For the equation, find dy/dx evaluated at the given values. y² = dy = 8x - 71 at x = 9, y = -1

Q: Find the inverse for each of the following functions. f(x) = 9x + 1 f-¹(x) = g(x) = 12x³ - 5 g-¹(x)…

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Q: In what directions is the derivative of f(x,y) = xy + y² at P(3,5) equal to zero? Select the correct…

A: option A is correct

Q: C 1(10) QU

A: Given query is to find the value of the Indicated function.

Q: esigning a Norman Window  A Norman window has the shape of a rectangle surmounted by a semicircle.…

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Q: A baseball team plays in a stadium that holds 50000 spectators. With the ticket price at $9 the…

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Q: Give your answer accurate to 3 decimal places. A man on a dock is pulling in a boat by means of a…

A: A man on a dock is pulling in a boat by means of a rope attached to the bow of the boat at a point…

Q: Is it B or A.

A: Let's solve.

Q: PROBLEM - Standard form x+5x11 =y Vertex form Axis of symmetry Opening (upward or downward) Type of…

A: Vertex form of the prabola : y =ax-h2+k ; where (h,k) is the vertex of the parabola .

Q: Use the Laws of logarithms to rewrite the expression in a form with no logarithm of a product,…

A: Write the logarithm function as  logx10y6z6=Alog(x) +Blog(y) + Clog(z)

Q: 6 √√√m² +2+m6dm

A: Concept: Power rule of the integration ∫xndx=xn+1n+1+C Where C is constant

Q: The following table shows retail sales in drug stores in billions of dollars in the U.S. for years…

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Q: -1 tan¹ n n

A: NOTE: Refresh your page if you can't see any equations. . find the limit of the sequence

Q: Use a linear approximation to approximate ln(0.98)ln⁡(0.98) as follows: Let f(x)=ln(x) and find the…

A: The given function is  f(x)=ln(x)

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

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Q: PROBLEM # 2 Standard form Vertex form 3(x + 5)² + 10 = y Axis of symmetry Opening (upward or…

A: Given vertex form of equation of parabola is, 3x+52+10=y

Q: A particle moves along the x-axis so that at time t> 0 its velocity is given by v(t) = 18t² — 36t.…

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Q: The area of the region bounded by the two curves y = x² and y = 16 is Square Units

A: To determine the area of the region bounded by the two curves y=x2 and y=16.

Q: Determine the area of the region bounded by two the curves f(x) = x² – 22x + 48 and g(x) = 11x + 24.

A: Topic = Area

Q: ← The following table gives the monthly premiums for an insurance policy on people of various ages.…

A: The given data is: age monthly premium       35 127       40 164       45 242       50…

Q: Consider the following. lim x→0+ (a) Describe the type of indeterminate form (if any) that is…

A: If a limit limx→cf(x)g(x) is of the indeterminate form 00. Then…

Q: Find x. Round your answer to the nearest tenth of a degree. 11 4 x = []。

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Q: Find the following using the table below. 1 2 3 4 1 3 2 4 4 2 f(x) f'(x) 13 g(x) 23 14 g'(x) 1 2 4 3…

A: Explanation of the answer is as follows

Q: Let Y represent the profit (or loss) for a certain company X years after 1975. Based on the data…

A: We have given model Y=-0.68X+21.75 To get profit in 1993 Put, X=1993-1975 =18 So, Y=-0.68×18+21.75…

Q: Find the solution to the boundary value problem: d²y dt² dy 2- + 5y = 0, y(0) = 1, y(π, dt

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Q: An initial investment of $30,000 is made in an account where interest is compounded continuously. If…

A: An initial investment of $30,000 is made in an account where interest is compounded continuously. If…

Q: = 2π/3. Find the directional derivative of f(x, y) = sin(x + 2y) at the point (4, 3) in the…

A: If f is differentiable function then directional derivative of f at the point (p,q) in the unit…

Q: If f(x) = x³ + 6x +5, find (ƒ−¹)'(5) =

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Q: d Compute the derivative of [tan¹(x)]. dx

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Q: 4 (b) Σ(-3)3k k=1

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Q: Find the critical numbers of the function. h(t) = 3/4 - 2¹/4

A: Topic = Derivative

Q: A function f (x) is continuous at x = a if: 1.a is in the domain of f (x) II. lim f(x) exists x→a…

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Q: Find the limit. 5) lim 3x²+7x-2 x- 3x² - 4x-2

A: We will find the required limit.

Q: How do we call a function that is not a polynomial?

A: Topic = Function

Q: A light source is located over the center of a circular table of diameter d = 12 feet (see figure).…

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Q: 1. Find a parameterization of the tangent line to r(t) = (- sin(2t), t², cos(2t)) at the point (0,2,…

A: Given :- rt=-sin2t,t2,cos2t

Q: Find the absolute maximum and minimum of ƒ(x, y) = 4x + y within the domain x² + y² ≤ 1. Please show…

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Q: The depth (in feet) of water at a dock changes with the rise and fall of tides. The depth is modeled…

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Q: Using the integration by parts method, / -13x e ¹+13e ¹+C 13e ¹ + C O 13x e¹ O-13c e 13e+C O 13r e 2…

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Q: In each of Exercises 1-14, D(x) is the price, in dollars per unit, that consumers are willing to pay…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = -2 ex cos (yz),…

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Q: What initial investment at 7% compounded continuously for 9 years will accumulate to $70,000? (Round…

A: We have to find the initial investment at 7% compounded continuously.

Q: Find the area of region bounded by the curve y= 2x3+ 8x2-10x, the x-axis and the lines x = -2 and…

A: Given query is to find the area of the region.

Q: Write the equation of the line in slope-intercept form that passes thorugh (-3,4) and (5,4). Then…

A: Horizontal axis is x-axis and vertical axis is y-axis

Q: A particle moves along the x-axis so that at time t 0 its position is given by x(t) = t³ - 3t² - 1.…

A: We can find distance travelled by the particle .

Q: Express the following as a single logarithm. In(13+x³) + ln x - ln (cosx) = |

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Q: S Using the integration by parts method, 10x ex dx =

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Q: Find the values of the following limit. If a limit does not exist, type DNE in the entry box. x-3…

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Q: A population grows according to an exponential (Malthusian) growth model. The initial population is…

A: Growth model :-Pn=P01+rnr=growth rate Here r=0.3 P0=5⇒Pn=51+0.3n⇒Pn=51.3n

Q: Let f(x)=√4x² + 4x + 2 f'(x) = f'(4) = (round to 3 decimal places)

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Q: Find the derivative of: 7 sin² (8x³). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).…

A: Given: fx=7sin28x8   As we know that; The Power law: ddxxn=nxn-1 Apply the Chain rule: fgx'=f'gx·g'x…