Given the vectors = (-3, -2) and = (5, -7), find 4u - 2V.

Q: Evaluate the integral. Check your result by differentiation. (Remember the constant of integration.…

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Q: A conical water tank with vertex down has a radius of 15 feet at the top and is 22 feet high. If…

A: Given that , r=15 feeth=22 feetdVdt=20 ft3/min When h=17 feet find dhdt=?

Q: ∞ Σ n=1 (−1)n n-1

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Q: 2x + 2x = sin(1) Tmifinl Triicl conditione int m

A: To solve the differential equation using Laplace transform: Using Laplace inverse formula…

Q: Q1 find the domain and range of the following functions y= 1 + x V1-2x

A: According to bartleby guidelines we supposed to do the first one of multiple questionskindly repost…

Q: For the probability density function (pdf) {1.2(2². (2-3x+x²) 0.9 0.8 0.7 0.6 0.5 0.4 0.3 0.2 0.1 O…

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Q: Match each radical expression to an equivalent expression. The expressions are not necessarily in…

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Q: For the cost function C'(x) = 7950 + 730x +1.5x² and the demand function p(x) = 2190, find the…

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Q: Find the curl of the vector field F. F=x²yzi+xy²zj+xyz¹k curl F = (i+Di+k

A: Given query is to the curl of F

Q: Q4: If y2 + x² = 2 then! dx² at (-1,1) is: A) B)= 3 C) 2 then Lim D) -2 f(x)-f(3)

A: To find the double derivative of the function at the given point.

Q: dx Q5: If the line 4x + 2y = 5 is tangent to the graph of y = f(x) at x = 3, then Lim f(x)-f(3) x-3…

A: given line 4x+2y=5 is tangent to y=f(x) at x=3

Q: 5. Find the particular solution of the differential equation y'- 3xe = e³ that satisfies the initial…

A: Given differential equation y' - 3xey = ey

Q: Write a function with vertical asymptotes x = -2, x = 3, x = 0 and a hole at x = 1

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Q: A particle moves according to the position function s(t) = e2t sin (7t). Enclose arguments of…

A: Given :st=e2tsin7t

Q: Let B = {(0, 1, 1), (1, 1, 0), (1, 0, 1)} and B' = {(1, 0, 0), (0, 1, 0), (0, 0, 1)} be bases for…

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Q: Determine where the graph of the func ownward. Find any point of inflection. f(x) = -x² + 3x + 4

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

Q: 13. Find the area of the shaded region. 3 2 0 5

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Q: pls solve the inverse laplace transform of this function. you can use the table of laplace…

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Q: Show a representation of f(x) = cos(x) using the sum of it taylor series at the center

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Q: ). 3 9 S³ S² x ² ey³ dy dx 3 0 X²

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Q: QUESTION 6 Find Cc (mm) for a circular pipe with thicknes 1 mm and outer diameter given as 22 mm.…

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Q: Consider the following demand function with a constant slope. Let Q(p) describe the quantity…

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Q: J. The edge of a cube is growing at a rate of 6 inches per second at the instant when the edge of…

A: Let side of the cube is denoted by a Given dadt = +6insec

Q: please answer both

A: As per our guidelines, we can answer only one question in a single request. Since first question has…

Q: Find the general solution to the given equation -22-5y=0

A: To find the general solution of given differential equation

Q: Let f(x) = 3x²10x25 2x² + 3x 20 - This function has: 1) Ay intercept at the point 2) x intercepts at…

A: To find intercepts and asymptotes for the given function

Q: Match the function with its power. f(x) = 3x² - 4+5x¹ f(x) = 3x √x + 5 f(x) = 6-x² :: Power: 1/2 ::…

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Q: Let f(x) = 2x² f'(x) = - T. The derivative function Select one: O x ² 2 O 3x² O 3x²2² O 3x² O None…

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Q: Write the equation 7-5% = 9 in logarithmic form. O 7=logg (-5y) O-5y = logg7 - 5y = log79

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Q: (b) Identify the curve by finding a Cartesian equation for the curve. r = 2 sin 0 + cos 0

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Q: 2. Suppose that f(x) = ((x² + x·5).5+5)5 when x ≥ 0. Find df (x)/dx. df dre = -5 ((x²+x²)² + x^²)=²*…

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Q: Q1: f(x): x-2 x²-x-2 has a .at x=-1: A)Hole ************ B)Jump C)Vertical asymptote D)Continuity

A: Topic = Functions Correct Answer for Q 1 C) Vertical asymptote

Q: Calculate Sc F. dr, where F(x, y) = (x² + y, 9x - y) and C is the positively oriented boundary curve…

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Q: 6. Find the general solution of the differential equation given below y' = ex-y 2ex-ey, y(0) = 0

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Q: Match equation question type with a graph (Z - A)² I-B Vy= y = (1 − B)² (z − A)² (z − B)² I-B a. b.…

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Q: If f'(x) 0 on an interval I, then ___ Select one: O f(x) is increasing and concave upward or I. O…

A: Given that for a function f(x):-     If f'(x)<0. And f''(x)>0.  On an interval I ,  Then we…

Q: i woukd like a more readable solution please

A: We need to compute dwdt ifw=ln4xyz2-cos2yz-3,x=logt,y=4et2,z=sint3-1

Q: Question 3 The appropriate Fourier transform to solve (a² + m²) a²u - Du -∞0 u(x,0)=ex, -∞<x<* o O…

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Q: (a) Sketch a graph of a function f such that: of' 0 and f" > 0, for x > 3. (b) Does the graph of…

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Q: 1. Suppose that y is defined implicitly as a function of r by the following equation: 3y² + 2xy +² =…

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Q: √4-x S₁ S x ²² x ² (1-x² - y²) d y dx x

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Q: Find the vertex form of the function. Then find each of the following. ​(A) Intercepts    ​(B)…

A: Given query is to find characteristics of the function.

Q: Evaluate fx² cosx dx (You can use the short cut method)

A: To evaluate the following integral.∫x2 cos x dx

Q: Find ƒ′ (x) if ƒ (x) = ln (sec³ (x² − 1)). ○ 4x³ cos³ (x - 1) ○ 12x³ cos (x² − 1) Ⓒ12x³ tan(x - 1) 3…

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Q: Based on the Taylor series in image... Determine the Taylor polynomial Pn(x) with n=3 and a=2 for…

A: Consider a function f that has a power series representation at x=a.

Q: scientist begins with 525 mg of a radioactive substance. After 3 hours, the sample has

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Q: Consider g(x)= x+4x²-20-40 x²-18-6 a) Factor the expression. Identify any removable discontinuities…

A: Given that, gx=x3+4x2-20x-48x2-x-6We need to factor the expression.…

Q: Find f(t) = L-¹{F(s)}. F(s) In s² + 1 +4

A: Given:  Fs=lns2+1s2+4 To Find:  ft=L-1Fs

Q: (c) √ z²dx-zdy+2ydz; C: the line segments from (0,0,0) to (0,1,1), from (0,1,1) to 77 (1,2,3), and…

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Q: 3. Find the area of the shaded region. f(x)=√x+1 f(x) = 1 -x-1 8

A: To find the area of shaded region