Find the largest value of that satisfies: log, (x²) - log(x + 1) = 9 x

Q: Suppose that f(x, y) = 2x + 2y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. Then the double…

A: Suppose that fx, y=2x+2y on the domain D=x, y 1≤x≤2, x2≤y≤4 Then to evaluate the double integral…

Q: Find the linear function with the following properties. Answer f(x) = f(0) = -6 Slope off = -4…

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Q: Use the graph of f to estimate the values of c that satisfy the conclusion of the Mean Value Theorem…

A: The given problem is solved below in detail.

Q: 21. A plane contains the points P₁ (1, 2, 3), P₂ (4, 2, 9) and P3 (4, 4, 5). Give the explicit…

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Q: verify that the mean value theorem can be applied to the function f(x)=x2/3 on the interval [0,1].…

A: we will find the required.

Q: 27. y=-x² + 7x - 17

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and…

A: The given lines are: y=xy=2-x  The density function is δ=14x+9y+7  To find the center of mass of a…

Q: Sta tan³ xsec³ x dx

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Q: This problem illustrates a typical approach for creating a model. Use lower case letters. We want to…

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Q: Find the limit by evaluating the derivative of a suitable function at an appropriate point. Hint:…

A: According to question,Given Limit,limh→048+h2-8+h-248h

Q: For the following geometric series 2 2 2 + 3 9 27 please find the first term "a" and the common…

A: given 2+23+29+227+.........

Q: Find an equation of the plane through (7, 0, -6) that is perpendicular to the line x − 2 = t, y+3 =…

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Q: Express the diagonal of a rectangle, d, in terms of its width, w, if the area of the rectangle is 7…

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Q: Hey I cant read what you sent can you please type the answer or write it better

A: We have to find the derivative of v.

Q: 3. Find two power series solutions of the differential equation (x² + 1) y" — 6y = 0 about the…

A: The given differential equation is:x2+1y''-6y=0

Q: What is the smallest counting number that has factors of 2,3,4,10,12, and 18 ? Explain/show how you…

A: Given Factors  2,3,4,10,12, and 18      L.C.M of these numbers gives the required number

Q: n=1 4n² + n-3 12n6 - n³ +8n 3

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Q: Evaluate the limit lim t-0 os(t) i + 1 - cos(t) t 3 12² ³ 5 ³ + e³¹²7) -

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Q: Worldwide annual sales of a product in 2013–2017 were projected to be approximately q = −10p + 4,480…

A: We have to find the maximum revenue and the price.

Q: c2 sősºv 2 2 2 x√ x² + y² dydx x√x 4-x

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Q: 39. y = x² +1 x - 4 [5,6]

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Q: The position s of a point (in feet) is given as a function of time t (in seconds). s = −16 + t −…

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Q: Find the price that will maximize profit for the demand and cost functions, where p is the price, x…

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Q: SSYDA Dis bounded by y = x-12 2 x = y ²

A: Given that:- D is the region bounded by y=x-12 and x=y2

Q: Given f(x, y) = sin(x + y) where z = s³t³, y = 3s-5t. Find f.(z(s, t), y(s, t)) = fiz(s, t), y(s,…

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Q: Find A A = OA. A Select the correct choice below and, if necessary, fill in the answer boxes to…

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Q: 8 2 SO SATY 4 Te dxd

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4x³ - 6x² -…

A: Given that  f(x) = 4x3 -6x2 -144x +3. ; [-4,5]  We find absolute minimum and maximum value.…

Q: Given x + y + z = 2 and Po(0,0,2), find the following. (a) Find the equation for the tangent plane…

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Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A: we need to express the given parametric equations using bracket notation and also i,j and k…

Q: Using the method of undermined coefficient, find the yc and yp of the following DE y" - 3y + 2y =…

A: Given :

Q: 1) Verify that the function z = ln(e + e") is a solution of the partial differential quation 8²z8z…

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Q: Evaluate the following indefinite integrals. cos(tan-¹) 1+x² (a) [ (b) / tan³ z dr. dx.

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Q: 1. Use Implicit Differentiation to find y=da (1 - 4x²) tan(-3x - y) = y³

A: Given  ( 1 - 4x2 )tan( -3x - y ) = y5

Q: Evaluate the integral directly by integration with respect to x and y 2 x=(y/3) + 1 3x-y S S ³x5%…

A: To evaluate the following integral.  ∫02∫x=y3x=y3+1 3x-y3 dx dy

Q: 5. Suppose that y(t) = (cost, sin t) for tER. Show that y(t) and (t) are parallel for all t € R.

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Q: Write the equation of the tangent line to f(x) at point (2,8). B. Write an expression for f(x) in…

A: According to bartleby guidelines we supposed to do the first three subparts of multiple subparts…

Q: Suppose that the cost function for a product is given by C(x)=0.002x³ +9x +7,443. Find the…

A: Given, C(x)=0.002x3+9x+7443

Q: 2t (4te²t cos(t) + te-2t)

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Q: Use differentials to estimate the value of 1.5. Compare the answer to the exact value of $1.5. Round…

A: By using differential to estimate the value of 1.54.  To compare the answer to exact value of 1.54.…

Q: integral. Sketch the solid whose volume is given by the integral below, and evaluate the TL "4 2π…

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Q: Find y' and y". y = (²+ √x)³ 3

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Q: 2. Rewrite the integral f(x, y, z)dzdxdy using the order dxdydz.

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Q: Suppose an oil spill covers a circular region. The radius in feet, r, increases according to the…

A: Solution: . as we can see from the graph, point (30,20) is on the graph  which means after 30…

Q: (Q2.) Solve the following. 1. Verify that y = e2 is a solutions of the following differential…

A: Please see the below picture for detailed solution.

Q: Solve for x: 103-6-32x-2 X

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Q: 7√x +7 .... 75√ √x (Simplify your answer. Use integers or fractions for any numbers in the…

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Q: Find the directional derivative of f(x, y) = x²y³ in the direction of the vector u = (3/5,4/5) at…

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Q: The table below shows the six basic solutions to the following e-system. = 36 +5₂ = 48 2x + 3x₂ +5₁…

A: Given that , 2x1+3x2+s1       =364x1+3x3       +s2=48 and the basic solutions are   x1 x2 s1 s2…

Q: 4. Let R be the region enclosed by the curves y = ln x and y=x-2. a) Find the area of R.

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…