Find the coordinates of the point P on the line and a vector v parallel to the line. x = 2t, y = 6 – t, z = 9 + 8t P(x, y, z) = V =

Q: the interval [a, b], where c; is any point in the ith s Interval [-3, 3]

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Q: [8] Rewrite the following statement less formally, without using variables: There is an integer n su...

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Q: / Determinel the Component of the Vector at each Point (州,) {0r0),(40), (-り),(り, (ー4) ニ (yーリー,12サ,(y...

A: Explanation of the answer is as follows

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Q: S ** dx : Evaluate the integral using the following values. 9. 9. dx = 4 6 х dx %3D 320, х dx %3D 16...

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Q: Consider the given function and the given interval. f(x) = 5/x, [0, 4] (a) Find the average value fa...

A: The objective is to solve the above question.

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Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: Problem 2. A manufacturing company developed a mathematical model to predict its expenses as a funct...

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A: Given query is to find inflection points.

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A: This is a problem related to vector. Based on the general formula vector we will solve the question.

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Q: if x s -5 x – 3x-2 if x>-5 2x² + 1 Find the lim f(x) where f(x) = O -80 O None of these O -128/25 O ...

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Q: Evaluate the indicated integrals if b is a positive real number constant. A. ftan () dx B. dx C. sec...

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Q: Find a polynomial of degree 3 that has a maximum at the point (0,7) and a minimum at the point (2,−3...

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Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their val...

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Q: Plot each of the given complex numbers in an Argand diagram and label all the necessary parts. Also,...

A: Since there are multiple questions the first question is answered as per our guidelines. Kindly repo...

Q: 16 – x? Evaluate lim x--4 x+ -8 does not exist O None of these

A: topic - limits

Q: to find Volume & Surface Area of a Cylinder?

A: answer of given question is in step 2

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A: Given query is to find series converges or diverges

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

A: Volume of parallelepiped

Q: evaluate the function at the given point. f(x,y)=x2+y2, D={(x,y):0<=x<=1, 0<=y<=1}

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Q: find the range of the function f(x,y) given the function and domain. f(x,y)=x/y, D={(x,y): 0x}

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Q: Find the formula for the nth term of the arithmetic sequence. a1 = 11, d =

A: Given query is to find the formula for nth term.

Q: 4. If g(t) = et +e-i' then g'(t) is which of the following? 2et + 4e2t (A) e2t + 2+ e=2t 2et + 4e2t ...

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Q: Sketch the curve f(x,y) = c together with Vf and the tangent line at the given point. Then write an ...

A: Solution is here

Q: Let h(x) = /(t)dt, where f is the function whoseaph is shown. 1 4 6. -1 -2 A. Evaluate h(5) E. Evalu...

A: Given query is to find the Indicated values from the graph.

Q: Find if y = arctan(e2*). dx dy 2e 2x dy e 2x dx 1+e 4x dx 1+e4x O Option 3 Option 4 dy dy 2e 2x V1-e...

A: Topic = Derivative

Q: 2. Determine f'(-1) for the function f(æ) = (x" – 2r° + 1)(x³ + æ -- 2). 8 (B) 12 (C) 14 (D) -4 (E) ...

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Q: fm and n are odd integers, then so is m · n.

A: Given query is to find statement true or false.

Q: dy + xdx + 2ydx = 0

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Q: 6. The number y of bacteria in a colony grows according to the differential equation Which of the fo...

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Q: III. Show that the function is continuous on the specified interval. 11. f (x) = V3x – 5; [3,9]

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Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

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Q: If the infinite curve y = e-*, x > 0, is rotated about the x-axis, find the area of the resulting su...

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Q: Consider the parallelepiped with adjacent edges u = 5i + 7j + k v = i+j+7k w = i+ 8j + 7k Find the v...

A: Volume of the parallelepiped is 238 cubic units. 

Q: he points A(1,-2,4) and B(2,-4,1) cach make direction vectors with the point (Xo.Yo, Zo). The point ...

A: The Parametric equations of the line are the components of the vector equation , and have the form  ...

Q: 6. Given f(x) =x° and g(x) = x, sketch h(x) = f(g(x)).

A: As you mention question no. 6 solved

Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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Q: II. Evaluate the following limits. 1. lim sin x X→- 2

A: To find out the limit. 

Q: Suppose f is a continuous function where f(7) = 9 and f'(7) = 6 . The tangent line to the graph of y...

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Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3) ...

Q: Find the particular solution of the differential equation that satisfies the initial condition. f'(x...

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

Q: A cold drink initially at 38°F warms up to 42°F in 2 min while sitting in a room of temperature 69°F...

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Q: Determine whether the planes are parallel, orthogonal, or neither. 9x – 8y + z = 6 x + 2y + 7z = 1 O...

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Q: In 1980, the population of alligators in a particular region was estimated to be 1300. In 2005, the ...

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Q: Use any method to find the relative extrema of the function f (x) = x +11r – 9. If there is no relat...

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