Find the center and radius of the sphere. x2 + y2 + z2 − 16y + 6z + 9 = 0

Q: Find the compound amount and the amount of interest earned by the following deposit. $7,000 at 7.78%…

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Q: the size of a bactiera populaation found in some food greows at a rate of p(t) =8000t/80+t^2 where t…

A: To find out the time when the bacteria population will be maximum.

Q: A hospital is located 3 miles west and 4 miles north of the center of town. Suppose that a Medi-Vac…

A: A hospital is located 3 miles west and 4 mi north of the center of town  The coordinates are (-3,4…

Q: Find (a) the general solution and (b) the particular solution for the given initial condition. 9 y'…

A: The given differential equation is:y'=9x+x2-4x4,              y(1)=-4

Q: ec-¹(-√2) sec

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Q: Dave took out a $7300 loan at 10% and eventually repaid $8030 (principal and interest). What was the…

A: principle amount= $7300 final amount=$8030 interest 10%

Q: 1. In each case, find dy ele (b) y = dx (a) y = 6·½√x + 10 √√x Express your final answer to part…

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: 3. Find the antiderivative using the indicated substitution. So √4+2 dt, u = 4+2t² du = Performing…

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Q: Use the 3 step Mathematical Induction process to prove the following statements. You must label and…

A: Note:- Since you asked multiple questions ,according to our policy we can solve only first question…

Q: x = t³3t, y=t³3t²

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: What lump sum do parents need to deposit in an account earning 15%, compounded monthly, so that it…

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Q: 6+02+z*91taXtrực (x + 2)(x² + 3)² xp=

A: ∫3x4+4x3+16x2+20x+9x+2x2+32dx

Q: Each of the functions g, h, and k in the table below is increasing, but each increases in a…

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Q: Consider the following polar equation r = 4e20₁ 0 ≤ 0≤ 2T. Find: (a) the slope of the tangent line…

A: By the guidelines, we will be answering the first question. We are given that,

Q: Find the area of the region enclosed by y = 6x² and y = x² + 15.

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Q: Solve the polynomial equation : 6x^3+25x^2+12X-7=0

A: Given third degree polynomial So there are e root of the equation

Q: Rewrite the expression cos(sin-¹(x) — tan¯¹(y)) √₁-x² + xy V1-2 as an algebraic function of x and y.…

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Q: In calm waters, the oil spilling from the ruptured hull of a grounded tanker forms an oil slick that…

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Q: x-4 x-4x²-x-12 Evaluate lim A. Undefined B. 0 C. Infinity D. 177

A: According to guidelines solution of the question first one, you have to repost the other

Q: Use the results of problem 3 (above)to find the relative extremes (local maximums and minimums) of…

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Q: If f(4) = 3 and f '(x) ≥ 3 for 4 ≤ x ≤ 7, how small can f(7) possibly be?

A: We have to find the smallest value of f(7)

Q: Evaluate the integral using integration by parts. √4x³* dx Saxe Saxe3x 4xe³x dx = ***

A: The given integral is 4xe3x.

Q: Find the arc length of the graph of r(t) = √²ti + e-√²+2tk, 0≤t≤ √√2 ln 3 NOTE: Enter the exact…

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Q: Using the graph of g(x) below, answer the following questions. ^^ -11 a) Where is g(x) > 0 ? b)…

A: Consider the graph of g(x)

Q: If sin 0 = 7 25 and is in Quadrant III, find tan(0/2).

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Q: 1. f(0) = 7 * sec (0) - 2 7 amplitiude = midline (vertical shift or k) = -2 phase shift (h) = _0…

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Q: ← Integrate. Scos 19 sin (5x) dx cos (5x)e ၂ cos 19 sin (5x) dx = + C cos (5x)e¹

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Q: Find the point on the surface f(x,y)=x²+y²+xy-13x+25y at which the tangent plane is horizontal. )

A: We have to find the point x,y on the curve where tha tangent plane is horizontal.

Q: When a ball is thrown vertically upward on the moon with a velocity of 15 ft/sec its height, y(t),…

A: Given data

Q: 3. The terms of an infinite geometric series are given by 3x-4 a = 5(0.2) ³-4 Show all work to find:…

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Q: Fritz Benjamin buys a car costing $10000. He agrees to make payments at the end of each monthly…

A: We have to find the monthly amount paid by fritz.

Q: ck by differentiating!) (Hint: Use the properties of logarithms.) se parentheses to clearly denote…

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Q: Find the General Integral of the Differential Equation

A: We need to find general solution of D.E. To solve this question we need to substitute y=vx or v=v/x.

Q: Simplify the following Boolean Equation: Note: the single quote 'means "compliment". E.g. A' means…

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Q: (c) Set up (but do not evaluate) the iterated integral to find the volume of the solid enclosed by y…

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Q: The plane that passes through the point (5, 4, −2) and is perpendicular to both 4x + 2z = −20 and 4x…

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Q: Let C(q) represent the cost, R(q) the revenue, and a (g) the total profit, in dollars, of producing…

A: Given that the Cq=Cost function Rq=Revenue function And πq=Profit function

Q: Consider the following. yx = xy (a) Determine y'. y' = ln(y)yt X (b) Find the slope of the tangent…

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Q: log 3 b + d 100

A: The given expression is logp3+q100

Q: to evaluate Improper Integral Using the limit Comparision theorem. You Involves trial and process th…

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Q: Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A research…

A: We need to find best point estimate.

Q: ketch the solid that has the given description in spherical coordinates

A: Sketch the solid that has the given description in spherical coordinates. 0 ≤ θ ≤ π 0 ≤ ϕ ≤ π/2 1…

Q: If cos t= - G|5 and if the terminal point determined by t is in Quadrant III, find tan t cot t + csc…

A: cost = -45 As we know that cosθ = basehypotaneous base = 4 hypotaneous  = 5

Q: Let h(x) = -4+ex +1.

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Q: Karl Yates needs $7,000 to pay for the remodeling work on his house. A contractor agrees to do the…

A: Karl Yates needs $7000 after 2 months. Therefore future value is:FV=7000Time period is:  t=2Interest…

Q: r(t) = (6 - 2t)i + (2t − 9)j + (9 + t)k A) T T = -3i+j+ ¹ k C) T = ²i-i-1 k B) T = -3i+j+ ¹ k D) T =…

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Q: erty' (t) = -8

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Q: Find the present value of the given future amount. $178,266 for 215 days at 5.9% simple interest.…

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Q: What is f'(4) for the function f(x) : = x x - 2 -

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