Find the acute angle between two tangent lines at point of intersection between two curves xy = 5 and y² = 25x

Q: Solve ²₂(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

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Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: 1 Find the arclength of the curve x = 3 1 ',v = 22 -t³ t2 with 7 ≤ t ≤ 8.

A: The arc length of a curve in parametric form x=f(t) ; y=g(t) for b≤t≤a is given by,…

Q: The interest rate on a GIC is 4.50% compounded quarterly. What is the purchase price of the GIC if…

A: Find purchase price of GIC

Q: 2. Determine whether each of the following series converges or diverges. 5n - 2n (2) Σ 3n+4n n=0 +∞o…

A: Given

Q: Given x - ³²+2y — In(y + 1), find the arc length for 0 ≤ y ≤4 8

A: The arc length of the curve x=f(y) for a≤y≤b is given by ∫ab1+dxdy2 dy

Q: 7. Use Disk Method to find the volume of the solid generated by revolving the R bounded by y =√x =…

A: Given that Region bounded by y=1x+1,x=0,y=4Revolving about x axisUsing washer/disk mathod…

Q: dy Find the complete solution of 2e-2 cosx- dx Note: fedu=e" + C - sin² x = 0.

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Q: xdy = (5y + x + 1)dx Ans: y

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Q: This answer is incorrect do you know why?

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Q: crowave oven is stands for the number of units produced. 100 000 C(x) = 0.002a³-0.06x² +120x+5000,…

A: Please refer to the image below

Q: Find the area of the region bounded by the curves y=x4 andy=2x-x²

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Q: By method of Integration by Partial Fractions, A B(2x-2) + C (x³+5x²+6)dx (x²–2x+5)² = √ [₁²-2² +…

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: etan 4s | (cos (cos 4s)2 ds

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Q: If z is a function of r and y implicitly defined by dz Əz find and dr ду at (x, y, z) = (0, 2, -1).…

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Q: THE AREA BOUNDED BY THE PARABOLA y² + x - 2y = 1, THE X-AXIS, AND THE REVOLVES ABOUT THE LINE LINE…

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Q: Function problem. Check that the following that is harmonic and determine is a harmonic conjugate. y…

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Q: A) Link between plane and line in the differentiation. 7) Find the aquations of alono pocinh the…

A: Link between line and plane.

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: We know that surface area generated when the given curve is revolved about the given axis…

Q: Q1: convert the Integral 1-X fydx to the polar coordinates.

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Q: Given: parametric curve H defined by r(t) = tan-¹t and y(t) = eªt, where t = R (a) Find the slope of…

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Q: dy Find the complete solution of 2e-2 cosx-sin²x = 0. dx Note: [e"du=e" + C

A: The given differential equation is 2e-2y cos x-dydx sin2x=0⇒dydx sin2x=2e-2y cos x⇒dy2e-2y= cos x…

Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

A: We have to find all values of k for which the given augmented matrix corresponds to a consistent…

Q: 3 S₁² √(√²-√²)³ at dt

A: Using substitution method, integration is solved.

Q: (b) f is concave down on (-∞, 1) and concave up on (1, ∞). (c) lim f(x) = -∞ and lim f(x) = ∞. x-1-…

A: As per the guidelines we can solve 3 parts only

Q: Convert the point with Cartesian coordinates 2 r and 0, with r> 0 and 0 ≤ 0 < 2π in radians. (r, 0)…

A: Topic = Geometry

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. 3x²+4-4 (a) lim x2x²x2 2…

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Q: f(x)-f(a) a. Use the definition mtan = lim x-a x-a b. Determine an equation of the tangent line at…

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Q: df Use integration to find f(1) when f(3) = 1000 and = 4(x+1)(x² + 2x)³. d x -24,272 -26,341 25,980…

A: Integrate on both sides of the given differential equation and find f(x) .

Q: In evaluating 2 dx x√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

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Q: Iff is continuous on [a,b], then (A) True B) False b b xf(x) dx = x f(x) dx a a

A: In this question, we want to know whether the given statement is true or false.

Q: R(t) = (2 ln|sec t], sin 2t, cos 2t) Find the distance travelled by a particle along the curve…

A: Let's find distance traveled by a particle.

Q: A runner is jogging at a constant speed of 3.5 miles per hour. a. Find the distance d that the…

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Q: A bucket that has a mass of 25 kg when filled with sand needs to be lifted to the top of a 20 meter…

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Q: 4 35₂ In evaluating 2 dx X√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A: We have to find the value of f(x) at x= 2.9.

Q: 2 ist dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding off, no Jo (x + 2)²…

A: Given,  ∫012x+22dx ,  n=4

Q: 1. Consider the function f(x) = x6 - x³. a. Determine the absolute extremum using the First…

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Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 0 1 0…

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Q: Find a particular solution of ds 1 dt =cos-t determined by s=3 when t == 2 3 wha

A: Given ,    dsdt=cos(t/2)

Q: The curve y = √x + 2 is revolved about the y-axis from x = 1 to x = 8, find the surfac area.

A: Here we have to find the surface area.

Q: Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric…

A: The parametric equation,x=t2-t and y=2t3-1123

Q: ds Find the complete solution of = 8t³ √√s. dt

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Q: Find the surface area if C = {(x, y): 1 ≤ x ≤ 2,y = about the x-axis.

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Q: Let f be a function which has an inverse and let f(-1) = 2. If Q is the surface of revolution…

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Q: 2. Verify using the principle of Superposition that y₁ = ²* and y₂ = e* are solutions of y" - 7y'…

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Q: If C = {(x, y): 1 ≤ x ≤ 2, y = ln(x + √x² − 1)}, find the length of the curve. -

A: C=x,y: 1≤x≤2, y=lnx+x2-1

Q: 2) Let f be continuous on [a, b], differentiable on (a, b) and positive (i.e., > 0) for all x ≤ (a,…

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Q: 205(1.31), where t is given in The population of a herd of deer is represented by the function A (t)…

A: Given,A(t)=205(1.31)t

Q: x² 1) Let f(x) (Figure 24). Verify the X 1 following: (a) f(0) is a local max and f(2) a local min.…

A: Since you have posted a question having multiple subpart part as per guidelines we can solve only…

Q: In evaluating 4 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=2.9…

A: Given