What is the magnitude and direction of the resultant? 10 4. 10 diagram 4

Q: Explain why each of the following integrals is improper. (a) dx (x - 9)3 O since y=- - has a vertica...

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Q: Determine the Convergence Interval of the following series! (x – 3)" n² n=1

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Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the ...

A: We have to find absolute value of gradient at x=2 for the given function.

Q: The contours of f are a sheet faling off to zero not defined parabolas lines

A: Here is the image of the graph in the 3d. Blue is z axis.

Q: Question Evaluate the integral below. dx

A: Given that: ∫x7e3x4dx

Q: [tan*dog a) * dx x) x(1+log?: tan (log x) 8. 2

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Q: Question 1 A function F is an antiderivative of the function f on an interval I if for all x E1. A F...

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Q: D Find a singular saluhion of DE: %3D

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Q: 7/4 26. * sec*e tan 0 de sec*0 tan*o de

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Q: Solve the homogeneous system of equation а — 3Ь + 7е%3D 0 - с — 2е — 0 d — 10е — 0

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Q: The cost of certain piece of machinery is $ 700 and its value is depreciating with time according to...

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Q: write the given expression in the form of a^2 - u2: 15 + 2t - t^2 is equal to. SUBMIT YOUR SOLUTION ...

A: Given: 15+2t-t2 To write in the form:  a2-u2 15+2t-t2 = -t2-2t-15

Q: given

A: We will solve the integration. 

Q: Find the area of the shaded region. y = V 1X1, 1) x = 27 10 15 20 25

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Q: Sequences: A sequence is of the form а1, а2, аз, а4, ... where the an are real numbers. Technically,...

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Q: Evaluate the following limit using L'Hospital's rule. :- e13z lim 5x2 – 11x + 8

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Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan (y/x)]d...

A: This question is related to differential equation.

Q: cosx+2sin x)ʻ dx sin x

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Q: Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2) = 31.

A: This question is related to function and their derivatives.

Q: Determine whether the following is always true or not always true. Given reasons for your answers. J...

A: let Vector  u=u1,u2,u3  v=v1,v2,v3  w=w1,w2,w3 

Q: A. Evaluate each of the following indefinite integral: 13 1.

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Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

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Q: cof), 5T Cos What is the exact value of 4

A: Find the exact value of cos(-5π/4)

Q: Find the area under the graph of the function f(x)= 7sin(x) bounded by the x-axis and the lines x=0 ...

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Q: Suppose 1000 people enter a chess tournament. Use a rooted tree model of the tournament to determine...

A: Let a1, a2, a3, a4, a5,....................................a1000 are the participant. As per rooted ...

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: Evaluate the integration by part

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Q: Find the equation of family of lines whose sum of intercepts is equal to 5.  Show solution and grap...

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Q: Find the exact value of each exp V3 sin 2 Si

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Q: The curve C is the portion of the graph of y = 16* for 0 <z < 2 (distances measured in m). The curve...

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Q: n! %3D an 2n

A: We have to check weather the given sequence is increasing, decreasing and neither in nature.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given point...

A: Given: ysin16x=xcos2y Equation of a tangent at point a,b with slope m is defined as  y-b=mx-a

Q: State the name of the property illustrated below. 4. /8 = /8 •4 Choose the correct answer below. Ass...

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Q: Suppose 16 1 4 a4 = 1 4 a1 a2 аз a5 1 6. 2 3 5 6. a) Find an explicit formula for an: b) Determine w...

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Q: Зх — бу — 2z %3D 1 2х — 4у + z %3D 17

A: We can use an augmented matrix to solve the given non-homogeneous system of equations.

Q: rectangular parallelepiped with an altitude of 10 cm have its width decreasing by 2 cm/min and lengt...

A: Topic:- application of derivatives

Q: 8.Detormire the maximom num bec of Furning poinds Of .

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Q: An airplane moves in the northwesterly at 125 mi/hr relative to ground, due to the fact there is a w...

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Q: How do you find the assign units for constant of proportionality? For example the allometric relatio...

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Q: f y=x^5, then y’=

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: (a) Find the area of the triangle with adjacent sides representing the vectors 2i – j + 3k, and i+ 2...

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Q: Show that In x lim x→1 x – 1 1.

A: To prove: limx→1 ln xx-1 =1 limx→1 ln xx-1 =00 form L'Hospital's Rule tells us that if we have an in...

Q: Proof 2: 14 sin x dx tan xdx = /6 COs x 1 -= sec x dv = sin xdx cos x du = sec x tan xdx v =-cos x 1...

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Q: Evaluate the integral. 25 In y 16

A: Given that: ∫1625lnyydy

Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x + ...

A: Given that: (a)y=3x2+cos(3x)(b)y=e4x+(x+1)4

Q: C. Assessment/Application/Outputs (Please refer to DepEd Order No. 31, s. 2020) Direction: Solve the...

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Q: xdx 2. 3-x

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Q: 1. Find the limit of the following: ** - 11х* +37х* +6х' - 297х +621x - 405 x* - 11x* +47х* -114х* +...

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Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: 23T Does the angle 45 have a compliment? If so, what is its compliment. If not, explain why. Show al...

A: We can find the complement as below.