Find the unit vector ey, where v = (9,0,7). (Give your answer using component form. Express numbers in exact form. Use symb

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Q: 4. Lim log1/2 x x-2 sin 2x 5. Lim

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Q: ja2x* +x-a))dx = 24, 3. If find the value of a constant.

A: Here, given that: ∫026(2x2+x-a)dx=24⇒∫02(2x2+x-a)dx=246⇒∫02(2x2+x-a)dx=4...(1)

Q: Let   u=4i−j​, v=4i+j​, w=i+5j

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Q: 3. Find the Laplace transform of the piecewise function 0st<1 1 S(t) = 1st<2 3 -t 2<t< 3 t23

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Q: This question has two parts. You may open the second part after you submit correct answers to the fi...

A: Given query is to apply ratio test.  

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Q: Find dy/dx implicitly and find the largest interval of the form -a < y < a or 0 < y < a such that y ...

A: follow the procedure given below.

Q: '5 7 Given f(x) dx : = 12 and f(x) dx = 4, evaluate %D 7. (a) f(x) dx. 0. (b) / f(x) dx. '5 (c) f(x)...

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Q: COLUMN A COLUMN B /G-미) dx--4lnlxl + C S dx = S(3vx+) dx = (x + 3) + C dx = A. 4x В. 4* 6 +C С. 4 D....

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Q: A/2 15 10 r=7+7 cos 0 -5 5 5 10 15 - 10 15

A: The graph of the curve is given by To evaluate: The area of the shaded region.

Q: Consider the following alternating series. E(-1)* 4k + 1 k=1 00 a) An alternating series can be writ...

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Q: Let a = ci + j and b = 8i + 6j. Find c so that the angle between a and b is Round your answers to fo...

A: Topic = Vectors

Q: (x +1)" 2" (n+1)

A:                                                                                        

Q: Solve the following initial value problem. = - 4cos(2t + x), s'(0) = 300, s(0) = 0 dt? (Type an exac...

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Q: Find a function f(x, y, z) such that Vf is the constant vector (3,2, 8). (Use symbolic notation and ...

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Q: Obtain the general solution. (x2 – xy + y²)dx– (xv)dv = 0 O x(2 - 1)e\/x -č O y - 1)e×/Y = C OC- xly...

A: Given the differential equation is x2-xy+y2 dx - xy dy = 0

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Q: Compute the directional derivative in the direction of v at the given point. f(x, y) = exy=y, v = (1...

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Q: Evaluate the integral using the following values. '3 '3 x3 dx = 20, х dx %3D 4, dx = 2 1 '1 x dx 13

A: We can find the answer as below.

Q: Describe in words the region of IR^3 represented by the equations or inequalities. y^2 + z^2 = 16

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Q: Please answer the question below: Suppose p > 0. What is the relationship between i da and fo dx? =D...

A: This is a problem related to integration. Based on the general formula of the integration we will an...

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Q: A man 6 feet tall walks at a rate of 5 feet per second away from a light that is 15 feet above the g...

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Q: Eval the Pt: dx

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Q: The variable point (t²,t+1) lies on a parabola. (i) Sketch the parabola for -2 <t<2.

A: See the answer below

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Q: 3) = + sin (4) r = y(In y- In r+1)

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Q: Consdeu the fanction whose cntevion is ax +b si x 3 The requved values for a and b for the

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Q: Find a function f(x, y, z) such that Vf is the constant vector (4, 8, 2). (Use symbolic notation and...

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Q: Considering the following alternating series. E(-1)*+1 V7k + 6 k=1 a) An alternating series can be w...

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Q: Two vertical poles, one 8 ft high and the other 16 ft high, stand 18 feet apart on a flat field. A w...

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x² – y²), (-...

A: Explained below 

Q: Q5.Find a vector parallel to the line of the intersection of the planes 2x + y – 2z = 5 and. N, = 2î...

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Q: Find the critical numbers of the function. f(x) = x5 - 5x4 Step 1 To find the critical numbers of f,...

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Q: Use Newton's method to attempt to find a solution for the following equation by starting with a valu...

A: In this question we have to find the root of equation with Newton method.

Q: Evaluate the integral. 8. dx 2

A: dxndx = n.xn-1 . ∫un du = un+1n+1+C

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer ...

A: Given two lines, x=2-t, y=3+3t, z=4+3tAnd x=5t, y=1-15t, z=4-15tThat isx-2-1=y-33=z-43=t            ...

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Q: The minimum hourly wage was P50 in 1960 and P257.50 in 2000. What is the average annual inflation ra...

A: Here we have to find the average annual inflation rate in the minimum wage.

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Q: If xy² – y3 = 5, find y'. y' =

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Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (1, ...

A: We have to find the distance between the point 1, 6, 5 and the plane x-y+2z=8.

Q: Find gof. f(x) =x², g(x)=x- 4 († +zx) O

A: Find gof

Q: Determine the value of the arbitrary constant of the antriderivative of F(x) =x<In(x) given the init...

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Q: Solve the initial value problem. ds 12t(31 - 1)°, s(1) =7 dt The solution is s = S.

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Q: 11) This is a function written in vertex form. F(x) = 2(x- 3)² + 4. %3D Describe the number of units...

A: As per the company guidelines We can first question only. Please understand. Kindly repost the quest...

Q: Evaluate the integral. P(p + 6)°dp P(p + 6)°dp =

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