When the expression - log, (5) - log, (4) + log, (7), b > 1, is written in the form log, a, the value of a, to the nearest hundredth, is

Q: Find the area between the curve f(x) = x³ - 130 and the x-axis from x = 1 to x = 4. …….. The area is…

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Q: Find the area between f(x) = x2 - 7 and the x-axis from x = 0 and x = 6. The area is square units.…

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Q: The domain of the logarithmic function y = log4 (x + 3) is Ox>0, XER Ox-3, x=R Oxz-3,TER OX>0, XER

A: Let's find domain of given logarithmic function.

Q: A certain radioactive substance is decaying so that at time t, measured in years, the amount of the…

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Q: Question 17 D, (cos(sin x)) = O-sin(cos z) - sin + cos z COS I - sin(sin z) O sin(sin x)

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Q: For numbers 14-16: Given: f(x) = |x-5| |x-5|dx 14. Find A. 3 B. 4 C.9/2 15. Find ₁ |x-5|dx A.15/4…

A: Above question is solved.

Q: For the function f(x) = 3x − 5 ln x determine a) Domain of f, b) Critical points of f, c) Intervals…

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Q: = 4 ln(x¹ - y) at the point (3,80,0), and use it to Find the linear approximation to the equation…

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Q: Obtain the differential equation of the family of circles of fixed radius r with center on the…

A: We have to obtain the differential equation of the family of circles of fixed radius r with center…

Q: Refer to the graph of y = f(x) = x² + x shown. a) Find the slope of the secant line joining (-4,…

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Q: y = x³ + 1 (x (x² 2 3 x + 3 -1 - 2x + 1)

A: The given function,      y=x3+1x3+3x2-2x-1+1

Q: Evaluate the integral. [ f(x) dx where f(x) = 4 2 5-x² if -4 ≤ x ≤ 0 if 0 < x≤ 2

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Q: Find the area of the region enclosed by the following functions. a) x=y²-3 and x=y+1. (-1,-2) 1…

A: Consider

Q: a f(x) = x² sec (ax)

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Q: Solve for y at x=2: (4x^3 - 6yx^2 + 2xy^2)dx + (2yx^2 - 2x^3)dy = 0; y(1)=4

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  5. y = c1 cos2x + c2sin…

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Q: An open box of maximum volume is made from a square piece of material 24 centimeters on a side by…

A: The volume of a cuboid=length×width×height

Q: Which of the following is a relative maximum of f? 1/5 5/6 A. (²2) ¹ c. - (²²) ³ √3 B. 0 D. 2 Which…

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Q: √ √3x + 4 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Set up the triple integral of an arbitrary continuous function f(x, y, z) in cylindrical or…

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Q: A vector with magnitude 7 points in a direction 295 degrees counterclockwise from the positive x…

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Q: O do 5 sin cos de Sin ³0 + 3sing-4

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Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 2 sin²(t)) π at t =…

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Q: D Question 5 If y = 7³/2, then True False dy = ¹/2

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Q: Determine where the function f(x) is continuous. f(x)=√x² - 25 The function is continuous on the…

A: We always check continuity of function in its domain . Hence the given function is continuous on its…

Q: Find AB using the following matrices: 7 8 1 2 3 A= B= 9 10 4 5 6 11 12

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Q: y"+4y=sin 2x, where y(0)=3 and y'(0)=¾

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: We need to find convergence of series.

Q: The equation (x-y)dx + ydy = 0 is homogeneous

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Q: Evaluate toivancos You G₁ (nty) dv kab

A: To evaluate:  ∫∫∫Gx2+ydvWhere G is the solid bounded by z=y2 and in xy plane x=0 to x=4 and y=-3 to…

Q: 3 2 Find the area bounded by the two curves y = x³-6x²+ 8x and y = x² - 4x

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Q: Use the ratio test to determine whether the series converges or diverges. If the test is…

A: Given :∑k=1∞5kk!

Q: Pre-Calculus  :  if x=2x=2 is a solution to the equation x^3-4x^2-31x+70 = 0x3−4x2−31x+70=0, find…

A: We have to find out solutions

Q: Question 12 If A is the area of a variable square with side s, what is the rate of change of A with…

A: Solution ) area of variable square A = s2  Differentiate with respect to s  dA/ds = 2s [ formula…

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

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Q: @ evaluate the definite integral S² (9x² - 10x + 6) dx 3

A: Solve the integration

Q: The curvature x(s) of C is defined as the magnitude of the rate of change of the unit tangent with…

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Q: Find the indicated derivative. f'(-5) = If f(x) = x², find f'(-5). X

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Q: Find the limit: lim (z,y) → (3,3) 4x4 - 4y¹ x² - y²

A: The given limit is: limx,y→3,34x4-4y4x2-y2  To find the value of the limit.

Q: fidencos 3 Evaluate If (n²7y) dv kabrood if G. As the solid bounded by is the parabolic cylinder…

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Q: 5.) Using the tables, evaluate h'(2) for h(x) = - A.) 33√2 C) 33√2 33√2 512 8 33√2 D.) 3√2 f(x) g(x)

A: Given h(x)=f(x)g(x)

Q: defined on the interval [-9.4247778, 1.45619445]. Enter points, such as inflection points in…

A: Solution: Given f(x) = sin2(x/3)       interval [-9.4247778 , 1.45619445]

Q: 6) Find The derivative of yo

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Q: 1.6 × 10-19 × 1.24 × 104 6.63 × 10-34

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Q: The following statements are true EXCEPT A. Sa f(x) = 0 B. fk f(x) dx = k f f(x) dx for any real…

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Q: Find the area between the curve f(x) = x² +12 and the x-axis from x = 3 to x = 6. ...

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Q: 8 8 Suppose ff(x) dx = • ƒ ƒ(a) dz − −1 and 19 (2) da − −4 -1 g dx = -4. 5 5 8 Evaluate f(-2 f(x) +…

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Q: A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting a…

A: 1) Given:

Q: Find the equation of the line that satisfies the given conditions. (a) Write the equation in…

A: Here, given that x-intercept is (1,0) and slope is 3.

Q: For the regions A and B shown in the graph: Part A: Discuss the limits of integration. Part B: Set…

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