Find the limit lim x →∞ (e-x^2)

Q: In our practical life, related rates are used in many areas including the medical field to measure…

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Q: Consider the equation y" — 49y = 7 cos(7t) +7+et. According to the method of Undetermined…

A: The given differential equation is: y''-49y=7cos(7t)+7+e7t

Q: Find the first derivative of y= -5sin(4x^2+10)

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Q: 2) Suppose a tennis ball is thrown upward from a tennis court that is 30 feet above ground (the…

A: Given position function:- st=-16t2+48t+30 We know Average rate of change of function fx in interval…

Q: Show that the hyperbolic spiral r = 1/θ (θ> 0) has a horizontal asymptote at y = 1byshowing that…

A: Given curve  r=1θ    θ>0

Q: Part 1. Determine whether the argument is an example of inductive reasoning (IR) or deductive…

A: In Deductive Reasoning, the argument believes that the truth of premises establishes the truth of…

Q: Find y' by (a) applying the Product Rule and (b) multiplying the factors to produce a sum of simpler…

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Q: Evaluate the integral: 0x = X = (A) Which trig substitution is correct for this integral? 9 tan (0)…

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

Q: If f(x) = 3x² - 7x + 6, find f'(-4). Use this to find the equation of the tangent line to the…

A: Given function:- fx=3x2-7x+6

Q: xviss=hy! wh puy in

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Q: Find the gradient of the line segment between the points (-4,-5) and (2,-4) . Give your answer in…

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Q: 25-28 Binomial Theorem Use the Binomial Theorem to expand the expression. -25. (x + 2y)4 (₁ + ²)² 1…

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Q: = [5, −3, 7] and @` = [−1, 6, 2] For p = a) Determine px q`. b) Show your work to confirm that pxis…

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Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

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Q: 5. 0 = hp.- xp(n+h x) s

A: see below the answer and calculation

Q: Express the plane z = x in cylindrical and spherical coordinates.

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Q: 2. Find the standard form equation of the parabola with vertex at (0, 0) and focus at (0, -7).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: f(x)=4x7^x f′(x)= f′(−2)=

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Q: Simplify. -2 fq f-q q The simplified expression is

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Q: O d. O e. K 2 48 2+ 43.5 9 -12 -9 -6 -3 4.5 4.5 19 13.5 48 /y=f(x) 3 to y=f(x) 66 12

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Q: 2) 1 – xу = x — у -

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Q: a. у 2 1 0 y = /4 - x X

A: The area between the curves y=4-x, y=1, x=0

Q: Use the definition to calculate the derivative of the following function. Then find the values of…

A: Given that p(θ)=11θ

Q: Find the equation of the tangent line to the graph of f(x)=6xln(x+9) at x=3 Answer: y =

A: The given equation is; f(x)=6xln(x+9)  at x=3

Q: Consider the two equations y = 2x + 1 and y = x² - 4x + 9. A. Without computing any sample xy-pairs…

A: Given 1. y=2x+1 2. y=x2-4x+9

Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…

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Q: Write the differential dw in terms of the differentials of the independent variables. 3y + z x+u…

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Q: Find the inverse transform of the given function of s. F(s) A f(t)=354-736- 11 B -45²-6 s+4Xs+6XS-7)…

A: A detailed solution is given below.

Q: II. IDENTIFICATION. CIRLE 1. What is the center and radius of the equation x² + y² = 36? 2. What is…

A: We know that the standard equation of a circle is: (x-h)2+(y-k)2=r2 where (h,k) is center and r is…

Q: Find an equation for the tangent to the curve at the given point. Then sketch the curve and the…

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Q: 10. What's the standard form of the equation of the following hyperbola? 6 5+ 4 3+ 2+ -6-5-4-3-2-1…

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Q: A container of hot liquid is placed in a freezer that is kept at a constant temperature of 25°F. The…

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Q: The population of a town can be modelled by the exponential equation P(n) = 12000(1.02)n-2015, where…

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Q: Q-2: a) Find the set of solutions of each of the linear congruence: i. x = 3 (mod 5). 5 (mod 9). ii.…

A: The solution is given below

Q: When I solve a quadratic equation by completing the square, doesn’t this result in a new equation?…

A: The four ways of solving a quadratic equation are completing the square, factoring, using the square…

Q: Find the critical value(s) of f(x)=8√x−x2 Give exact answers, and separate multiple answers with a…

A: We have to find the critical values.

Q: In order to solve 2r? + 9x – 5 = 0 by the quadratic formula, we use a = %3D „b = and c =

A: Given equation: 2x2+9x-5=0 To tell the value we will use for a, b and c in the quadratic formula.

Q: Let f(x)=1/x Using the definition of derivative at point f’(a)=lim f(x)-f(a)/x-a f’(3)=lim x->3___…

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Q: 288 Question 7 If crop B brings in a profit of $90 per acre, and crop A brings in a profit of $220…

A: This is a linear programming problem. The answer is in step 2.

Q: Given: 2.Circles tangent to the x-axis. Answers: 2. [¹+ (v)²] = [W²+¹+ (v)³]}

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Q: 36. g(x) = ex²-x

A: As per request we solve question 36

Q: Consider the following vectors. U = i + 4j3k, v = 4i- j, w = 8i + 11j - 9 k Find the scalar triple…

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Q: Find the area inside one leaf of the rose: The area is r = 2 sin(50)

A: We can find the area.

Q: Write the differential dw in terms of the differentials of the independent variables. 2u + 9x y+z…

A: the detailed analysis is given below

Q: y = CSC ²³ ( 5x ³ + 2) 3

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Q: Find all points on the surface given below where the tangent plane is horizontal. z = x² - 4xy-y² -…

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Q: Explain how to simplify a rational expression.

A: Explanation: How to simplify a rational expression.

Q: Solve sin (3x) cos(5x) — cos(3x)sin(5x) = - for the smallest positive solution. X = Give your answer…

A: Let's find value of x(smallest positive).

Q: Use a graphing calculator to graph the function. (a) Determine the limit from the graph. (b) Explain…

A: Given: limx→∞9x2+52x

Q: Evaluate the expression under the given conditions. 5 13 cos(p); cos(0) 5+5√ 15 26 = 0 in Quadrant…

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