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Question Number 175995 Answers: 2 Comments: 0

lim_(x→0) ((e^(3x) −1)/x)=?

$l i \underset{x \to 0}{m} \frac{e^{3 x} - 1}{x} = ?$

Question Number 175994 Answers: 3 Comments: 0

lim_(x→∞) ((e^x −1)/x)=?

$l i \underset{x \to \infty}{m} \frac{e^{x} - 1}{x} = ?$

Question Number 175987 Answers: 4 Comments: 0

please calculate I=∫_0 ^(π/2) (dx/(1+(tanx)^(√2) )) J=∫_0 ^π (dx/(a^2 cos^2 x+sin^2 x)) K=∫_0 ^(π/2) (dx/(3tanx+2))

$p l e a s e c a l c u l a t e$ $I = \int_{0}^{\frac{π}{2}} \frac{d x}{1 + {(t a n x)}^{\sqrt{2}}}$ $J = \int_{0}^{π} \frac{d x}{a^{2} {c o s}^{2} x + {s i n}^{2} x}$ $K = \int_{0}^{\frac{π}{2}} \frac{d x}{3 t a n x + 2}$

Question Number 175986 Answers: 2 Comments: 0

Question Number 175976 Answers: 1 Comments: 1

Question Number 175972 Answers: 2 Comments: 0

((x^(11) +x)/(x^7 +x^5 )) = ((205)/(16)) solve for x (undecic equation )

$\frac{x^{11} + x}{x^{7} + x^{5}} = \frac{205}{16}$ $s o l v e f o r x (u n d e c i c e q u a t i o n)$

Question Number 175967 Answers: 0 Comments: 0

lim_(n→∞) [tan𝚿+(1/2)tan(𝚿/2)+(1/2^2 )tan(𝚿/2^2 )+...+(1/2^n )tan(𝚿/2^n )]

$\lim_{n \to \infty} [\tan Ψ + \frac{1}{2} \tan \frac{Ψ}{2} + \frac{1}{2^{2}} \tan \frac{Ψ}{2^{2}} + . . . + \frac{1}{2^{n}} \tan \frac{Ψ}{2^{n}}]$

Question Number 175961 Answers: 1 Comments: 0

Given that ((2tan15^0 )/(1+tan^2 15^0 ))=sin30^0 , find tan15^0 leaving the answer in surd form (radicals)

$Given that \frac{{2 \tan 15}^{0}}{1 + \tan^{2} 15^{0}} = {\sin 30}^{0}, find {\tan 15}^{0}$ $leaving the answer in surd form (radicals)$

Question Number 175959 Answers: 3 Comments: 2

f(x) = x^6 − 100x^5 + 100x^4 − 100x^3 + 100x^2 − 100x + 100 f(99) = ?

$f (x) = x^{6} - 100 x^{5} + 100 x^{4} - 100 x^{3} + 100 x^{2} - 100 x + 100$ $f (99) = ?$

Question Number 175956 Answers: 1 Comments: 1

Question Number 175954 Answers: 0 Comments: 0

Question Number 175953 Answers: 1 Comments: 0

Question Number 175952 Answers: 0 Comments: 0

If f(x)= csc (((πx)/3))+sec (((πx)/6)) and f ′(a)= −(π/9). Find the value of a.

$If f (x) = \csc (\frac{π x}{3}) + \sec (\frac{π x}{6})$ $and f^{'} (a) = - \frac{π}{9} . Find the value$ $of a .$

Question Number 175951 Answers: 0 Comments: 1

Given f(x)=ax^3 +bx^2 +cx+d a≠ 0 and ∣f ′(x)∣ ≤ 1 for 0≤x≤1 find max value of a.

$G i v e n f (x) = {a x}^{3} + {b x}^{2} + c x + d$ $a \neq 0 a n d ∣ f^{'} (x) ∣ ⩽ 1 f o r 0 ⩽ x ⩽ 1$ $f i n d m a x v a l u e o f a .$

Question Number 175949 Answers: 1 Comments: 1

Question Number 175943 Answers: 1 Comments: 0

(1) ∃x∈R, x^2 +x+a=0. find the range of a. (2) ∀x∈R, x^2 +x+a=0. find the range of a.

$(1) \exists x \in R, x^{2} + x + a = 0 . find the range of a .$ $(2) \forall x \in R, x^{2} + x + a = 0 . find the range of a .$

Question Number 175938 Answers: 2 Comments: 0

Question Number 175937 Answers: 1 Comments: 0

if y(x−y)^2 =x, then ∫(dx/(x−3y))=?

$i f y {(x - y)}^{2} = x, t h e n \int \frac{d x}{x - 3 y} = ?$

Question Number 175923 Answers: 1 Comments: 0

what are the differences among “ if ”, “ only if ” and “ if and only if ”?

$what are the differences among ‘ ‘ i f^{″}, ‘ ‘ o n l y i f^{″} and ‘ ‘ i f a n d o n l y i f^{″} ?$

Question Number 175925 Answers: 1 Comments: 1

1^x +6^x +8^x =9^x find x ? Mastermind

$1^{x} + 6^{x} + 8^{x} = 9^{x}$ $find x ?$ $Mastermind$

Question Number 175916 Answers: 1 Comments: 1

f(x)= 2^( (( sin(x) +(√3) cos(x)))^(1/3) ) − 2^( ((−sin(x) −(√3) cos(x)))^(1/3) ) R_( f) =?

$f (x) = 2^{\sqrt[3]{s i n (x) + \sqrt{3} c o s (x)}} - 2^{\sqrt[3]{- s i n (x) - \sqrt{3} c o s (x)}}$ $R_{f} = ?$

Question Number 175904 Answers: 2 Comments: 1

If 1 + sinx + sin^2 x + sin^3 x + ........ ∞ = 4 + 2(√3), x = ?

$If 1 + s i n x + {s i n}^{2} x + {s i n}^{3} x + . . . . . . . . \infty = 4 + 2 \sqrt{3},$ $x = ?$

Question Number 175901 Answers: 2 Comments: 1

Question Number 175894 Answers: 1 Comments: 0

Question Number 175888 Answers: 1 Comments: 0

Solve the differential equation (dy/dx)=((1+y^2 )/(y(1−x^2 )))

$Solve the differential equation$ $\frac{dy}{dx} = \frac{1 + y^{2}}{y (1 - x^{2})}$

Question Number 175893 Answers: 1 Comments: 3

If outer angle in n−polygone is 18° find n

$I f o u t e r a n g l e i n n - p o l y g o n e i s 18 °$ $f i n d n$

Pg 373 Pg 374 Pg 375 Pg 376 Pg 377 Pg 378 Pg 379 Pg 380 Pg 381 Pg 382

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