Find two unit vectors in 2-space that make an angle of 45° with 8i + 5j. NOTE: Enter the exact answers in terms of i,j and k. 1 (13 i + 3 j) V178 u = 1 (3 i + 13 j) V178 u =

Q: Consider the points A(3, – 1, 3), B(4, –3,0), C(-2, –2,0), and D(6, 3, –5). (a) Find the volume of t...

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Q: Describe all numbers e that are at a distance of from the number 7. Express this using absolute valu...

A: We know that the distance d between two numbers a and b equal the absolute value of their difference...

Q: Solve the problem in simplest form and complete solution. Find u and du if possible. coss 2x dx | si...

A: Given: I=∫cos52xsin22xdx  ...1   We know that; The Power rule: ∫xndx=∫xn+1n+1+C ; n≠-1  

Q: DO NOT include spaces in between characters. * Determine f'(2) if f(t) = log10 2t –1 Your answer

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Q: A Given yesin (ITX2)= InGe) XyZ of Find Zx and Zy.

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Q: 21,500 %3D C. The cost to maintain inventory for the weather balloons is given by C(x) = where x is ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Find two unit vectors in 2-space that make an angle of 45° with 10i +3, NOTE: Enter the exact answer...

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Q: What is the velocity vector? v(t) = ( Di+ ()i+ (1) k What is the acceleration vector? a(t) = () i+ (...

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Q: Pollution levels in a lake have been modeled by the equation x = 0.09 + 0.16e-0.38t where x is the v...

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Q: Find an angle 0 with 0° < 0< 360° that has the same: Sine function value as 250° degrees %3D Cosine ...

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Q: Set up the triple integral needed to compute the volume of the tetrahedron bounded by the plane 14z ...

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Q: iven the ODE, solve: x(x + 4)*dy + [y(x+ 4)* – 3x*y³]dx = 0

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Q: Find the point on the plane x − 2y + 3z = 6 that is closest to the point (4,2,0).

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Q: i-125 + 2i213 + 3i-314 5i97 – 4i85

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Q: If $P is invested for n years at 12% compounded continuously, the future value that results after n ...

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Q: Consider the following. f(x, y) 3e% sin(y) Find Vf(x, y). Vf(x, y) = %3D Determine Vf(x, y) at the p...

A: f(x,y)=3ex siny∇f= ∂f∂x i + ∂f∂y j∇f=3sinyddx(ex) i +3exddy(sin y) j∇f(x,y)=(3ex siny, 3excosy)at 0,...

Q: et –1 t2 – 3t + 5 lim t-0 t t2 – 1

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Q: Test I. Choose the correct answer from the given choices. If the answer cannot be found from any of ...

A: In multiple question wr are only allowed to answer the first question and in multiple sub part we ar...

Q: 9. An object moves with velocity given by v(t) = 2t3 such that s = 8 when t = 0. Find the equation o...

A: Given: vt=2t3 ; s0=8   We know that, The expression for the velocity; v=dstdt And The Power rule: ∫x...

Q: Write z, and z2 in polar form. 21 = -20, z2 = V3 +i Z1 = 22 = Find the product ząz2 and the quotient...

A: We have to write complex number in polar form

Q: 1 if x-1 4. lim x→- 1 5. x f(x) f(x)

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Q: f (x) %3D х* — Зх3 + 2x? +х — 1. 1.Know the function Find the Taylor polynomial for а = 2 and orde= ...

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Q: 3t² Determine f'(2) if f(t)=log10 2t – 1

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Q: Evaluate the integrals that converge 32 1 dx 2 ㅇ x5

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: A group of 13 workers decides to send a delegation of 3 to their supervisor to discuss their grievan...

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Q: 25. If n + 0, then cot x csc" x dx = - cot" x А. - csc" x В. cscn+1x +C +C - cotn+1 x D. +C С. n +C ...

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Q: y? = 8x, y = 2x; about y = 4.

A: Given that y2=8x,y=2x about y=4 . Here we have to find the volume of the solid generated by revolvin...

Q: Consider the points A(3, -3, 5), B(5, –5, 2), C(-1, –4, 2), and О(4, 1, -8). a) Find the volume of t...

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Q: Consider the following. f(x) = 3x – 6 cos(x), -2 sxs0 Use technology to estimate the absolute maximu...

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Q: The population of a herd of deer is represented by the function A(t)=180(1.21)t, where t is given in...

A: Solved below

Q: 6. Find the minimum surface area of a box that holds 2 cubic meters.

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Q: Find f'(x) and f"(x) of f(x) = 11x³.

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Q: The slope of the tangent line to the curve y 2x at the point (- 5, - 250) is: The equation of this t...

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Q: DO NOT include spaces in between 17 characters. * Compute m d (In (In y)) at y=e. dy Your answer

A: The objective is to compute the derivative at y=e.

Q: Suppose X and Y are random variables with joint density function. So.1e-(0.5x+0.2y) if x 2 0, y 2 0 ...

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Q: Find the indicated power using De Moivre's Theorem. (Express your fully simplified answer in the for...

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Q: Select ALL possible answers if there is more than one. * 1 16 Let f(x) =- ifx<- 2 . If f(x) is conti...

A: Let's find. 

Q: 11. An object moves along the x-axis so that at any time t2 0, its velocity is given by v(t) = 4 – 3...

A: Find your answer below 

Q: b. Write the quadratic function for the parabola that has vertex (-3, 2) and passes through (1, 4).

A: Given query is to find the equation of the Indicated parabola.

Q: the

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Q: Find the area of the triangle with vertices P(1,4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exac...

A: Given P1,4,-2, Q0,0,0 &amp; R4,5,1 To find Area of triangle PQR

Q: 3. Let ø(x) be a solution to the initial value problem: y" + 2y' + 5y = 0; y(0) = 0, y'(0) = 4. Let ...

A: We need to find ratio of solution of D.E.

Q: Evaluate the following integral. | e2%cos3x dx

A: LetI=∫ e2xcos3xdxApply integration by partI=e2x∫cos3xdx-∫ddxe2x∫cos3xdxdxI=e2xsin(3x)ddx(3x)-∫e2xddx...

Q: 3. y = at point (0, -) X-3

A: Topic = Derivative

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given ...

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Q: 5. Simpson's and Trapezium rules 1. A car's speed is recorded at 10 second intervals. The following ...

A: We need to use Simpson's rule to find distance.

Q: - tan²(x) sec5 (x)

A: Given query is to find the value of the integral.

Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exa...

A: We can find the area as below.