Integrate: fx(2x - 1)7 dx

Q: Use integration by parts to solve. Simplify final answer and write in factored form. 2 (x)ln(cos(x))…

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Q: Write the expression in terms of sine and cosine, and simplify so that no qu appear in the final…

A: Topic - trigonometric ratios

Q: Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in…

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Q: Assume that the functions ?,?,ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c,…

A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

Q: Evaluate the line integral along the given path. (4x-7y)ds C:r = 7ti+6tj, 0 ≤ y ≤8 O-454/85 O-444√85…

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Q: Evaluate the integral. sint dt (3 + cost) 6 OA. OB. C. O D. 1 7(3 + cost) 1 (3+ cost)5 + C + C 1 5(3…

A: I have stated the used formulas in the solution

Q: Solve the equation for solutions in the interval [0, 2). Use algebraic methods and give exact…

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Q: 25 A particle P is moving along a straight line. At time / seconds. > 0, the displacement, x metres,…

A: Given: a partical P is moving along a straight line. at time t sec, t>=0 the displacement x…

Q: Calculate lim n4x Σ 11.4 n. 4n

A: Given   limn→∞∑i=1ni.4in.4n

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t) = 5 cos(t)i + 11 sin(t)j…

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Q: Evaluate F-dr where C is represented by r(t). C F(x, y)=xyi+yj C: r(t)=28ti+tj, 0≤t≤7

A: To find ∫CF·dr

Q: Find cos(2A), if sin(A) = 45 53' and A is in quadrant 3.

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Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given that , Initial investment = $4000 Rate of increase = ?

Q: If √√x + √√y = 11 and y(9) = 64, find y' (9) by implicit differentiation.

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Q: Which of the following statements is true? If f(x) = sec (x) tan(x), then a particular…

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Q: Evaluate ff sin(9x² + 4y²) da, over the region in the first quadrant by the ellipse 9x² + 4y² = 1.

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Q: If the acceleration A(t) of an object is proportional to the square root of its speed S(t); write…

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Q: 9. Use the Limit Comparison Test to determine convergence or divergence. a. 00 1 k=1 √k³ -k+1

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one…

Q: VA Find the equation of the curve that passes through the point (1, 0) and has a slope of O = y = y…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: 5)  Solve the initial-value problem by using integrating factors. xy' = y − 3x3, y(1) = 0 y(x) =

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Q: (4) The symbol f was introduced by and is called an It is an elongated S and is chosen because an…

A: NOTE: As per our guidelines, I am supposed to solve only one question. Even though I have answered…

Q: 8. Evaluate the line integral fx'dx + xe 'dy where C is the closed path along the triangle in the…

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Q: Σ n=1 5n Vn3 +1

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Q: -1 'Cos'¹x { √(1-x²) } ]¹_dx og. { 1 + (sin (2x√(1-x²))} TT

A: Given data:- ∫cos-1x1-x2-1loge1+sin2x1-x2πdx

Q: The graph below is the function f(x) 4 02 -5-4-3-2-1 7 -1 0-2 3 -4 -5+ 2 3 4 est

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Q: 11. 12. 13. 14. 15. 16. 17. 18. For items 11-25 consider g(x) as defined below. I. lim g(x) does not…

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Q: Estimate the area under the graph of f(x)=1/x+3 over the interval [-1,2] using ten approximating…

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Q: 8. THE ANSWER PROVIDED IS DOESN'T MAKE SENSE. HOW DOES 21+7 = 38? PLEASE PROVIDE CORRECT ANSWER…

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Q: La y dx + 2x dy where C is the path along y = Evaluate 2x² from (-1,2) to (2,8).

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Q: Use the following information to complete parts a. and b. below. 3 f(x) = =,a=3 a. Find the first…

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Q: )  Find a formula an for the nth term of the arithmetic sequence whose first term is a1 = −7 such…

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Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

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Q: Estimate the value of the sum of series, s = En 00 2n=0 (-1)" n! > to within an error of 0.0002.

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x2 - 2xy + y2,…

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Q: The altitude of a triangle is increasing at a rate of 1.51.5 centimeters/minute while the area of…

A: The altitude of a triangle is increasing at a rate of 1.5 cm/min Area of the triangle is increasing…

Q: Find the derivative f'(x) = f(x) = of the function. 2 - 58 - x x²-6

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Q: The graph of the function fis shown on the right. a. Evaluate , f(x) dx. Let A (x) = f(t)dt. b. Find…

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Q: MTH 32 (3) What is the Definite Integral of a function f from a to b?

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Q: 3. Given the function f (x) = (x-100) (x+125) (x-70)² + 40 explain how the equation connects to the…

A: f(x) =(x-100)(x+125)(x-70)2+40

Q: A population of 440 bacteria is introduced into a culture and grows in number according to the…

A: We can solve the given problem by using the derivative rules.

Q: Suppose $1,500 is invested at an annual interest rate of 8 percent compounded quarterly. Compute the…

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Q: #2. Find a power series representation (centered at a = 0) for the function below ƒ(x) = = 1 1+x5

A: We know that the power series representation (centered at a=0) for the function ft=11+t is given by…

Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Use a triple integral to find the volume of the given solid. boilisoqa oda buat amoldong guiwa (89)…

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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

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Q: Find the indefinite integral of S Option 1: Option 2: Option 3: Option 4: x ln |1x|+C x ln x + C In…

A: Integrate the function (1-lnx)/x^2 w.r.t. x .

Q: Find an angle that makes the statement true. Use the Cofunction Identity. cot(50 – 32˚) = tan(0…

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Q: (19) State the Substitution Rule for integration. (20) Find f4r³√x + 10dx (21) Find fr³ cos(x¹ +…

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Q: 18. 19. I. g is continuous at x = 3. II. g has a jump essential discontinuity at x = 3. I. lim g(x)…

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