What is the value of x if log, √x-1=2? O 82 65 O 19 0-8

Q: Consider the function f(x) below. Over what open interval(s) is the function decreasing and concave…

A: We need to find out the intervals on which the function is decreasing and also concave up.

Q: H.W: Evaluate the integral 30 J S (x²y- 0-2 1. (x²y - 2xy)dydx

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Q: 14. Given the function f(x) = 3x³ – 48x find the following: (Round to 1 decimal place) a) The x and…

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Q: Find a differential operator that annihilates the given function. -2x+3x³+x²e5x

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Q: If F(x) = 3x4 is an antiderivative of f(x), find Provide your answer below: [(-5f(x) – 5x³) dx.

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Q: Step 5 Let x = sin(0). Differentiate with respect to x on both sides. dx = Rewrite the integral by…

A: We need to fill in the blank.

Q: Let r(t) = (et, t2 + 1, h(t)). If |r' (0)| = √2, which of the following is a possible h(t)? O sin(t)…

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Q: How much must be deposited today into the following account in order to have $65,000 in 5 years for…

A: Given :Future value =F=$65000Present value =P=?Rate = r=6%=0.06Time=t=5 years

Q: 리 The amount of time in seconds, f, it takes for a bungee jumper to free fall is given by the…

A: The amount of time in seconds, t, it takes for a bungee jumper to freefall is given by the function…

Q: Find the partial fraction expansion of the rational expression 2x³ + 3x²2 - 22x - 60 x² x - 12 -

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Q: 15. Show that the equation, ³ + e* = 0 has exactly one real root.

A: we have x3+ex =0to check number of roots we can draw graph of both and check number of intersection

Q: 3. The radius of a sphere ball is measured at r= 25 cm. Estimate error in the volume and surface…

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Q: A department of roads and highways is doing a drive, a driver's rest area on the side of a highway.…

A: Ans=200 m  For detail...go through the solution...I have done solution in detail

Q: S₂ (1-t) ² dt 2

A: Solution

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. Select the…

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Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

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Q: Sketch a graph of the function f that is continuous on (-∞,00) and has the following properties.…

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Q: In(t)dt

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Q: 16. Find the quadratic function such that f(4) = - 26, f‘(4) = -19 and f“(4) = -6.

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² -…

A: In this question we have to find the absolute maximum and absolute minimum.

Q: 5. What is the equation of the asymptotes of the hyperbola defined by x²-4y² + 4x + 40y - 92 = 0

A: Standard form of equation of hyperbola is y-k2b2-x-h2a2=1 Perform operations to get this form…

Q: Write the first five terms of the sequence: {√n² + 4n - n } n =1 + Determine whether the sequence…

A: Find out the first five terms of the sequence and also if it converges then find its limit.

Q: (a)i Find a vector equation and parametric equations for the line that passes through the point A(5,…

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Q: Evaluate the definite integral. [*sin5(x) dx Step 1 To solve the integral 6( sin(x) sin³(x) dx,…

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Q: Use the cross product to find the area of the parallelogram whose vertices are (0,0,0) , (0,2,1),…

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Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

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Q: 13. Consider the functions f(x) and g(x) in the tables below. 5 6 7 8 f(x) 1 4 2 3 (A) g(x)= -f(x)+3…

A: topic- functions

Q: Find all critical points of the function g (0) = sin² (120). Express your answer in terms of . (Use…

A: This question is based on general solution of Sine function.

Q: Evaluate the integral. Select the correct answer. 1 15 cos ²6 x - = cos 6x + C cos³6 6x- 18 O…

A: Given :∫sin36xdx

Q: Use Theorem on the derivative of the inverse function to find g'(a), where g= f-1. Calculate g(x)…

A: Here we have to find the inverse function and then its domain and range.

Q: Write a recursive formula for the arithmetic sequence an given below. an= and a1= 10,19,28,37,46,…

A: To write a recursive formula for the arithmetic sequence given below.an=? and a1=?10, 19, 28, 37,…

Q: Say a candidate is running for mayor of a city. During the incumbent mayor's first year in office,…

A: Given that Say a candidate is running for mayor of a city. During the incumbent mayor's first year…

Q: Problem 3. The rate of consumption of hamburgers in Wyoming (in millions of hamburgers per year)…

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Q: Find a result by using exact for (sinxcosy)dx = -(cosxsiny)dy = 0 b. (x-6xy + y² + 10)dy = -(x² -…

A: I am attaching image so that you understand each and every step.

Q: A box with a square lid uses a material for the lid and bottom that costs $ 4.00 per square meter,…

A: We can solve the given problem by using the second derivative test.

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z)…

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Q: Consider the following information fz(x, y) = 2xy - 2r³ and f₁(x, y) = x² + y² – 6. Use the Second…

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Q: Use Green's Theorem to evaluate the line integral of F= over C which is the boundary of the…

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Q: QUESTION 2 The equation ut = 2uxx is O a partial differential equation in one variable O an ordinary…

A: Given: ut=2uxx

Q: 2. 01 S -1-1 (x+y+1)dxdy

A: The Solution is given below

Q: lf f(x) = -[-² 0 u²-6u +5du, then what is the y-coordinate of its inflection point? Selected Answer:…

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Q: Find the solution of the equation correct to four decimal places. In (ex-3) = 6 Select the correct…

A: Given that     ln(ex - 3) = 6

Q: S dx x² √√9-x² 2

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Q: Find the indefinite integral. (Use c for the constant of integration.) [(4t³i (4t³i+ 14tj -7√tk) dt

A: The given integral is;  (4t3i +14tj -7(sqrt(t))k).

Q: At what value of x does the local max of f(x) occur? X = ƒ(x) = √² 1²-2 - 25 1 + cos² (t) dt

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Q: k [[ x=0&y=0 x cos(xy) dydx =

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Q: 9. Determine if the Mean Value Theorem for Integrals applies to the function f(x)=√x on the interval…

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Q: No calculators. Find the exact length of the curve. 0≤x≤l y=2+2x³/2,

A: Length of the curve  =∫ab 1+f'(x)2 dx .

Q: QUESTION 6 Which of the following functions are separable? Of(x,y)=In(xy) f(x, y) = x² + y f(x, y) =…

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