[CLO-3] The second derivative f"(x) of a function is given. Use this information and concave downward. f"(x)= x2(x-7)(x - 5)

Q: [CLO-3] The second derivative f"(x) of a function is given. Use this information to find all values…

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Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: Find the gradient of the function g(x,y) = xy² at the point (3, -1). Then sketch the gradient…

A: Given:        Function gx,y=xy2   The gradient of function                  ∇gx,y=gx,gy   Taking…

Q: etermine the derivative of f(x) = a. f'(x) = -x_ 7 cos x − tan² x− 1 (secx+7)² b. ƒ'(x) = − µ* _ 7…

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Q: Find Vf at the given point. f(x,y,z) = x² + y² − 4z² + z lnx, (1,1,3) Vf|(1,1,3) = i +(\)j + ()k…

A: Given the function,   fx,y,z=x2+y2-4z2+z lnx

Q: Find the largest triangle that can be inscribed in the ellipse (x2/a2)+(y2/b2)=1 (assume the…

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Q: dx 1. S √3x²–2x+1 2 2. √₁² √√x² - 4x + 8

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Q: 2 √₁² √√x² - 4x + 8

A: The solution is given in the next step.

Q: (-2, 39) -4 10 20 10 10 -20 89 -30 1 (14) (27) 23 Solve the following problems. A. Given the graph…

A: Given ,  Graph of function (4) We have to tell local minimum value

Q: Find the difference quotient x) = 2x² + 3x 2 - f(a+h)-f(a) h where h 0 of

A: Given query is to find the difference quotient.

Q: Evaluate (ƒ¯¹) '(2) for the function 3 2 f(x) = √√√x³ + x² + x + 1. Explain your reasoning and write…

A: The given function is  f(x)=x3+x2+x+1

Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (9y) at the points (0,0) and 0, ¹2…

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Q: Find x' for x(1) defined implicitly byx+x+1-9=0 and then evaluate x' at the point (-2,1). x-2.1)…

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Q: Question 11 (CLO-2) Evaluate lim f(x) where (3x-4 if x2 02 O does not exist O 10

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Q: * Use Cramer's rule to solve the equation X +y +z 2x -y 3x +2y -z ↑ Add file || || || 1 4 -3

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Q: write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Determine the limit of the sequence or state that the sequence diverges. an = 1 6 n² (Use symbolic…

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Q: dw ow For the functions w = xy + yz + xz, x= u + 3v, y = u- 3v, and z = uv, express and using the…

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Q: What is the average value of f(x) = O 0 0 au al 17/12 +² 36 over the interval [1, 6]?

A: Here we have to find the average value.

Q: 2. y = 1 (tanh~' 2x)3

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Q: 1. Graph the function below Using Calculus, find the intervals where the function increases and…

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: find the distance from the point P (2,1,1) to the lins x+1 y-1 Z-3 L: 6 -2 -3 = =

A: To find the distance from the point to the line.

Q: A force of F(x)=x²-cos(3x) +2, x is in meters, acts on an object. What is the work required to move…

A: Given force f(x)=x2-cos(3x)+2

Q: Find the extrema of each given function on a specified closed interval. 1.) g (x)= x³ - (3/2)x²,…

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Q: {CLO-3} The critical number(s), if any, of the function O -1. 12.2 01/14 2 O 0, 1, 2 O There is no…

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Q: Evaluate x³ dx (x4-5)4

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Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

Q: Given z x-y * Find Zyy xy.

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Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

A: The given problem is solved below in detail.

Q: valuate lim a. 12 b. C. d. +∞o t4-12 t-18 t3 0

A: The given problem is solved below in detail.

Q: Find the interval of convergence of the series xn Σ n8" n=1

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Q: lim x→0 tan2x-2sinx x3

A: A detailed solution is given below.

Q: 3. A particle moving along the x-axis has velocity function v(t) = t²e-t. How far does the particle…

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Q: Evaluate lim zo the limit sin 7x sin 2x

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Q: 17. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is. units. 04 02 O 2T O K|N…

A: For the equation  y=A sinBx+C+D   A-  Amplitude   B- Frequency   C- Horizontal shift   D-  Vertical…

Q: b) √ ²x³-x+4 dx x3 7T 4 (sin X

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Q: 4. According to the following table, what is the limit of this function as x approaches 0? X -.01…

A: From the table, it is clear that: limx→0-f(x)=2&limx→0+f(x)=2

Q: Find Vf at the given point. f(x,y,z) = x² + y² - 3z² + z lnx, (1,2,3) Vf|(1,2,3)+( = )j + (k…

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Q: 7. Find the limit as x approaches 0. F V I 2 2 O infinity O limit does not exist Oo .

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Q: Find the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y² - 4y +6 on the closed…

A: Given that a function f( x , y ) =2x2-4x+y2-4y+6  on the closed triangular plate bounded by the…

Q: 5x² Find all critical points of the function f(x) = 7x²–2x+6* (Use symbolic notation and fractions…

A: For critical points , f'(x) =0.

Q: The critical number(s), if any, of the function f(x) = (x²-3x+2) is (are):

A: critical points of fx=x2-3x+2-13

Q: There are five men and three women in a room. How many committees of 4 people can be chosen from the…

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Q: 4. Solve each for angles between 0° and 360°. (Round final a steps.) a) cos=-0.2186 b) 5-2 sin0 =…

A: The solution as follows :

Q: You made a mistake in the calculation. The final answer is 31,972.5. But thanks for the process.

A: Silly mistake in calculation, we provide correct calculations

Q: Let f be continuous on [a,b] and differentiable on (a,b). Prove that if f'(x)>0 for all x=(a,b) then…

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Q: 5.) Find fog and go f, and their domains. f(x)=√x - 4, g(x) = x²

A: Given :f(x)=x-4g(x)=x2

Q: 2. f(x) = x³ senx cos x

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Q: 3 (b) / 2³ x³ cos(x¹ + 2) dx

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