Choose the gradient of the function \(f\) defined by f(x y) √1 (4x 5y)². O None of the others 4x+5y 10/ 4x+5y √1+(4x+5y)² √√1+(4x+5y)² 100%. 1(1)(= 10/25 4 5 √1+(4x+5y)²¹ √√1+(4x+5y)² 4(4x+5y) 5(4x+5y) √1+(4x+5y)² √√1+(4x+5y)² 4 5 2√1+(4x+5y)2 2√1+(4x+5y)² ²

Q: Determine the x-intercepts of the function g(x) = 2cos(2x) - 1 on the interval [0, 2]. 01 я 5л 6'6 л…

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Q: D. Differentiate the following. a. f(x) = 4x³ – 5x² + x + 8 b. g(x) = x" -* -*+* + vZ c. h(x) = v9x°…

A: (a) To find: The derivative of fx=4x5-5x3+x+8. Formula used: Power rule of derivative: xn'=n·xn-1…

Q: Evaluate W(3,-1) for the function W(x,y) = 4x^2 + y^2

A: W(x,y) = 4x2 + y2Find W(3,-1)

Q: Calculate fx (1, 3) and fy (1, 3) for f (x, y) = √(7x + y^2).

A: For a function of two variables, partial derivative with respect to one variable is calculated by…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: Choose all functions that are members of the same family. Oy=-x(x − 3)(x + 5) Oy=x³ + 2x² - 15x…

A: By simplifying each function, we can identify the members of same family.

Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: Find the derivative. fx) = (4x - 4) + 20x - 20 O Pid - 6x1/2. 4x 1/2, 20 O fid - áx1/2. 2x 1/2, 20 O…

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Q: Let f(x) = f(-1) = = f(-5) = f(-6) = 8x - 2, -x², X ≤ -5 X > -5' Find f(-1), f(-5), and f(-6).

A: Solve the given function

Q: Draw y² = f(x) 1+ (1,-1) 2 (2.5,1)

A: We have draw the graph of y2=f(x)The procedure is given below

Q: The point Q (-4,7) lies on the function f(x). Suppose f(x) is transformed according to: y=-3 f…

A: The transformed function is given as , y=-3f0.5x+3+5 Determine the x-coordinate of the transformed…

Q: Compute f 2x-1 (x-5) (3x+1)(4x-7) -dx.

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