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Q: A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8…

A: It is given that a projectile is shot from a cannon, the muzzle velocity is v0=500 m/sec at which…

Q: A motorcycle covers a distance of 48 km per litre of petrol consump- tion. The cost of petrol is…

A: According to given, Let us take 3 variables, m for milage= 48 c for cost of petrol per liter= 20.30…

Q: Find the eccentricity of the conic section. The point shown on the x-axis, (- V3,0), is the focus.…

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Q: Evaluate the definite integral 4x2 + 8 dz 3. C

A: Given query is to find the value of the integral.

Q: If f(x) (t° + 6t +3) dt then f'"(x)

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Q: Solve the equation. Write the solution set with the exact solutions. log10 (7-m) + log10(-m-2) =1 If…

A: logb(m)+logb(n) = logb(mn) logby =x is equivalent to bx =y.

Q: Find the flux of the vector field F(x, y, z) = across the surface S, where S is the part of the…

A: Given

Q: Evaluate and write your answer in a + bi form. [3(cos 68° + i sin 68°)]° - Round to two decimal…

A: De moivre's theorem states that cosθ+isinθn=cosnθ+isinnθ

Q: Does the following series converge or diverge? (2n)! Σ 6"(n!)? n= 1 O The series converges. O The…

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Q: %3D 4 4

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Q: Example Find the exact area of the surface obtained by rotating the curve y? = x + 1, 0 <x< 3, about…

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Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: Convert the equation r = 4 csc (0) from polar coordinates to rectangular coordinates. (Express…

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Q: Convert the equation r = 4 sec (0) from polar coordinates to rectangular coordinates. (Express…

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Q: 3. Determine whether the following series are odd or even functions. i. f(x) = x² ii. f(x) = x³ iii.…

A: We have to determine whether the given functions are even or odd.

Q: Question The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is…

A: A=12bhDifferentiate w.r.t 't'dAdt=12hdbdt+dhdtbSubstitute h=12, dhdt=9, dbdt=5, b=4

Q: Oil from a leaking oil tanker radiates outward in the form of a circular film on the surface of the…

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Q: 11 E cos(Tk) : k=0

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Q: 3. Use any test to determine whether the series is absolutely convergent, conditionally convergent,…

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Q: Answer the following True or False. 7x7 the fundamental theorem of calculus tells us that Since dx 1…

A: Fundamental Theorem of calculus:If f(x) is continous function, F(x) is antiderivative of f(x). Then,…

Q: If C(x) = 16,000 + 600x – 1.6x2 + 0.004x3 is the cost function and p(x) = 1,800 – 7x is the demand…

A: Given query is to find the production level where profit is maximum.

Q: Question 6 Differentiate: arcsin () + arccos (2) = 1 + arccos () = 1 %3D O y/x O (E) None of these O…

A: Derivative dydx of sin-1xy+cos-1yx=1

Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: Best Publishing makes and sells dictionaries. They have a monthly fixed cost of $5,976 for rent,…

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Q: Answer the following question Find the 12th derivative of the function ()65

A: To find,  12th derivative of the function x265.

Q: Match the graph of f, below, with that of its derivative. 3. -3 -2 -1 I 2 3 -3+ 4 ++ -6 -4 -2 4 6 2.…

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Q: Salve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y=…

A: Let's find.

Q: Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii.…

A: Take the two examples of periodic functions and then solve.

Q: Given: In(1+x) = n+1 if x < 1. n + 1 n=0 2. Evaluate f(2022) (0).

A: To solve the following problem

Q: Suppose the frame has a top tube length of 52.2 centimeters, a seat tube length of 49.0 centimeters,…

A: Given Top tube = 52.2 cm Seat tube = 49 cm Seat Angle = 75.0°   We can use the cosine rule here.…

Q: Find the volume of the solid which is under the surface z = 16 – x² – y and above the plane z = 8.

A: Given

Q: 2 f-2 xLo if where 14ーx2 if oLx 42 4 -x² if OL x -2

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Q: x* + 3x? + 1) dx 5. 2e*dx 6. S(2e*+4*)dx 4.

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Q: Example For the curve y = f(x) = x², 0 <x < 2, its length is dy 1+ dx L = dx %3D

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Q: Use a graphing calculator to solve the nonlinear system. y = log (x+ 5) y =x? Select the correct…

A: this question has been solved using a graphing calculator desmos.

Q: 20. a = }, b= 2,b 2

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Q: (a) Use integration to evaluate, cor- rect to 3 decimal places, dr (b) Use the trapezoidal rule with…

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Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: Use the Integral Test to determinOwheher the scrie sure to show that the hypothescs of the Intogr al…

A: Given

Q: Question Consider the graph of f'(x) shown below in blue. Submit your answer to this question by…

A: We will first find the critical point of f(x) by using the graph of f'(x) and then use the second…

Q: Calculate -2 + lỉ. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a - b -

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Q: Describes the differences between Direct and Inverse variation.

A: Direct variation:The quantities are said to be in direct proportion if:  An increase in the quantity…

Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: If f (x) = Vx + 7 and g(x) = , , find f(x) · g(x). Keypad Answer Keyboard Shortcuts f(x) · g(x) =…

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Q: Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

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Q: 2. Let f be continuous and differentiable everywhere. Suppose that f has zeros at 1 and 3. Show that…

A: answer is in next step

Q: (a) Determine the height h of the tooth (i.e., the maximum value of y(x)). (b) Determine the…

A: According to Bartleby's policy we are allowed to solve only 3 subparts of a question. Apologies for…

Q: (y?ty)dx - (x² x ) dy = o

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Q: If this test had 13 questions, how many ways could you get 7 questions correct? Answer:

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Q: Evaluate the definite integral 8 | (2x + 4)dr 2

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