Given that logp q = x 2 and logq p = 1 2x−1 , find x

Q: Let (-7, 3) be a point on the terminal side of 0. Find the exact values of Sin Ø, Csc Ø and Cot Ø

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Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

A: To identify the type of solution for the given problem and to solve for the general…

Q: Find the exact sum of the following series In 32 3 5 ¤ In ( ² ) - — / 2 12 In 3 (²/²) - 1²/ 2 ○ In…

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Q: Given a = (5, 10) and p = (1, 3), find – ả + 4p. 10 - a + 4p =

A: a→=<5,10> and p→=<1,3>

Q: Find the general solution of the differential equation. y(4) + 14y" +49y = 0. NOTE: Use C₁, C2, C3,…

A: Given :y4+14y''+49y=0

Q: For the differential equation y(n) + P₁(t)y(n-¹)+...+Pn(t)y=0 with solutions Yı, •, yn Abel's…

A: We have to find the Wronskian of a fundamental set of solutions of the differential equation.

Q: Find the centroid of the region bounded 1 y = 6 sin(x), y ==x, and x = The centroid is at (x, y)…

A: The solution is given below

Q: Evaluate the following Rational Fractions -(3 cos² 0 + 8 cose-12) sine de cos³ 0+7cos² 0+ 12 cos 0…

A: The given integral is;  -(3cos2(theta) +8cos(theta)-12)sin(theta)/(cos3(theta)+7cos2(theta)…

Q: use logarithmic differentiation to find the 1st derivative f(x)= x²(2x+3) (x²+1)*

A: given function  f(x)=x22x+3(x2+1)4

Q: Describe the transformations that map the function y=2^x on the function y=2^x+3

A: Solution

Q: Let f(x) be defined by f(x) = 3x² + 5x + 2. Find f'(1). Note: Your answer (if it's not an integer)…

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Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

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Q: 3. I want to save $5,000 for a down payment on a car. To the nearest dollar, how much will I need to…

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Q: A 25-year old woman burns 150 - 60t cal/hr while walking on her treadmill. Her caloric intake from…

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Q: Choose the value for a such that of 32 x² y cos(ax)dx d y = −4ñª 02 O None of the others O 2 0-2 O…

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Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal places.…

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Q: For the differential equation y(n) + P₁(t)y(n-¹)+...+Pn(t)y=0 with solutions y₁, , yn Abel's formula…

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Q: 5. lim 248 100 5+2³+ [In(In r)] 7² +6²+ [In(In x)]200

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Q: The graph of f is given. Find the following or write d.n.e. if it doesn't exist. If a limit is…

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Q: Determine whether the series converges or diverges. n+5 Σ n = 11 (n + -6)5

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Q: Find the interval of convergence of the power series 0-1<x<1 0-kisl 0-15 51 0-15 <1

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Q: Express the number –2 in the form R(cos(0) + i sin(0)) = Re where R> 0 and 0 ≤ 0 ≤ 2π. NOTE: Enter…

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Q: Graph the function showing all relative extreme points and inflection points. f(x)=√√√x6 + 4 ++ 2 3…

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Q: 2 0 The Integral ²₁ g(x, y) dydx can be 1-x written as: Select one: 2 O S-²₁ ₁²₁, g(x, y) dxdy 1-y 0…

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Q: Find the equation of a plane passes through (1, 2, 3), (3,2,1) and (-1, -2, 2) ○ 4x - 3y + 4z = 10…

A: This question is based on finding equation of plane that passes through 3 points.

Q: Write the vector shown above in component form. Vector = Note: In the graph, each box is 1 unit by 1…

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Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

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Q: Evaluate the function at the given values of the independent variables. Simplify the results. f(x,…

A: Topic = Functions

Q: In Problems 13-16, graph the constant-cost lines through (9, 9) and (12, 12). Use a straightedge to…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: This question is related to implicit differentiation, We will solve it using given information.

Q: Find the smallest number n of terms needed to obtain an approximation of the series 10 -6 n = k=1…

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Q: If w=f(p, q, r), where p-z2-y², q=y²-22, and r = 22-2², show that 1 Ow x 8x + 1 8w у ду + 18w z Əz…

A: Given w=f(p,q,r)and p=x2-y2,   q=y2-z2 and r=z2-x2

Q: y² = 8x,x=2, AOR = Y AXIS

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Q: Consider the function g(x) =−4 log (−1/3 (x + 2)) + 1. a) Describe, in order and with detail, the…

A: We will use concepts of translation , dilation and reflection.

Q: Estimate the slope of the graph at the points (x₁, y₁) and (x2, Y₂). At (x₁, y₁), slope At (x, y₂),…

A: We know:- sllope of a line passing through two points =y2-y1x2-x1

Q: 2. Use the Limit Comparison Test to determine whether the following series converge or diverge: a)…

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Q: Maximum Revenue Jesaki Electronics manufactures and sells a smartphones per week. The weekly…

A: NOTE: Refresh your page if you can't see any equations. . the demand and cost functions are where…

Q: Find the exact length of the polar curve. r=0², 0≤0 ≤ 6π

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Q: Ⓒ giver fixt 4 2 M + 2 as Find the integral y fam be fou half, of a circle. an [0,7].

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Q: Suppose the dollar cost of producing x video cameras is…

A: We need to find marginal and average cost.

Q: Find the dimensions (in inches) of the open-top cylindrical tin can with volume 125 cubic inches…

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Q: Find the unit vector in the direction of =(-4,-2) Give EXACT answer. You do NOT have to simplify…

A: Topic = Vector

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (0,2) 5 4…

A: Please see the below picture for detailed solution.

Q: Find the third degree Taylor polynomial T3 (x)centered at a O T3 (x) = 3 - 6x + 9x² - 12x³ O T3…

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Q: In Exercises 1-2, let u = (3, 2, −1), v = (0, 2, −3), and w = (2,6, 7). Compute the indicated…

A: Note:- according to the company policy we can attempt only three subparts of a question so please…

Q: Grandma wants to give you $540 at the beginning of each month while you are at school for 3 years.…

A: We know that, Future value = PMT × p {[(1 + r/n)(nt) - 1] / (r/n)} where, PMT is the periodic…

Q: first order partial derivatives, i.e. dz/dx, dz/dy: xy³. z = In√√xy Z

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Q: 4. Coffee at temperature 180°F is cooling in a room with constant temperature 75°F. If it takes for…

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Q: (3x²-33x+90) 5x²-10x-120

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Q: Find the general solution of the differential equation y"-y-6y 16e²t. NOTE: Use c₁ and ca for the…

A: Given  y"-y'-6y=16e2t