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Q: The root of e^x -2 is known to exist in (0,2). Find an approximate value of the root within a…

A: Given: fx = ex-2 The root exist  from 0,2. ------------------------------Aim: To find the root with…

Q: 4. Find the solution of the DE: (3x² + 6xy²)dx + (6x²y + 4y³)dy = 0.

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Q: Given f(x, y, z) = xyz, find fyxy

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Q: The fourteenth question: We suppose that {f: {1, 2, 3} → {a, b is a defined function as follows:…

A: We have to find the value of function.  Given data is -  f(1)=a  f(2)=b  f(3)=c  g(a)=5  g(b)=7

Q: Simplify the following expression [8t¹9 — 9t¹4 + 7t − (−6t¹9 + 77¹4 − 8t)] − [−8+¹9 − 10t¹4 + 7t +…

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Q: Let the position vector be R(t)=⟨3t,4cos(3t),4sin(3t)⟩. Compute the principal unit normal vector…

A: Given data:- The given position vector is, Rt=3t, 4cos3t, 4sin3t

Q: f(x) = Answer: 1-cos(4x) 1+cos(4x) 2 sec² (2x)

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Q: A. Find the second derivative of y=- (x+1)³ B. 4x x+1 (x+1)³ C. 8 (x+1)² D. (x+1)²

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: For y = f(x) = 3x³, find Ax, Ay, and Ax= Ay Ax 1 given x₁ = 2 and x₂ = 5.

A: To find the delta x and delta y and delta y/ delta x

Q: (a) y - y = 2te²t, y(0) = 1

A: As per our company guidelines, we are supposed to answer only the first question. Kindly repost…

Q: Which value of a is NOT in the domain of the function g(x) 7- 42 13x 30 ?

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Q: dw dt = x²y = xy³, x = cos(t), y = et Find: @t= 0, when w =

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Q: Use the graph of the function to find its domain and range. Write the domain and range in interval…

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Q: The unit tangent vector for the parametrized curver (t) = (8, cos 2t, 2 sin 2t) at 0 < t < 2n is

A: To find the unit tangent vector

Q: Let f(x)=2x+1, find f(a), f(h +a), the net change, and the average rate of change. I found…

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Q: Given f(x, y, z) = x²y³z − 3xy²z³ + 5x²z − y³z, find fxyz

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Q: Determine whether the improper integral converges and, if so, evaluate it.   ∞ 0 5x dx (3 + x2)2

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Q: A ladder 15 ft long leans against a vertical wall. If the lower end is being moved away from the…

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Q: Estimate f′(1)f′(1) where f(x)=x^3+1x^2−19x+4 to within one decimal place by using a small enough…

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Q: EXAMPLE 3 Suppose that a ball is dropped from the upper observation deck of a building, 350 m above…

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Q: y = 4-5x 4+5x

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Q: Find zr if z = xyev, x = rcos(t), y = rsin(t), when r = 2 and t Zr TU 6

A: We need to find out Zr.

Q: 11.) Consider the function f(t) = lnt. a.) Calculate the instantaneous rate of change of 1 the…

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Q: Qs Find the limits below ( a) lim(x,y)-(0,0) x2+y² 4xy²

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Q: Find z¸and zyif z = x² tan¯¹ (²) — y² tan¯ an-¹) y

A: We need to find zx and zy.

Q: 2) Consider the equation x² + y² = 100. Suppose that x and y are both functions of time t. Find…

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Q: Write the standard form of the equation of the circle with the given center and radius. Center…

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Q: 2) lim x→4 4x-x² 2-√√x

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Q: The distance (in feet) of an object from a point is given by s(t)=−5t^2+1where t is in seconds.…

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Q: Which derivative rule(s) were used to develop: "So rate of change of average cost is given by A'(x)…

A: Let's solve.

Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.) d…

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Q: Given U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15), A = {1, 4, 7, 10, 13), B = {1, 2, 3,…

A: topic - sets  we are given  U ={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} A={1,4,7,10,13}…

Q: 92-9 9² +6979 2 9²-29-3 9² + 29-3

A: a2-9a2+6a+9÷a2-2a-3a2+2a-3 Find the roots of all the expressions.

Q: Find all values of where the graph of f(x) = 2x³-39x² + 240x-5 has a horizontal tangent line.…

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Q: lim f(x) = ∞o 8118 Which of the parent functions exhibit the end behavior shown to the left? (note:…

A: graph of y=x;   y=x^2;   y=x^3;   y=1/x;

Q: Find an equation of the line that contains the given pair of points (13, 18), (0,5)

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Q: x² - 10x x-0 9x²-x (d) lim

A: Given query is to find the limit of the expression.

Q: 2x 2). 9 = (₁ x ² + ( ₂² ²³

A: we need to eliminate the arbitrary constants.

Q: Question eighteen: We suppose that {2,4,6,8} = A and {1,5,7,9} = B, and the relationship between…

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Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3 , f'(1) = 0 , and f'(2) = -1.

A: Let equation of the function be, f(x)=ax³+bx²+cx+d ...(i), a,b,c,d are constants.

Q: 15. dy dx = 3ex, y = 6 when x = 0

A: Topic = Differential equation As per guidelines , At a time only one question can be answered.…

Q: Sketch the graph of a function f for which f(0) = 0, f'(0) = 3, f'(1) = 0, and f'(2) = -1. y y -1 -1…

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Q: traveling? 66. A patient placed on a restricted diet is allowed 1300 calories per day with a…

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Q: Evaluate A. 30 S 7 dx -2 B. 35 C. 40 D. 45

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Q: If y = (5 + x5 +¹³, then y' is A. (5 + x² +¹³ (5x¹¹2) +3 B. (5 + x² + ²)² (5x+) c{(5+x+) (5x + a) D.…

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Q: 1.) Students from a mathematics class were asked if they were also currently taking the following…

A: a.

Q: Find the partial fraction decomposition for the following rational expression. 2y³ + 19y2 + 48y +63…

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Q: Shade a Venn diagram to represent (AUC) nB'. I C IV b Review shading Venn diagrams here. 01 O II III…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: If F(x) = 5x/(1+ x2), find F'(2) and use it to find an equation of the tangent line to the curve y =…

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Q: If f'(x) = e^x - 5x and f(1) = -12, then what does f(x) equal?

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