Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| = 7 u = (-2, 6, 4) V =

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Q: A country's census lists the population of the country as 238 million in 1990, 281 million in 2000,…

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Q: x2 - x- 6 Evaluate the lim *2 7x- x²-12 3/7 O does not exist O None of these O 2/5 O 417

A: topic - limits option none of these will be applied as 2/7 is not in the options

Q: Jdx/(1-2x) = 1/2 In1-2x + C %3D Select one: O True O False S(8x + 2x) dx = 2x4 +x² %3D Select one:…

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Q: The shaded region shown below is bounded by the functions f(x) = -3x2 + 8 and g(x) = 0.5x + 6 and…

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Q: Question x2+4 Using Partial Fraction Method, evaluate: S x(x+2)(3x-2) Your answer

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Q: Use the graph below to find exact values of the indicated derivatives, or state that they do not…

A: Topic:- function and application of derivatives

Q: 7. (D+ 3)'y = 15x'e-3* 8. (D- 4)'y 15x²e**. 9. D (D – 2)²y = 16e2 10. D2(D + 3)²y = 9e-3x 11. (D² –…

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Q: The shaded region shown below is bounded by the functions f (x) = -x2 + 0.5x + 10 and g(x) = -1.5x +…

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Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

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Q: xdx Evaluate (x²-2)5

A: We have to use rules of integration to solve the question

Q: Find, correct to three decimal places, the point on the curve y = 9 In x + e at which the tangent…

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Q: he sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

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

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A: topic - application of derivatives

Q: Find the limit. lim Vr+3

A: Question 1,Given,            limx→6x+3

Q: An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let θ…

A: I am attaching image so that you understand each and every step.

Q: Suppose the position of a particle is given by parametric equations x(t) = 2t2-1 and y(t) = 3t3. (a)…

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Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = Vx2 + y2 + z? (4,…

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Q: Prove that (y – æ)(y + 3x)³ = cx° is a solution to 3x2 – 2xy + 3y² )dx = 4xydy.

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Q: 2. 30e-3*(1+ e-3x)5dx

A: We need to evaluate integral.

Q: 5. Given the equation: (x + 2y – 4)dx + (2x – 4y)dy Solve the differential equation. Choose your…

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Q: Find, correct to three decimal places, the point on the curve y 9 In x + eX at which the tangent…

A: Find your answer below

Q: A student throws a ball upward from a height of 48 feet, initially at 32 ft/sec. The function that…

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

Q: Find the gradient of the function at the given point. w = x tan(y + z), (5, 13, –10) Vw(5, 13, -10)…

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Q: Using Integration by parts, evaluate: ſ xVx + 1dx Your answer

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: What is the magnitude of the vector cos 0 i + sin 0j+ 1? 01 O2

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Q: Consider the following. x = 4 sin(80), y = 4 cos(80), 0sos (a) Eliminate the parameter to find a…

A: Solution: x=4 sin (8θ)y=4 cos(8θ)  ,     0≤θ≤π4 Let 8θ =t  So,   0≤θ≤π4 multiplying by 80≤8θ≤8π4…

Q: %3D Find the maximum value of the function f(x) =x° - 9x2 + 15x - 5. Answer: Find the value of x for…

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Q: -Arctan + dx The integral of the given function S (x²+4)2 is Arctan + C 8(x²+4) 16 b. - Arctan- + а.…

A: Given:   ∫dxx2+42

Q: First of all, what is the difference between implicit and explicit? How does it apply to our…

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Q: For what values of x is the graph of y=xe-4x concave down

A: Given  that y=xe-4xSolution :if d2ydx2<0 then concave down.

Q: y-2+1 dy

A: ∫y-2+1dyLet u=y-2.=∫u+1duLet v=u+1=∫v· 2v-1dv=2·∫vv-1dv=2·∫ v32-vdv=2∫…

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In V x2 + y², (6,…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

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Q: Find a unit vector u in the direction of v = (2,-1,5) Ou-( 30 /30 1. u = 30 30 O None of these (4,1,…

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Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For orthogonal trajectory we replace dy/dy by -dx/dy

Q: A box is to be constructed from a piece of square cardboard whose perimeter is 36 inches by cutting…

A: maximum volume

Q: cos3 x+sin² x cos x dx 1-sin? x

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u · (v x w)| to determine…

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Q: The number of bacteria in a culture is increasing according to the law of exponential growth. The…

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Q: From the graph, determine the x- and y-intercepts and the vertical and horizontal asymptotes. (If an…

A: Explanation of the answer is as follows

Q: dx Assume that x= x(t) and y= y(t). Let y =x +4 and -5 when x= 1. dt dy Find when x= 1. dt

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Q: A rectangular lot having an area of 5000 sq. meters is to be fenced on three sides. Find the minimum…

A: topic - application of derivatives

Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 18 knots and ship…

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Q: 25x -9 – dx

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Q: Sdx/(1-2x) = 1/2 In[1-2x + C Select one: O True O False S(8x + 2x) dx = 2x4 +x2 Select one: O True O…

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Q: Given the following vectors, add the vectors and find the magnitude and angle of the resultant…

A: 4. Given, v=(5,9) u=(-5,-9) According to given, Resultant(R)=((5-5)²+(9-9)²)1/2 R=0 Angle is given…

Q: (b) If a > b and c > 0, then ac > bc.

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Q: Differentiate. f(x) = e 13x f'(x) = |

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