The length of one square is 70% larger than the length of another square. The perimeter of the larger square is what percent of the smaller square? The area of the larger square is what percent of the smaller square?

Q: C 1(10) QU

A: Given query is to find the value of the Indicated function.

Q: 2. Solve the equations a. ( b. ( b. i ) e²x-7e²-8 = 0. ‚) 2(3x+6)_g(1-x) = 0. ) log (x)+log (x − 6)…

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Q: Find the sum of the series, S. τη Σ 2mn! n=0 S =

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Q: Find the derivative of the function. 14 logg(t) t g' (t) = g(t) =

A: Topic = Derivative

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A: Concept: Formulas used (f·g)'=f'g+fg'eln(a)=addxex=ex

Q: A tank contains 80 kg of salt and 1000 L of water. A solution of a concentration 0.04 kg of salt per…

A: NOTE: Refresh your page if you can't see any equations. . y=amount of salt at time t…

Q: Suppose that f(x, y) = 3x²y² + 9x² + 7y² then find the discriminant of f.

A: The discriminant of f(x,y) is given by D = fxx fyy - (fxy)2

Q: Let r(t) (4t+2, -4e¹, 2e #¹). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) = = +t

A: Given vector:- r→t=4t+2,-4et,2e-4t

Q: 4. What is the length of the latus rectum of an ellipse with equation x² + 4y² - 2x - 8y + 1 = 0?

A: Topic = Ellipse As per guidelines , At a time only one question can be answered. please repost for…

Q: Consider the space curve r(t) = (3 sin(- 4t), cos(-4t), 2√2 cos(-4t)). a. Find the arc length…

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Q: The position vector r describes the path of an object moving in space. Find the velocity v(t), speed…

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Q: d) Compute the angle in Degrees between 3 and 4

A: We have to find angle between vector V3 and V4

Q: the lcm of 21 and 54

A: To find out the LCM of the given numbers.

Q: Multiply and simplify: (4x) (8x²) The answer can be written in the form cx where: C= p=

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Q: If f(x) = x³ + 6x +5, find (ƒ−¹)'(5) =

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Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = t³ - 3t² - 1.…

A: We can find distance travelled by the particle .

Q: Prove that the following differential equation: (1 + x2)y'' + 2xy' - 2y = 0 has the following…

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Q: Exercise 1. Let an 2n 3n+ 1 (a) Determine whether (an) is convergent. (b) Determine whether an is…

A: Part (a) A sequence an is said to be convergent if limn→∞an exists and is finite. Determine limn→∞an…

Q: A population of insects increases at a rate of 270 + 14t + 1.5t2 insects per day. Find the insect…

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Q: The figure shows the graph of a function. At x = 0 is the given function differentiable, and/ or…

A: Topic - Continuity and differentiability of a function for a function to be continuous at x=a,it…

Q: Le symbole sigma pour la somme est une notation standard en mathématiques qui nous permet d'exprimer…

A: Given information (a):-   ∑i=1n f(x1),     (b):-  ∑i=1n f(xi), (c):- ∑i=0n xi ,           (d):-…

Q: 3. The slope of a curve at the point (x, y) is given by 3x²y + 2y. Find the equation of this curve…

A: To find the equation of the curve with given slope

Q: What would the revenue function be

A: As we see Demand function Dx=-0.095x+4.545

Q: Let F(t) = (4t¹ +4, t² − 4t³, 2tª). Find the line (L) tangent to r(t) at the point (68, 36, 32) L:…

A: Given vector:- r→t=4t4+4,t2-4t3,2t4

Q: The displacement, y (m), of a body in damped oscillation is y=2e 'sin3t. The task is to: a) Use the…

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Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches the function…

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Q: What point on the line y = 3x + 10 is closest to the origin? The point on the line y = 3x + 10…

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Q: Find the indefinite integral. (USE INTEGRATION BY PART ONLY-Use C for the constant of integration.)…

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Q: J 1 (4-x²)3/2 dx

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Q: Find the solution to the boundary value problem: d²y dt² dy 2- + 5y = 0, y(0) = 1, y(π, dt

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Q: Question 2 Find the oblique asymptote of the graph of y = Oy=x+1 y=x+4 Ⓒy=x-3 Oy=x-1 y=x x²+2 2-1

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Q: can you please write out the final answer as its supposed to go in the answer box because I cannot…

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Q: Find the derivative of the function at Po in the direction of f(x,y,z) = xy + yz + zx, Po(3,-3,1),…

A: Topic:- application of derivatives

Q: Complete the following: In √√√x(y² + z²) = C' ln x + D ln(y² + z²) with C' = and D =

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Q: Solve the DE. (1 + y²) dx + (1+x²) dy = 0 O tan x + tan y = C e + ey = C O lnx + lny = In C arctan x…

A: Topic = Differential equation

Q: Write the equation of the line that passes thruigh the point (2, -3) with the slope value 2. Express…

A: To write the equation of the line in slope intercept form

Q: For the images attached Find the limit of the following sequences or determine that the limit…

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

Q: A particle moves along the x-axis so that its velocity at time 0 7 or (₂) Submit Answer U ∞ > [₂]…

A: slope of velocity vs time graph represent acceleration  and where  slope is positive indicate that…

Q: Please solve using related rates and implicit differentiation: A long ladder 20 feet long is…

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Q: A particle moves in a straight line with velocity t-2-1 ft/s. Find the total displacement and total…

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Q: Enter an exact answer. Provide your answer below: Maximum value: 6 1.

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Q: Suppose f ¹ is the inverse function of a differentiable function f and f(2)=9, f'(2) = }, then (f…

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: Let f be defined as follows: x 0 f(x) = Which of the following statements are true about? 1. f(0)…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: Find an equation of the tangent line to the function y = 2x² at the point P(1, 2). Solution We will…

A: We need to find an equation of the tangent to the function y=2x2 atthe point P1,2.Note: We will…

Q: Evaluate the series or state that it diverges. Σ (3) 8 k=2 8 3k Select the correct choice below and,…

A: The given series is (3/8)3k, k from 2 to infinity. Repost the next question.

Q: Given: (2x³ — x − 1) ÷ (x − 1) = 2x² + 2x +1 - Therefore: (2x² + 2x + 1) ÷ (X − 1) = 2x³ O True O…

A: The statement is false .

Q: 1. Consider the curve given by xy² - x³y = 6. dy_3x²y-y² dx 2xy - x³ a. Show that = b. Find all…

A: Topic = Derivative

Q: A simple series circuit has an inductance of 1 Henry, a resistance of 50 ohms, and a voltage of 5…

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