1 cotx ln sinx|dx x In [ x Ja 2 1 2

Q: 4. (a) (i) Determine the Maclaurin series for sin (2²) up to 2¹4 term. (You may use the Maclaurin…

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Q: Find the distance from the point to the line. (-2,2,-4); x = 2+2t, y=3-t, z=-1-3t The distance is…

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Q: 7 in X 26°

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: I The region formed by y = 3x - ³y = 2, and y-axis is revolved around the y-axis. Find the volume.…

A: The region is formed by the curves, y=3x-x3y=2x=0 y-axis Shell Method formula- The volume of a…

Q: Use the graph of the function f shown to the right to find f(-4), f(-3), and f(-2). f(-4)= f(-3) =…

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Q: (i) [² sin(x) sin (cos(x)) dx 0

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Q: 5. The golf ball manufacturer, Pro-T, has developed a profit model that depends on the number x of…

A: To find : maximum profit and values of x and y to maximize it.

Q: 5. The graph below shows the function h(x) over the interval 7≤x≤7. At which x-values is h(x)…

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Q: Solve the given differential equation by separation of variables. dy xy + 7x-y-7 dx xy - 2x + 8y -…

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Q: Graph a vector, opposite to the given vector, that has an initial point at the origin. 02 PENCIL…

A: Let r is the given vector.We can see that given vector is passing through the point (-7,2) and…

Q: f(x) = x² - 4 - 2 k-x X if x # 2 if x = 2

A: A function f(x) is continuous at x=2 if left hand limit and right hand limit and the function at x=2…

Q: Use the one-to-one property of logarithms to find an exact solution for If there is no solution,…

A: Here we have given a logarithmic expression: ln7+ln7x2-6=ln39 Properties we will use here are given…

Q: Σ(-1)" √TI 2n + 3

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Q: x cos(x) dx?

A: ∫xcosxdx

Q: 1. Determine the derivative with respect to 'x' of: a) f(x) = 4cos(x³) - sinx b) f(x)=x² cos² (5x)…

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Q: Determine the derivative of the following exponential function d. f(x)= 10* (sin sin x)

A: We have to find the derivatives of the function.

Q: A bicycle wheel has radius R. Let P be a point on the spoke of a wheel at a distance d from the…

A: Given          parametric equations…

Q: Question 5 Which values fall within the range of this function? f(x) = -4x+3+2? Select all that…

A: To determine the value that falls within the range of  the following function. fx=-4x+3+2

Q: Derive the formula by using integration by parts on the left-hand side. (Assume n > 0.) 1 [x²² dx =…

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Q: 7. (1 point) An object starts from rest at the point P(1,2,0) and moves with an acceleration of a(t)…

A: Given an object starts from rest at the pont P(1,2,0) and moves with an acceleration of a(t)=j+2k.…

Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

A: x=3sin6t ,y=6cos6t

Q: 7. Sketch the region and then use the disk/washer method to set up an integral to find the volume of…

A: To sketch the region and then by using the disk/washer method to set up an integral  to find the…

Q: Assignment: Consider the region bounde by the parabolas: 2 2 y = x + 4x + 3 and y = x + 2x + 3. A.…

A: Area under the curve f( x ) and g( x ) is given as A = ∫ab[ f( x ) - g( x ) ]dx Given functions y =…

Q: Consider the table below for lim (f (h)). Step 2 of 2: Find lim (f (h)). h-673" h 672.5 672.9 672.99…

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Q: 4x² +28x + 25 (x + 7)(x + 2)² 1 x+7 B (x + 2) 3 (x + 2)²

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…

Q: Find the point, P, at which the line intersects the plane. x = -7 +4t, y = −5+8t, z = 7+ 5t;…

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Q: Find the point at which the line meets the plane. x= −3+6t₂ y = −4+5t, z= −3+4t, x+y+z= -25 The…

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Q: The following equation shows how a population grows every year by 5%. P(n) = 2000(1.05)" Where P is…

A: P(n)=2000(1.05)n n=10 years

Q: Evaluate the given definite integral. 6 x√x-6 dx

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Q: Find the cosine of the angle between the vectors (1, 1, 1) and (8, -7, 12). (Use symbolic notation…

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Q: .1/3 Let ƒ(x) = x¹/³, and let T₁(x) be the nth Taylor polynomial of f centered at a =

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Q: Use implicit differentiation Find dy at the point (1, 1) for 7x² + 4y³ + 6xy = 0. dx 10 9 10 to find…

A: given 7x2+4y3+6xy=0 , point is (1,1)

Q: pls solve within the time given. and make sure it is 100% correct thanks, Determine the concavity…

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Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. What…

A: Given, To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9780. Then…

Q: Find the exact slope of the tangent line to the parametric curve t = ㅠ 3 Give an exact answer, do…

A: We know that the slope formula of parametric equation is  dy/dx=(dy/dt)/(dx/dt)

Q: SCX anx cotx 2. The expression 1 sinx 2 1 - cos²x is equivalent to which of the following?

A: Formula used  sin2x + cos2x = 1 cscx = 1sinx

Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…

Q: sin 3t. ln(sint) −i+ In(tant) lim +0+ sin 2t - j + (tlnt)k

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Q: Determine whether the lines L₁ and L₂ are parallel, skew, or intersecting. L₁: x = 9 + 6t, y = 12 -…

A: We have to find that given lines are parallel interest or skew.

Q: Find the indefinite integral. x³ x² - 6 4 dx

A: The given integral is x3/(x4-6).

Q: Find a vector equation of a plane having x-intercept 4, y-intercept -1 and a z-intercept of 5.…

A: The x-intercept is 4 The y-intercept is (-1) The z-intercept is 5 So they can be written in ordered…

Q: week 5 discussion Section 4.1 #36 find the inverse function. those illustrated in Example 2, Check…

A: We have   f(x) = 3/4 x

Q: A jumbo jet maintains a constant airspeed of 500 miles per hour (mi/hr) headed due north. The jet…

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Q: 15, Suppose a company has fixed costs of $1200 and variable costs per unit of 16x + 1620 dollars,…

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Q: A meteor follows a trajectory r(t) = (8,6,5) +t(7,6, -2) km with t in seconds, near the surface of…

A: A meteor follows a trajectory rt=8,6,5+t7,6,-2

Q: Find the value of k such that the limit exists x² kx + 4 lim x-1 - x - 1 The k value is The limit is…

A: We have  function (x2-kx+4)/(x-1) We have to find value of k for limit existence when x tends to 1…

Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) 2x +9y 5x – 2y

A: given function is f(x,y)=2x+9y5x-2y

Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: Given x = - 6t - 3 & y = 5t + 2

Q: The population of a city is modeled by the equation P(t) = 479,442e0.1t where t is measured in…

A: The population of a city is modeled  by the equation  P( t ) = 479442e0.1t Where t is measured in…

Q: In this problem, y=c₁ex + c₂e-x is a two-parameter family of solutions of the second-order DE y" - y…

A: Given that ,   y = c1ex + c2e-x  is  a solution of the differential equation y''-y =0. We have to…