D In10 In[log(x+1)] + C

Q: 30. A toy missile is fired straight up into the air having a height of h(t) = 45t-15f² metres after…

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Q: Graph the function by setting the x-intercept and the asymptotes. f(x)= I 4 (x − 3)(x − 1)

A: Given, y = x-4(x-3)(x-1)

Q: (1) x² x² + 3 ſ dx

A: according to company rules,i have to solve one question when multiples questions are posted so…

Q: Consider the following. Function у = 5e1 - *2 (a) Find an equation of the tangent line to the graph…

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate.) 1 / +5/9(7 +…

A: ∫1x897+x19dx

Q: Explain why a circle of radius 4 cm and a circle of radius 13 m have the same number of radians?

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Q: Find F(s). F(s) = £{t(et + e5t)2}

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Q: Three sides of a rectangular playing field are to be fenced with 400 m of fencing. Determine the…

A: Application of derivative

Q: minimum maximum (x, y) = (x, y)

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Q: f a function is increasing, then will using left or right endpoints overestimate the area under the…

A: Let's solve.

Q: 9) Write an algebraic expression for the following cos(arctan 2x)

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Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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Q: Consider the ellipsoid x2+ y2+ 4z2= 12. Find the general equation of the tangent plane to the…

A: Given that the ellipsoid x2 + y2 + 4z2 = 12. We find the general equation of the tangent plane to…

Q: II) Given: • tan a = 2√6, a € [0, π] 3 •cos 3 = and sin 30 5 Find the numerical value of the…

A: given tanα=26,  α∈0,πsince tanα is positive and α∈0,π, so α lies in quadrant 1

Q: Find the absolute extrema of the function on the closed interval. f(x)=8-x, [-2, 2] minimum (x, y) =…

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Q: Graph the function below by moving the vertical asymptote and the intercept to the correct location,…

A: NOTE: Refresh your page if you can't see any equations. . to find the vertical asymptote, take…

Q: Solve the integral: (A) B D In (2x² + 3x −4) ³ (4x + 3) dx integral: Sela (2x² + 3x-4 E In (2x² +…

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Q: The graph of f is shown. y -10 0 10 y = f(x) 20 30 40 X

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Q: Given the graph of the following degree 4 polynomial function, find all of the zeros and their…

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Q: Say whether the function graph below is continuous on [-1,6]. If not, where does it fail to be…

A: As per our answering guidelines we are allowed to solve only one question kindly repost others.…

Q: 9. A missile is rising at a constant rate of 100 meters per second. An observer is 600 meters away…

A: Given speed of the missile is 100meters per second. an observer is 600 meter away from the launching…

Q: what

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Q: What is the substitution in A. x-2-3 sec 0 S dx -4x-x²) 1/2 B. x+2=3 sec 0 using trigonometric…

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Q: h(x, y) = x³ − 3x + 3xy²

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s. f(t) = et cosh(t) L{f(t)}…

A: Note: Since the student has not given Theorem 7.1.1 to find the Laplace transform, so we solving…

Q: (1) f (1) x²(x³ +1)5 (x³ − 1)5 dx -

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Q: Consider the function f(x) = x² - 98x² + 4, −6 ≤ x ≤ 15. This function has an absolute minimum value…

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Q: 8 i) 이름을 . dx ii) f xel+x2 dx

A: This question can be solved using the concept of definite integrals.

Q: I. Given: 3x - y - 2z = 1 -x + 6y -3z = 0 -2x-3y + 6z = 6

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

Q: 2. A ball travels in a circle at 3 radians/s and starts on the positive x-axis. How far away is the…

A: Let 'w' be the angular speed of the ball travels in a circle.  Thus, w= 3 radians/s.  Let 't' be the…

Q: 4. A cannonball of mass 1kg is shot vertically upward from the top of a building with an unknown…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: If the radius is 9 cm, and the central angle is 80 degrees. Find the following a) Arc length,s b)…

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Q: Find the sum of the first 6 terms of the following sequence. Round to the nearest hundredth if…

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Q: f(x) = 3x, a = 7

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Q: ds Find the particular solution of dt H|2 1 = cos-t

A: The given equation is;  ds/dt = cos (t/2).

Q: Let R be the region in the plane bounded below by the parabola y = x² above by the line y = 2x. Then…

A: Use application of integral for finding the area of curve between two curves.

Q: || + 3 вн f(t) dr = 3 f(t) +

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Q: Graph to the image below and find the volume of the area bounded by y = (x^2 - 4)^2 and the x-axis,…

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Q: Find the absolute extrema of the function (if any exist) on each interval. (If an answer does not…

A: Topic - Extremas of the function

Q: dx 3 x + x

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (et-e-t)² L{f(t)}:…

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Q: 5) Evaluate the function: f(x+ Ax)-f(x) Ax for f(x) = 3x²

A: I have stated the used formula in the solution

Q: f(x) = − sin ( + 7) +2 == a. Determine the amplitude, period, phase shift and vertical shift of the…

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Q: find the angle between the pair of vectors to the nearest tenth degree 7i-5j,2i-8j

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Q: ENAS X dx 1+419x

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Q: 1. (a) First find the following indefinite integral A. e666 B. 2e667 (e - 1) e√x+666 [= √x dx = (b)…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

A: I have stated the used formula in the solution

Q: 4x A. dx - 3 4 4x A=²³cof=1¹³) + C__ _B. — co(=^^) + C +C 4 4x c. ²2 cof=14) + C 4x D.= co(-1) +

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