Find the values of x for which  f(x) = g(x).  (Enter your answers as a comma-separated list.) f(x) =  √x − 7,    g(x) = 5 − x

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Q: State the domain, vertical asymptote, and end behavior of the function.…

A: Let's solve domain, vertical asymptote and end behaviour of given function.

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A: The objective of the question is checking the commutative fail in vector cross product.

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Q: 1 1 1 6⁹ 9' 5' 1 24 24⁹ 40 and 5 12

A: Given fractions:- 16, 19, 15, 124, 140, and 512

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Q: 10. What is the amplitude of the function f(x) a. 12 b. 5 c. 4√10 = 3(sinx) + (4cosx)? d. 3√10

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Q: (3) Evaluate the definite integral i r8 x+x² dx.

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A: We need to evaluate the following integral ∫04dx1x+7

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Q: 2 TL (21) 3.The vertex is at (4,-4) and the directrix is y + 5 = 0.

A: Topic = Parabola As per guidelines, At a time only one question can be answered.

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A: Topic =Differential Equations

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A: The sum of Infinite Geometric Progression of the form ∑n=0∞an where -1<a<1 is given by 11-a

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Q: If y = e Oe3 Oe 3x X² O 2e3 O 3e³ then dy dx at x = 1 is

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Q: What is the remainder when x² + 3x is divided by x? a) 4 b) -3 c) O d) you cannot divide by x

A: Option (c) is your correct answer  For detail...go through the solution

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Q: (A) Find plane equation through points (2,4,5),(1,5,7) and (-1,6,8) and then find the area of the…

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Q: Find the Taylor series centered at c = -1. 3x32 3x – 2 f(x) = Identify the correct expansion. 3 n=0…

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Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

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Q: If f(x,y)=x²y³+x4y, find f XX 2y³ + 12x²y 2xy³+4x³y □ 6x²y 6xy² + 4x ³

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Q: 1 z+1 if x − 1 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = lim…

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Q: Evaluate the integral 10 S₁ 15x-3 ldx

A: This question can be solved using the concept of modulus function. As per modulus function a=a if…