2 30 مر ول 2 + 6 +

Q: Find the exact value of the logarithmic expression without using a calculator. (If not possible,…

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Q: 14 mm 11 mm X h mm 12 mm Part 1: Part 2: Part 3: Part 4: Let ʼn be the height of AWXY. Find the…

A: This question is based on traingle Area.

Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ - r(t) = t²i+t³j to find k(t).

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Q: The relationship between the number of decibels ßand the intensity of a sound I (in watts per square…

A: Solution is done in step 2

Q: Using trigonometric substitution to evaluate: find x * S dx, √x²+16 x4 O x=4 tang O x=4 sing Ox=4…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. So||ti + Bij||dat 1717- = 13 X

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Q: A first order Bernoum's differential equation is in the form 2. The Bernoulli's form of the…

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ ||ti + 1²i|| dt

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Q: Suppose that z = x³y², where both x and y are changing with time. At a certain instant when x = 2…

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Q: Suppose that the daily profit (in dollars) from the production and sale of x units of a product is…

A: Given that the daily profit (in dollars) from the production and sales of x units of a product is…

Q: Use the formula k(t) k(t) = ||r' (t) x r"(t)|| ||r' (t)||³ to find k(t). r(t) = 7 cos(9t)i + 7…

A: Let's find.

Q: 2ydx+x(x² In y-1)dy=0

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Q: A circle is inside a square.

A: Let a be the side of square and r be the radius Let A be the area enclosed between the circle and…

Q: Find the length of the curve 3y = 2(x² + 1)2 from x = 0 to x = 3.

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Q: 2 xdx √9-4x²

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Q: 1. x²y' + 2xy-5y³ = 0

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Q: Calculate the derivative. g" (0), g(s) = es S+7 (Give an exact answer. Use symbolic notation and…

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Q: Find the sum of the series, if it converges. Otherwise, enter DNE. 6 Σ n(n + 2)

A: Given problem:-

Q: Determine the volume of the solid obtained by rotating the region bounded by x=(y−2)^2, the x-axis…

A: Given:        x=y-22 The volume of the solid obtained by rotating the region about the x-axis is…

Q: Determine whether the series is convergent or divergent. Σ 122 O convergent O divergent If it is…

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Q: Calculate the first five derivatives of f(x) = sin(x). Then determine f(24) and f(25). (Use symbolic…

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Q: compute the area of the surface formed when f(x) = 2 + cosh (x) between 0 and 1 is rotated around…

A: Given problem:- compute the area of the surface formed when f(x) = 2 + cosh(x) between 0 and 1 is…

Q: A plane flying horizontally at an altitude of 3.4 miles and at a speed of 790 mi/hr passes directly…

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Q: ad all values of x For w/c the graph of f lies above the graph of. f(x) = 49x; g(x) = 1

A: Given the query is to find the values fo x for which f is greater than g.

Q: ∫(4x3−12x)(x4−6x2)−3 dx Evaluate indefinite anti-differentiation

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Q: Evaluate [² (2x − y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3

A: C:x- axis:y=0dy=00≤x≤3=∫03(2x-0) dx +(x+0) 0=∫032x dx

Q: 1. fx² In x dx = f x² dx f ln x dx =(lnx-1) + C 3 Is the solution correct? If your answer is yes,…

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Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A: No Partial fraction formula is incorrect. Actually it is, x2x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1Multiply…

Q: 12 Σ (6i - 5)== i=1 (Simplify your answer. Type an integer or a fraction.)

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Q: Evaluate √ (2x - y) dx + (x + 7y) dy. C: x-axis from (0, 0) to (0, -7) and (0, -7) to (3, -7)

A: Let's find.

Q: A model for the spread of a rumor is given by the equation p(t)= 1/1+ae^(-kt), where p(t) is the…

A: Given problem:- A model for the spread of a rumor is given by the equation p(t)= 1/(1+ae-kt)…

Q: lim (i-8j+² k) 4 lim (r 1-8j+² k) = 1+ 16

A: We have to find the limit

Q: Write an equation of the form y= a sin bx or y= a cos bx to describe the graph below. 'y 3 AA x -2 4…

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Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x-y'dy=0 is

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Q: ex csex ex

A: Use integration by parts formula.

Q: The length of the side of a square floor tile is 15 cm, with a possible error of 0.05 cm. Using…

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Q: √x x² ln x dx

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Q: Find the arc length L of the graph of r(t). r(t) = t3 i+t p j+126t2 k, 3≤t≤6

A: r(t)=t3 i +t j+126t2 kdxdt=3t2dydt=1dzdt=252 t3≤t≤6

Q: The Smith's borrow $45,000 to purchase a new home. They finance the amount through a 25-yr mortgage…

A: Given problems:- 1. The Smith's borrow $45.000 to purchase a new home. They finance the amount…

Q: For the right triangles below, find the exact values of the side lengths b and c. If necessary,…

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Q: Calculate[ri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating dt the product directly and then…

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Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = et sin(t), z =…

A: r(t)=etcost i + et sint j + 11et kr'(t)=(etcost-etsint) i+(etsint+etcost) j                + 11et…

Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is

A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.

Q: Two years ago, $5, 000.00 was placed into an investment in which the amount of money present, P,…

A: To find the amount of investment after 15 years from now.

Q: "alse 1. The absolute extrema for a function f(x) will occur wherever f'(x) = 0 2. The rectangle…

A: Topic:- function

Q: Use the given derivative to find all critical points off, and at each critical point determine…

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Q: Sheldon is being chased back-and-forth by a dog along Euclid Avenue. His directed distance (in…

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Q: ) Compute the flux of the vector field F = 5xi + 2yj through the cylindrical surface shown below, if…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1₁ sin 20 de

A: This question is based on indefinite integral.

Q: Consider the following series. Σ» (#1) (a) Determine whether the series is convergent or divergent…

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