12. Find the standard form of the equation of the hyperbola with the given characteristics. vertices: (0,16) foci: (0,7)

Q: a Identify the type of sequence presented in the table. b. Write an explicit Formula for the…

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Q: II. Solve the following problems. Enclose final answer. 1. The Maximum point of y = (x²+2x+10) (x-3)

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Q: For questions no. 4 and 5. Given: Radium decomposed at a rate proportional to the quality of radium…

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Q: C) Determine the area of the shaded region about the x-axis.

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Q: 6. lim x->0 (1+x)¹/5 (1+x)¹/3 - (1-x)¹/5 - (1-x)¹/3 (Ans:/)

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Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

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Q: Lim (sinx)* -0+

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

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Here we have I=∫01dxx

Q: (a) Verify that tanh P-tanh Q 1-tanh P tanh ọ tanh( P – Q)

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Q: Find ²2 of z = In(xy) 8²y

A: Given: z=lnxy   As we know that; The Power law; ddxxn=nxn-1 The Chain Rule: fgx'=f'gx·g'x And…

Q: Find x, y and z, if the matrix A = a) x= 2₁ y= V₁ = √3 b) √√6 =√², y = x= 2= c) None of these d)…

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Q: when the first nine terms of an arithmetic sequence is added. its sum is 72. what is the value of…

A: The fifth term will be ,a5=a+4d=8

Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

Q: 은 J4-√x dx

A: This question can be solved using integration by substitution.

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A: Application of differentiation

Q: for a system of two equations in two variables, the graph of the equations are the same lines, then…

A: We have to find out the solution existence

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: 7. Find the area between f(x)=-x² + 4x and g(x) = x² - 6x +5 over the interval 0≤x≤1 Ei..

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Q: Q3/Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

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Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: 4. Use the washer method to determine the volume of the solid obtained by the revolving the region…

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Q: The LCM (y2-16, y2 +8y +16 (y-4) (y+4) G

A: Given: y2-16,y2+8y+16 Steps for finding LCM: Find all the prime factors of each given number.…

Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL. ENCLOSE FINAL ANSWERS. dx xy+3x-y-3 1. Find the…

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Q: xcosx 2. Lim: xo sin²x 2

A: We can find the limit as below

Q: Calculate y'. y = ln(x ln x)

A: Given: y=lnxlnx

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Application of integration

Q: Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find d)  The open intervals on which f is concave…

A: Given problem:- Consider the function f(x) = x^4 − 5x^3 + 9x^2 Find   d)  The open intervals on…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: Solid S is bounded by the surfaces z=x2+y2 and z=4-x2-y2

Q: Find the volume of the solid obtained by rotating the region bounded by the given curve about the…

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Q: e slope of the line parallel to 6y + 2x=8 is 0.3. صواب خطأ

A: Topic:- geometry

Q: Lim x-0 et - 10t

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Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) = [" = cosh (√2t - 1) dt at…

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Q: Evaluate the following indefinite integral using Trigonometric Integrals f sinª x cos³x da where a…

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Q: (12) Sz sec¹z dz.

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Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: Given,f(x)=4xe-9xWe know that,An inflection point is a point on the graph at which the second…

Q: 3. The Critical Point of y=xe*

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Q: C004Exp Tweig √2 x, y = 0, and The base of a solid is the region bounded by y x = 4. If every cross…

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Q: Lim x sinx x→ 0+

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Q: 4. Consider the sequence {n} (a) Write out the first five terms of the sequence (b) Determine…

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Q: 17. Find the volume of the solid that results when the region enclosed by y = √x, y = 0, and 2 = 9…

A: According to our guidelines, we can answer only the first problem or first three subparts of a…

Q: So x² dx √4-x²

A: To find out the integration.

Q: Lim (sinx)* x-0+

A: All the necessary steps have been provided in the solution along with explanations. Follow the steps…

Q: In (x-2) lim x2+ In (x² −4)

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Q: 1. Newton's Law of Cooling: At 9:00PM., a thermometer reading 70°F is taken outdoors where the…

A: Note: Unit of temperature °FTs1=Outdoor temp or surorunding temp 1          = 15°FTo=Thermometer…

Q: II. Solve the following problems. Enclose final answer. 7.Find of z = 2x³ - 5xy² xy

A:

Q: Numerical Integration: c2 S 1 √x 1. =dx

A: The integral is  ∫02 1xdx

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A: Given that the width of the sheet is = 4108 inches. On each side turn up 108 inches. So the length…

Q: d²y dy Consider the differential equation +9y = 9x + 3. dx² dx (a) Find the general solution. (b)…

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Q: 3. The Critical Point of y = xe-*

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Q: Two functions are defined as follows: f(x)=7-2x² and g(x)=x²+4 (a) Use ANY graphing tool to…

A: Here We have to find the point of intersection of the two curves.