Q: 57. Use FTC I to show that x" dx = 0 if n is an odd whole number. Explain graphically.

A:

Q: Find integral fraction (numerator) y dy / (denominator) square root of (y+2) using the substitution…

A: Let's find given integration by using given substitution.

Q: Approximate using differential √627( answer in fractional form)

A: Let y=f(x)=x4where x=625 & ∆x=2

Q: Two cars are moving towards an in towards the intersection at 14 m away from the intersection at 11…

A:

Q: కషిద్టి చవీ / tangent s lope rosin (20) when Jot 5 2) 653 3. not of the above

A:

Q: The volume of a spherical balloon is increasing at a rate of 11a cm3/sec. When the radius is 6 cm,…

A:

Q: s there will be At) bacteria present in a certa tant. If 60 000 bacteria are present initially,

A:

Q: dz IV100-49(In z)?

A:

Q: S duing likcr diferential equating dX 24

A:

Q: se Newton's Method to approximate 76 correct to six decimal places.

A: Given: 764 Formula used: xn+1=xn-fxnf'xn

Q: 2. A donkey is tethered to a corner of a field which is fenced in two directions. The rope is 10 m…

A:

Q: tan' rdr

A:

Q: The base x of the right triangle in the figure increases at a rate of 4 cm/s, while the height…

A: Given, h=16 cm & x increasing at a rate of 4cm/sto find angle θ changing when…

Q: 8. eeer +eyty dy

A:

Q: 2. Sin odo Fla

A:

Q: 4. ) cosh z1 5.) csch z2 6. ) tanh z3

A: Given:          z1=2+4iz2=5e2iz3=4cis 40° 4)  coshz1=cosh(2+4i)…

Q: How do you approximate 1/4.998 using differentials? P

A: Linear approximation at a point :Let a function f(x) is differentiable at a point x=a , then the…

Q: The base x of the right triangle in the figure increases at a rate of 5 cm/s, while the height…

A: Consider the given graph  Given dxdt=5cms ,h=17cm

Q: 15 Lo - - dx 15 X (x + 1) ²/ O 0 O or| 800 88 O 1 O 176 5

A: The answer is 0.

Q: 17.) How large should n be in order for the error in approximating , to be less than 0.0001 /2 x…

A:

Q: er expressed in fractional for

A: Here we have to find the approximate value of 3463 using differential .  Let f(x)=x13…

Q: 6. dyda ydyda 2R Sys of 37 15D to

A: Formula Used:-(1) ∫a2-x2=xa2-x22+a22sin-1(xa)+c(2) ∫xa2-x2 dx=-(a2-x2) 323Consider,A=∫02R∫0R2-(x-R)2…

Q: 1 + cosh 2x 9. cosh? x 2

A:

Q: Express ∫ sin x2 dx as a power series.

A: The given integral is ∫sinx2dx

Q: 2 Find the cube root of 48 by Newton-Raphson method correct up to 4-decimal places.

A:

Q: 1 y = -e*(dsin²3x-tanx ³) y'=? 10 (fx +1)

A:

Q: Simplify (-mvs)^-(mas) to ¬m 1. Select a law from the right to apply (-mvs)^-(mas)

A: We have ¬m∨s∧¬m∧s                       (1) By De Morgan's law ¬(a∧b)=(¬a∨¬b), we can write…

Q: State the null and alternative hypothesis. In the maputi cotton factory, the employees want to…

A: Null hypothesis is the statement about the population parameter, such a hypothesis is usually of no…

Q: 10. S sinh rai tanhxainhr-tenha -dx

A:

Q: he executives are interested le of 500 customers yielded nore than 5% of its current tuation.

A: Given data number of success , x= 40 sample size, n = 500 population proportion,p=…

Q: The base x of the right triangle in the figure increases at a rate of 7 cm/s, while the height…

A:

Q: 210° 180° acute obtuse reflex O right

A: use the definition of angle .to classify the angle.

Q: Given: y = cosh cosh (ex²)

A: Formulas:ddx cos hx =sin hxddx ex =exddx xn = n xn-1

Q: ntegral. dx 22 O 11

A: Topic:- integration

Q: #9. In exact form

A:

Q: 1. cosh (j) 2. tanh 3. 3. In(2 + j3)

A:

Q: en by

A:

Q: Find an approximetion to VI5 Correct to three Decimal places?

A: The given expression is 253. Let y=x13, where x=27,∆x=-2 as 25=27-2. That is, y=2713=3 Obtain ∆y:…

Q: The base x of the right triangle in the figure increases at a rate of 3 cm/s, while the height…

A: