u⃗=5i⃗−j⃗− k; v⃗=−i⃗+5j⃗+8k.  Find the projection of u ⃗ onto v :⃗

Q: Find the equation of the upward asymptote of the hyperbola whose equation is (x - 2)² (y+4)² 9 16 =…

A: Given equation of hyperbola (x-2)29-(y+4)216=1That is (x-2)232-(y-(-4))242=1copare with…

Q: dy Find ck by implicit differentiation. √x+ y + √xy =4

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Q: At how many points do the curves r₁(t) = ((t + 1)², — t² − 2t, t+2) and r₂(t) = (1 – t², t, t) -…

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Q: w = sqrt(25 - 4x2- 4y2),  x=r cos(theta),  y=r sin(theta) (a) Find del w / del r and del w / del ?…

A: If w=f(x,y) ; x=g(r,θ) and y=hr,θ then           ∂w∂r =∂w∂x.∂x∂r+∂w∂y.∂y∂rand…

Q: Which of the following functions has an amplitude of 4 and a phase shift of 4 f (x)=4cos 2x- (2x-4)-…

A: Solution

Q: e) x - 4y= 26er r

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Q: The current population of a small town is 2848 people. It is believed that town's population is…

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Q: D Question 1 Find the domain of the vector-valued function given below. r(t)=√√√25-7i+ O [0, 5] 0…

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Q: Find (i) the net area and (ii) the area of the region above the x-axis bounded by y = 36-x². Graph…

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Q: 2. Find the first derivative given that f(x)=x√√x + 1 x²√x

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Q: Integrate fx Sx O cos(4x) dx (sin(4x) - x sin(4x)) + C cos(4x) + 4x sin(4x) + С (4x sin(4x) +…

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Q: 1. Given f(x) = x² + 7x + 12 and g(x)=x²-9 Find (f+g)(x), (f-g)(x). (f g)(x), and ()(x). 2. Given…

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Q: 3.745 O 7.491 Question 13 Find a at time t = 2 for the space curve r(t) = (8t − 7 )i+t²j− 10tk.…

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Q: Consider the function f (x) = x³ -12x^2 + 36x = x (x-6)^2 to answer the following questions.   1.…

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Q: Consider the following. w = x - ¹₁ x = e³t, y = t³ (a) Find dw/dt by using the appropriate Chain…

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Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

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Q: d.) s 2x+3 x243x-1 dx

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Q: 6x − 3y + 2)dx − (2x − y − 1)dy = 0

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Q: 6. Use the definition of Maclaurin series to find the first four nonzero terms of the Maclaurin…

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Q: Estimate Ay using differentials. .1/3 y = x¹/3 e³x-1, a = 1, dx = 0.1 -

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Q: Evaluate the integral [x x cos x dx

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Q: 5. Solve for x² − x+6 x³ + 3x 1³ dx.

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Q: Find the general solution, y(t), which solves the problem below, by the method of integrating…

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Q: a) [ Evaluate the integral 4x - 1 (x + 2)(2x - 1) S -dx.

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Q: Use partial fractions to find the integral. S 4-x 2x²+x-1 Step 1 Rewrite the polynomial as 2x² + x1…

A: topic- indefinite integral

Q: 1. Find the Taylor polynomial p3 centered at a = 7/3 for f(x) = = COS I.

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

A: Find critical points by putting derivative of f  equal to zero

Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y - 4xyz + 6yz²…

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Q: Find z = f(x, y) and use the total differential to approximate the quantity. (1.96)2(8.98) 2² (9)

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Q: yey dx = (y² + 2x e¹) dy

A: The given differential equation,     yeydx=y3+2xeydy

Q: Choose the normal vector of the tangent plane to the surface defined by Z = e6x²+14xy-5y² at the…

A: To find: The normal vector of the tangent plane to the surface at the given point. Given…

Q: Find and simplify the function values. f(x, y, z)=√x+y+z

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Q: Question 2 i 1: a)' Solve the following linear system in detailed, by using Gauss-Jordan…

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Q: Find the curvature K of the curve given below. r(t) = ti+8t²j+2tk

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Q: 2. Prove that f(x) = |x + 1] 1| (−1,0) tangent line at has no

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Use the half-angle identities to evaluate exactly. sin 112.5° sin 112.5° = (Simplify your answer.…

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Q: Evaluate fx and fy at the given point. 5xy f(x, y) = (1, 1) 6x² + 3y²' fx(1, 1) fy(1, 1) = (No…

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Q: Consider the function on the interval (0, 2). f(x) = 2x + 4 sin(x) (a) Find the open intervals on…

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Q: At what point on the curve x = t³, y = 6t, z = t4 is the normal plane parallel to the plane 6x + 12y…

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Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

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Q: 1. Find for 2³-y³+r²y = 10

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Q: Find the solution of the differential equation that satisfies the given initial condition. dp dt 7√…

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Q: Find both first partial derivatives. z = exy дz ax əz ду = (No Response) (No Response)

A: The given function, z=exy

Q: Let g(u) be a function such that f g(u) du = ln (1 + 8u²) + C. Evaluate fxg(x²) dx.

A: This question can be solved using the concept of integration by substitution and definite integrals.

Q: Let D be the planar region bounded by y = 0, y = x², and x = 1. The integral ff cos(z² + y²) dA…

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Q: A spring requires 7 J to stretch from 1m to 4 m. An additional 4 J to stretch for 4 m to 7 m. What…

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Q: Solve, finding all solutions in [0,2) or [0°,360°). 18 cos²x = 9 The solution(s) in [0°,360°) is/are…

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Q: If f is differentiable and ƒ'(x)=x³− 2x² − x+2, then f is increasing on Selected Answers: [None…

A: In this question we have to find interval in which function is increasing.

Q: and & and ß are between 0 and f/2. 3

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Q: (x³ + xy² + y)dx + (y³+x²y + x)dy = 0

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