Condense the expression to a single logarithm using the properties of logarithms. log (x) - log (y) + 4log (z)

Q: √₁² x (1 – x²) dx

A: Topic = Integration

Q: Is the function given below continuous at x = 6? Why or why not? f(x) = 5x-6 Is f(x) = 5x - 6…

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Q: dx sinh3x tanh3x S

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Q: π 3π The region bounded by y = cos x - 1 and the x-axis in the interval is revolved about the line x…

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Q: Given the function y = 2x³ - 4x² + 5, find its derivative.

A: Topic = Derivative

Q: A function is given. f(t) = 5t²; t = 4, t = 4 + h (a) Determine the net change between the given…

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Q: -√12 √√3 √9 B. V3 10- 7- 12 A. 3 О А О в О с O D X ... С. 1 التركية D -1 الإنجليزية

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Q: C. Find y for the following: 1) y = x¹e³x tanx e4x 2) y = x³ cos2x 3) y = xx.sinx

A: Given: (1)  y = x4e3xtanx (2)  y = e4xx3cos2x (3)   y = xx· sinx

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A: Value of inclination is evaluated.

Q: S 0 Question 8 A lighthouse L is located on a small island 2 km from the nearest point A on a long…

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Q: 4 e) y = (2x + 5)

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Q: Example:- Solve the equation 1) (3y + e*)dx + (3x + cos(y))dy = 0 3) e* (ydx + dy) + e' (dx + xdy) =…

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Q: Perform BCD addition and verify using decimal integer (Base-10) addition: a) 1001 0100 + 0110 0111…

A: BCD addition

Q: Draw a graph to match the description given. G(x) is decreasing over (-∞0,0) and (8,00) and…

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Q: D Question 2 An aircraft is flying horizontally at a speed of 600 km/h. How fast is the distance…

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Q: a) Find the simplified form of the difference quotient for the function f(x)=x²- 5x+2. b) Complete…

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Q: 1- Differentiate. a- Y= 2 ex¹2-1 b- Y= -2 sin³x c- Y= 3sin2x - cos 4x d- tan√(1-x)

A: solution:-(a)  y=2ex2+1dydx=ddx2ex2+1       =2ex2+1ddxx2+1,    chain rule      =2ex2+12x…

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

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Q: For what values of x does the series below converge? What is its sum? What series do you get if you…

A: We have to find the sum and derivative of the series.

Q: Find the average value of the function f(x)=x²-9 on [0,9]. The average value of the function…

A: Use the average value formula for finding the value

Q: 1 If A 1 2 32 O True O false is a matrix then A¹ = [1 3].

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Q: Which of the following statements is/are ALWAYS true for a function f and a real number c? A: If lim…

A: We can answer the question as below.

Q: Show that the equation is homogeneous and find its solution. dy/dx = x+3y/x-y

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Q: Please kindly show all working. Thnx. 1) Let f(x)=x3−3x2−9x+25. Use the derivative…

A: Given function,f(x)=x3−3x2−9x+25.We know that.Suppose that x=c is a critical point of fx then, If f…

Q: 1. 2ydx + x (²+x²y) dy = 0

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Q: If g(x) = (ax² + x) (ax - 1) for some real number a, find lim g(x). x→1 00 O (x²+x)(x - 1) The limit…

A: Find the limit

Q: 3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: S -1 etan 1+4t² 2t - dt

A: Let u=tan-1(2t)⇒dudt=21+(2t)2=21+4t2⇒du2=dt1+4t2 ∫etan-12t1+4t2dt=∫eudu2…

Q: 3. y² = -x, x² + 3y + 4x+6=0

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Q: S 10dz 4z³-4z² + 5z

A: We have to find value of given Integral using partial fraction.

Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: In2 fin² coshx dx

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Q: In 2012, 34.1% of all glass containers were recycled. A beverage company used 350,000 lb of glass…

A: We need to fill in correct answer.

Q: in a graph What is the cartesian product? And give an examples

A: Cartesian product is also called box product of graphs. The Cartesian product of 2 graphs, G and H,…

Q: IF Y = u²-1 u²+1 Find dy np

A: Given,  y=u2-1u2+1

Q: Approximate the value of In (1000!)

A: Here we have given ln1000!. Now finding it's value we get : As we know that expansion of lnx is…

Q: lim 2 x²-9 2 x² - 4x +3 where c = 0 and 1

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Q: 4 2 dx 5₂ is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x√√x²-4 c→ 2+ Add…

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Q: 1) 3) (x-3)² (v-4)² + 16 196 (x + 1)² (y-8)² + 9 81 = 1 = 1

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Q: Given the graph of the function y = f(x) below, identify which of the following statement is/are…

A: The limit definition of derivative of a function at x=a is given by  f'(a)=limx→af(x)-f(a)x-a. For a…

Q: All continuous functions have antiderivatives. (A) True B) False

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Q: Find the area of the shaded region. 4 f(x)=x²-8x³+21x², - 8x³ +21x², g(x) = 6x + 36 The area is.…

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

A: Given problem:- f(x) = (x-2)/(x+2)2 Find the maximum and minimum limits of the function

Q: 4- Find the question of the that is tangent to the curve y=-3 cos2x at x= π/6. Express with exact…

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Q: MY NOTES ASK YOUR TEACHER At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h.…

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Q: x + y + z = 1 2 + 2 + 2 = 2 3 + 13 + 23 = 3 = 7 5 + + 5 + 2 9 = ? =

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Q: NÁW [1 2 Find A¹ of The Matrix A= 3 2 -1 [3 1

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Q: 1-x x² +1 If f is differentiable function with deriviative f'(x) = - then on which of the following…

A: f is concave up if f''(x) >0 .

Q: Suppose that f(x) = 5x6 - 7x5. (A) Find all critical numbers of f. If there are no critical numbers,…

A: We have to solve given Questions.

Q: graph of the equation x2/3+2/3-82/3 is one of a family of curves called astroids because of their…

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