" 7."2+(x-1)^(2/3)" in "(0,2)

Number of real roots of the equation 2^x=2^(x-1)+2^(x-2)=7^x+7^(x-1)+7^(x-2) is (A) 4 (B) 2 (C) 1 (D) 0

Number of real roots of the equation 2^x+2^(x-1)+2^(x-2)=7^x+7^(x-1)+7^(x-2) is (A) 4 (B) 2 (C) 1 (D) 0

f(x)=(2^x+2^(-x)(tanx)sqrt(tan^-1(2x^2-3x+1)))/(7x^2-3x-1)^3 , then find f'(0)

int (x^(2) +1)sqrt(x+1)dx is equal to a) ((x+1)^(7//2))/(7) - 2((x+1)^(5//2))/(5) + 2((x+1)^(3//2))/(3)+c b) 2[((x+1)^(7//2))/(7) - 2((x+1)^(5//2))/(5) + 2((x+1)^(3//2))/(3)]+c c) ((x+1)^(7//2))/(7) - 2((x+1)^(5//2))/(5) + c d) ((x+ 7)^(7//2))/(7) - 3((x+1)^(5//2))/(5) + 11(x+1)^(1//2)+c

The foci of the hyperbola 3(y-1)^2-4(x-2)^2=12 are (0,sqrt(7)) b. (-2,1-sqrt(7)) c. 2,1-sqrt(7) d. (0)-sqrt(7)

(7 ^ (2x + 3) + 7 ^ (2x + 1)) / (7 ^ (2x + 2) + 7 ^ (2x + 1))

The angle between the lines 2x^2-7x y+3y^2=0 is 1. 60^0 2. 45^0 3. tan^(-1)(7//6) 4. 30^0

The angle between the lines 2x^2-7x y+3y^2=0 is 1. 60^0 2. 45^0 3. tan^(-1)(7//6) 4. 30^0

If x^(2)+(1)/(x^(2))=7 and x!=0: find the value of 7x^(3)+8x-(7)/(x^(3))-(8)/(x)