Find the general antiderivative. Use c as the constant of integration. x 9 dx

Q: x² + x − 1 x(x² − 1) dx

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Q: Find the angle between the vectors to the nearest hundredth of a degree. p= and q =

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Q: x²-2,x 0 [K6] a) Sketch the graph of y = f(x). b) Evaluate lim f(x). x-3 c) Evaluate lim f(x). x-0…

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Q: Find the average value gave of the function g on the given interval. 8 1+ [0, 9] gave = g(t) = =

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Q: Find the fourth roots of +³ Write the roots in trigonometric form. ○ w₁ = cos(20°) + i sin(20°) w₂ =…

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Q: Newton's Law of Cooling says that the rate at which a body cools is proportional to the difference…

A: The temperature Ft of the body at time t after being introduced into an environment having a…

Q: 6. Consider the following graph of the function f(x) = cos(x). Draw on top of the graph to indicate…

A: Here we have given a function: f(x)=cosx. a) The limit that will compute the exact area represented…

Q: 17. bn = 5n-1 12n +9

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Q: Find the magnitude of the vector. Give the answer in simplest radical form for magnitude. z = 12i +…

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Q: Consider the solid of revolution given by revolving the area bounded by y = 15. x² + 1 and y =…

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Q: A circular swimming pool has a diameter of 18 m, the sides are 3 m high, and the depth of the water…

A: Given: Diameter= 18 m Sides = 3 m  Dept = 3 m  Acceleration = 9.8 Density = 1000

Q: First find ƒ' and then find ƒ. ƒ"(x) = 5 − (2x³ + 3x²), ƒ'(1) = −3, f(1) = 3. ƒ'(x) f(x) = = 0

A: f''(x)=5-(2x3+3x2),f'(1)=-3,f(1)=3

Q: (a) x2 x² - 1 x²16 1₂ dx

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Q: Example 1: Consider the graphs of the functions f(x) and g(x) given below. Find each of the…

A: "Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: where r(t) is 12) The growth rate for a 24-hour period of a bacteria colony is measured to be r(t) =…

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Q: Subject: calculus  Using integration, find the area of the region enclosed by the lines 2x+y-6=0…

A: Given equation of lines are as following 2x+y-6=0 ; 3x-2y-1=0; x-3y+4=0 To find the area enclosed by…

Q: Find the surface area of the portion of the plane z = -5x - 4y + 5 above the region {(x, y) 10≤x≤2,…

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Q: 17. In 3/1 x 1 Lett In 20 + y dy dx

A: ∫ln2ln3∫01ex+ydydx

Q: 7. f(x) = 2 3-x

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Q: Given f(x, y) = 9xy + 5xy. Compute: a² f дх2 = a²f = dy²

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: 3. f(x, y) = x² + 4xy + y²

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Q: Determine whether uand v are orthogonal, parallel, or neither. Explain your reasoning. (4,7), v =…

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Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

A: Give that marginal cost function C'x=0.0006x2-0.14x+25 and daily fixed cost is = $900

Q: x-3 x²-3x-18 f(x)=-

A: It is the behaviour of a graph of a function is how the graph behaves as x approaches to positive or…

Q: Given that tan A = 2 and tan B = 1, and that angles A and B are both in Quadrant I, find the exact…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Use the integral test to determine whether each of the following series converges or diverges. For…

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Q: (d) 2 fra -2 f(x) dx =

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Q: 3) Find the area bounded by the parabola x = 9-(y-2)² and the y-axis.

A: We know that area formula int_a^b f(x) dx

Q: y = x³, y = 0, x = 2 . Find the volume created by revolving about a = = 3. Use washer or disk…

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Q: Find the trigonometric form of the complex number shown below. √3+ i O 2√3 (cos+ i sin ) O √2 (cos+…

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Q: A volume is described as follows: 1. the base is the region bounded by y y = 3.5x² +0.4 and x = 1;…

A: We have to find the volume.

Q: /n³ + 1 n=1 3n³ + 4n² + 2 00 EXAMPLE2 Σ Since an is an algebraic function of n, we compare the given…

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Q: Use the graph of the rational function f(x) to complete the statement. As x 27, f(x)→ -10 OO -2 +∞ 0…

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Q: 4) IF F(2) = 20 and F'(x) 24 for all valves OF X, how small can F(5) Possibly be? Use mean value…

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Q: Determine either absolute convergence, conditional convergence or di Σ (-5)-n n=1 O Converges…

A: The given series is  ∑n=1∞-8-n [picture is not clearly visible, if it is any other digit instead of…

Q: ly the Ratio Test to determine convergence or divergence, or state that the lim n→∞ an+1 an n n² + 1…

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Q: 2. The solution of the D.E. xdy + ydx = 0 is A. = C B. x² + y² = C C. xy = C D. x+y=C

A: xdy+ydx=0

Q: xp zx^x 0/ S (a)

A: The given integral is xsqrt(1-x2), limit from 0 to 1 to

Q: (c) dx So ² (x² + 1)²

A: we have given integration ∫ 011x2+12dx

Q: (b) So = x-4 r2 – 52 + 6 dx

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Q: Compute the partial sums S2, S4, and S6. S2 = S4 = S6 = 3 1.2 + 3 3 + 2.3 3.4 +...

A: First we find the sops of given sequence.

Q: Rewrite the sum using sigma notation. Σ 52 1 54 + 5 5 5 + 8 16 32 64 - (-5)+5 (3 5 2 - X + 5 128

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Q: Find the power series representation for f(x). f(z) = ;}. O None of the other choices

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Q: 11) An animal population oscillates over a 7 year period from a low of 800 in year t = 0 to a high…

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Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series where S is the partial sum…

A: Given: S=∑n=2∞ 1n+1-1n+2 To find the S3,S4,S5,S.

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take the partial…

Q: Find the third term in the expansion of (a - b)33.

A: Binomial expansion  ( a +( - b ) )n = C0n( a )n( -b )0 + C1n( a )n-1( -b )1 + C2n( a )n-2( -b )2 +…

Q: 7) Refer to the information in Problem 6. Find the object's total distance traveled on the interval…

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Q: The sum can be written as a single integral in the form Determine a and b. a = 5 [ ² f(x) dx + √₂²…

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Q: and a tangent vector at point P. 2 166. (x² + y²)² = 9 (x² - y²), P(√2, 1)

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