I- Complete the following table: Log Form log(12x + 7) = 3 II- Solve the following equations: a) log, 5² = log4 (t²- 3t) b) log, (2m + 16) - log, 2 = log, (2) c) 100x² - 107x-3 = 0 Exponents Form 64" = 5 + u

Q: b. Given the vectors a=2i-j+2 k, b=3 i + 2 j -k, c =i+2 k i. Calculate: 2a-(b-3c) ii. Determine the…

A: "According to the guidelines issued by the company We are supposed to answer only first three…

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A: The given function fx, y, z=4x+6y+3z. We have to find the values of fxx, y, z, fyx, y, z, fzx, y, z.

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A: The given shaded region is of type II If we will find the area of the shaded region then firstly we…

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Q: Find the c value that satisfies the Mean Value Theorem. f(x) = 3 + √√x on the interval [0,4]

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Q: Find the length of the curve (t) = (4 cos(5t), 4 sin(5t), 5t) for -3 ≤ t ≤9 Give your answer to two…

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Q: + 3 2 1 1 -1 -2 -3 2 3 4 5 6 7 V = = 00 S The graph above shows the base of an object. Compute the…

A: Given that a graph and we find volume of this object. We know that area of a triangle is given as -…

Q: A car dealership has 6 red, 11 silver, and 5 black cars on the lot. Ten cars are randomly chosen to…

A: Given red cars - 6 silver cars - 11 black cars - 5 total cars - 22

Q: The first 4 terms of the Maclaurin series for e -2x O a) 1 - 2x + x² - 4x³ Ob) 1 - 2x + 2x² – x³ -…

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Q: At what interval is y=3x5 – 5x³ decreasing? C O −11

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Q: Use a power series to represent the function f(x) Provide your answer below: M8 n = 0 6x + 4…

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Q: Given vectors u = −33i + 6j and v = −19i + 5j, find vector u — v. -

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Q: a ladder 12.0 ft long rests against a wall. if the bottom of the ladder slides away from the wall at…

A: let wall length is  x ftlet bottom length is y ft by using paythogoras theoram  x2+y2=(12)2…

Q: 9. Passes through P = (0, 1, 2) and orthogonal to both d₁ = (2,-1,7) and d₂ (7,1,3).

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Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. y -4 A Find the…

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Q: Given vectors u = (-33, 6) and v = (-19,5), find vector u — v.

A: To find the vector difference

Q: 9. 7(t)= (cost, sin t)

A: #Question 9 Given, r→t=cos t, sin t

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Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A: Given y varies inversly as the cube root of x when x = 64 , y = 4

Q: 2000 388.44 a)Stonne (Round to two decimal places as needed.) 2001 615.79 2002 565.33 The price of…

A:

Q: You are designing a 1152 cm³ right circular cylindrical can whose manufacture will take waste into…

A: Given that volume of teh right circular cylinder is 1152cm3.And the total alumonium used up by the…

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Q: Determine which of the following is the particular solution for the differential equation (D²- 2D+4)…

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Q: Compute (a) ₁ and (b) ₂ for the iterative process defined by n+1 = 2xn (4 — xn) with xo (a) x₁ = -…

A: Given query is to find x1 and x2 .

Q: Determine which of the following is the particular solution for the differential equation…

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Q: solution

A: Please refer to the image below

Q: Evaluate the integral. [cx (2 + # ) co(2+) dz 0-csc (2 + 7) -CSC O + C -cot (z + = + z+ + C O cxc…

A: use the substitution method to solve the integral.

Q: Which of these could not be a parametrisation of y² = 8x...? a) y = t, x = ² Ob) y = 2t, x = t - Oc)…

A: Solution )  y2 = 8x  a) When y = t  t2 = 8x  x = t2/ 8  ( correct )  b ) when y = 2t  ( 2t)2 = 8x…

Q: Given the points P(−2, 3) and Q(−2, −5), find the magnitude and direction of PQ. Provide your answer…

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Q: Determine whether the series below is a geometric series, a p-series, an alternating series, or none…

A: According to question,Given Series,∑n=1∞ cos πn8n

Q: Determine the area of the region bounded by y = 3 xw and y = X 3 on the interval [1,10].

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Q: Determine the form of particular solution for the following differential equation (do not solve):…

A: The differential equation is given as , D2+9y=5ex-162x2 Determine the form of particular solution.

Q: Find the exact arc length of the curve on the given interval. Parametric Equations Interval x = 5…

A: Use formula of Arc length

Q: Given f(x, y) = = − xº + 3xy¹ - 5y³, find

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Q: he shape of an ellips following equation:

A: The equation of ellipse is given as   x2a2+y2b2=1where,a = 12*(lenght of major axis)b = 12*(lenght…

Q: Find the first four term of the Maclaurin series of the function f(x)=√x at c=1. Give an estimate…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1

Q: Find the slope of the tangent line to polar curve 2 (²/1, 7). 6 = - 2 sin at the point

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Q: Find a plane containing the point (2,5,-5) and the line Question Help: Video Submit Question Jump to…

A: Please see the below picture for detailed solution.

Q: The Maclaurin series for sinx can be written as ...? a) Oa) O b) Oc) o d) 18-00 (-1)'+1x2r+1 (2r+1)!…

A: To determine the Maclaurin series for sin x.

Q: 1. Given that f(x) = -5x² + 2x - 6, find: f(x+h)-f(x) (a) 4f(x)-f(2) (b)

A: To find the values of given expression using f(x)

Q: 12. Using the substitution u = = √x. S₁. (A) 25e" du (B) 25e" √x e" du dx is equal to which of the…

A: The given integral: ∫14exxdx

Q: Determine which of the following is the particular solution for the differential equation (D² -…

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Q: 6 5 4 3 2 1 779799 -3 -4 2 3 4 5 6 7 8 10 1 The graph above shows the base of an object. Compute the…

A: Solution: The Graph is made with a cylinder and cone.

Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

A: The given table for the velocity of the paper is given as                     Time…