(22²)⁰+ (2⁰). (2²)⁰= 2 O True O false

Q: 4. Sketch the graph of one function f(x) that has all of the following properties: a.) The domain of…

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Q: Q4) Find the maximum eigen value for the system 4 = x¹ (0) = (1 1) 3 12 54 with initial vector

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Q: Find the equation of a tangent line to the curve y= 2x3 - 3x² - 10x + 1 which is perpendicular to…

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Q: Determine the intervals on which the function is concave up or down and find the value at which the…

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Q: dx Q3/ Evaluate four of the following integral. c. S TI dx sec²x d. S- e. f(3x + 2)5 dx

A: Topic = Integration

Q: -1 1 3 Evaluate the following limits. Write dne if the limit does not exist. lim f(x) = x-1 lim f(x)…

A: We have to find the limits.

Q: 1. 2ydx + x (²+x²y) dy = 0

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Q: √₁² x (1 – x²) dx

A: Topic = Integration

Q: 7) Find the critical point (s) of f(x, y) = 2x³ + 3y² - 9x² - 30y + 12x-3. Then use the second…

A: solution is given below...

Q: 3 п 2 2 cos² 4x dx

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Q: Find the area of the region bounded by the curves below. Sketch its graph and shade the region. 1.…

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Q: Which of the following equations does not represent an ellipse? * x² + 2y² - 16 = 0 Option 1 x² +…

A: topic - equation of ellipse

Q: When an object is dropped, the distance it falls in t seconds, assuming that air resistance is…

A: Given

Q: X=2Seco y = 4 tano find cay dx² 1. when 0-1

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Q: In 2000, an investment was opened with an initial deposit of $1800. The investment had grown to…

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Q: ex V1-e2x 1. S dx

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Q: Find all critical points of f(x) = 3 + 12x - x² and use the First Derivative Test to determine…

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Q: The best method applicable to find the volume of the region bounded by .x = -y² and x=y-6 revolved…

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Q: Show that f Va²-t²dt = a² sin-¹(2) + x√a²-x².

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Q: Consider the differential equation 2xy" - 3y + 3y +³/4 = 0 (1) It turns out that y₁ = r is a…

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Q: Phil wants to design an open box with a square base with a surface area of 400 square inches. What…

A: We need to find dimensions of a box whose volume is maximum.  & volume = x^2 y

Q: 1. Describe the transformations of the graph of y=√x to obtain the graphs of the following…

A: see below the answer

Q: dy II. Use the Inverse Function Rule to find (show your complete solution) dx 1. x = y + y² + y³

A: Given

Q: The average rate of change of f(x) = cos(x) with respect to x as a changes from 0 to π is 2 OOO 2 -2…

A: We have to find the average rate of change.

Q: Əz Assuming that is a differentiable function of and y, use implicit differentiation to find from t…

A: Implicit differentiation

Q: 4. Use the Fundamental Theorem to evaluate (x³ - 6x)dx . (Your answer must include the…

A: Use the integral of polynomial.

Q: 3. The region bounded by the ellipse 16x² + 9y² = 144 is revolved about the x-axis. Find the volume…

A: We have to find the volume.

Q: E Eo A formula for calculating the magnitude of an earthquake is M = log that uses the common (base…

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Q: 10 Find an equation for the tangent line to the graph of y = (x³ - 25x) ¹0 at the point (-5,0). The…

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Q: 5. Solve the equation = 170. 6. Solve the following logarithmic equations. (a) log, (+5) = log, 3…

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Q: 5. Find the average value of f(x) = 1 X on [e4, e5].

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Q: 2x lim x-0 x²+5x

A: The given limit,      limx→02xx2+5x

Q: 2. Find the area between the functions: y = x³-12x + 10 and f(x) = -3x + 10 3. Find the area between…

A: We have to find the area.

Q: The length of a rectangle is given by 4t - 3 and its height is 2t, where t is time in seconds and…

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Q: Which of the following is equal to e² +c + c +c In(x) + c e dx? da

A: evaluate the following integral... ∫ex dx

Q: 2xydx +(1+x²) dy

A: 2xydx+x2+1dy=0

Q: cos²x sinx dy + (y cos³x − 2)dx = 0

A:

Q: Find the maximum and minimum limits of the function f(x) = - X-2 (x+2)²

A: Given ,f(x)=x-2(x+2)2We know that ,Suppose that x=c is a critical point of fx then, If f 'x<0 to…

Q: Find dy and simplify whenever possible. 1. y=(5-6x)¹2 4x-5 2. y=--- 2x + 1 3. y=(2x+5)(4x−1)

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Q: What are the applications of these derivatives?

A: First derivative tells the rate at which the original function changes.  Second derivative tells the…

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y) =…

A: The quadratic and cubic approximation at (0,0) formulas are:…

Q: For the function below, graph f and f'. Then estimate points at which the tangent line to f is…

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 5t3-712 +9. Find the…

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Q: Activity 1. Determine the antiderivatives of the following functions. 1. f(x) = (x + 1)100 2. f(x) =…

A: 1. fx=x+11002. fx=x2+x102x+13. gx=x31-x4 Note:    Multiple parts are given, we are answer only three…

Q: 2 4 cot 4 x dx

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Q: Which of the following polar equations is symmetric only with respect to the polar axis (x-axis)? r…

A: We need to find the polar equation which is symmetric only with respect to the polar axis (x-axis).

Q: given value of x. Show your complete solution.

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Q: Q4: A- Find the flux of the field F=- i+j+k √√x² + y² +2² bounded below by the plane 2-0 and bounded…

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Q: 1. Supposed that you will use a cuboid made of cardboard with a volume of 60cm³. Find the area of…

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Q: Determine the intervals on which the graph of y = f(x) is concave up or concave down, and find the…

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