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Q: Find the exact length of the curve. y = In(sec(x)), 0≤x≤ w|ले

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Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

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Q: Using lim 0-0 sin 0 0 =1, find the limit. lim 18x (cot x)(csc 9x) X-0

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Q: Find the derivative of f(x) = (-x³ - 2x² - 2x) sin (x). Do not include "f'(x) =" in your answer.…

A: Topic = Derivative

Q: If a = 2j and b Select one: True False 4k, then a b = 8. ●

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Q: A:-Find parametric equations for the lines, the line through (4, 7, 1) perpendicular to the vectors…

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

Q: Assume that all variables are implicit functions of time t. Find the indicated rate dy dy dt x² +…

A: topic- implicit differentiation

Q: Find the difference quotient and simplify. f(x) = -5x²-3x+2 The difference quotient of f(x) is

A: The difference quotient of a function f(x) is given asf(x+h)-f(x)h

Q: 3. Use polar coordinates to evaluate the double integral. (a) ff sin(x² + y²) d4, where R is the…

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Q: X. 2x4 x³x²+x-1 S = C -dx

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Q: Find (f-¹)'(-6) given the following table of values. (Enter an exact answer.) Provide your answer…

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Q: 67. Find the volume of the solid formed when the graph of the region bounded by y = e*, x = 0, x =…

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Q: Evaluate the given function for f(x) = x² +1 and g(x) = x - 4. a) f(4)-g(3) _ ƒ(2) b) g(-1+h)-g(-1)…

A: Solution: f(x)=x2+1 g(x)=x-4

Q: oast The cost, C, of air conditioning your home, in dollars per day, when the temperature outside is…

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Q: me following limit, identify f(x), a, and L. elect the correct answer below: Of(x) = -x + 2; a = -1;…

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Q: 2. (cos x cos y cot x) dx + (- sinx sin y) dy = 0

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Q: x² dx √1+4x³

A: Solution of given question is written in below steps.

Q: A fence 6 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

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Q: Use newtons method to find the second estimate for approximating the zeros of the function. Fx =…

A: Explained below

Q: Method of undetermined coefficients y" -y = 3et ○ y = ₁₁e² + c₂e²x + ²√xex O y = c₁e¹ + c₂e²x + 3xe*…

A: Let's solve given diffrential equation.

Q: One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 15 hours. How…

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Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P+ 10P²,…

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Q: Prove the statement using the ε, δ definition of a limit. limx→3 (4x − 5) = 7

A: To solve the given problem. limx→3 (4x − 5) = 7

Q: 9 S10²/x dx

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Q: Evaluate the integrals: x² dx (x-1)(x²+2x+1) -dx 1. S 2. S x²+2x x4-3x²-4

A: Here we have to find the integral.

Q: 39. A. A conical-shaped reservoir has a depth of 20 feet and a radius of 10 feet. Water is leaking…

A: This question is based on similar triangles postulate and derivatives.

Q: 3) What is the radian measure of the indicated angle? a) o 5 b) O 11 o 6 c) O 17T 6 d) o 23t 6

A: To determine: the radian measure of the indicated angle

Q: Compute dy if y=U³₁, V= dx 4x+1

A: Differential

Q: f(x) below, what is the open interval(s) over which f'(x) is negative? 6 5 4 3 2 1 1 -2 -6-5-4-3-2-1…

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Q: Let f(x)=x²+3 ifx<1 3x+1 ifx21 lim f(x) b) d) lim f(x) lim f(x) ƒ(1) Find

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Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f''(9). f''(x) =…

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Q: Evaluate the integrals: 1. 2. -2 dx 0 8+2x² x+3 2x3-8x S - dx

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Q: The annual inventory cost C for a manufacturer is given below, where Q is the order size when the…

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Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

Q: Integrate the function r3 So³ x² e ²x both analytically and numerically. For the numerical…

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Q: Bernoulli Differential Equation: Find the general solution 2 = x³y4 x dy dx y-³ = cx6 + 3²4 2y-3 =…

A: To solve differential equation

Q: 16. If g(x) = x + 2 cos x, then the equation of the tangent line to the graph of g at x = is 3π 2 A.…

A: This is a basic application of derivative problem

Q: u. V. x + 3 2x³ - 8x S - dx x² dx (x − 1)(x² + 2x + 1)

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: DETERMINE THE SLOPE OF THE TANGENT LINE TO THE CURVE y=2 – x2 at the point (3,-7)

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Q: 1. A line passes through the points A (7,-4) & B (-5, -2). Find a vector equation of the line. [x.y]…

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Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: Finding nth Partial Sums In Exercises 1-6, find a formula for the nth partial sum of each series and…

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Q: B: solve the system of equations by Grammer Metho 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

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Q: lim (√n²+ n-n)

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Q: Find the equation of the line tangent to the graph of f(x) = -3 tan (x) - 5+3 at x = -4. Submit your…

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Q: 6. Let A= (1, 2, 0), B = (3, 4, -1), and C= (4, 5, 2). Find the exact value of the distance between…

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Q: Find (x,y) for the lamina of uniform density p bounded by the graphs of the equations x = 169-y² and…

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Q: at L'Hôpital's rule may not apply or may require multipl w and, if necessary, fill in the answer box…

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Q: [Q1] From the letters {A, B, C, D, E, F, G}, how many: (a) 3-distinct-letters codes can be…

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