In the accompanying diagram of a unit circle, the ordered pair (x, y) represents the point where the terminal side of intersects the unit circle. & 145° 60° 120° 150° If x = -2, what is one possible value for ?

Q: If a matrix A has eigenpairs λι = 3, v1 = and dg = 1,vg =, then find matrix A A= M M M M

A: According to question,Given Eigenvalues,λ1 = 3,λ2 = 1,eigenvectors,v1 = -1,2,v2 = 1,1

Q: Find the first 4 terms of the Maclaurin series function f(x) = Log (1+x), then give an estimation…

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Q: A firm has the​ marginal-demand function D′(x)=−1200x/root 25−x2​, where​ D(x) is the number of…

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Q: Find y(t) solution of the initial value problem ty' - y + 5t² cos(3t) = 0, None of the options…

A: We need to solve D.E.

Q: remains positive. It is modeled by the function e-t. alue of in the long run.

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Q: 5) ftan5 x sec^x dx = tan6x 6 a) b) tan x 8 tan'x 7 + + tan 5x 5 + + c + c sec7x secx c) 7 5 d) None…

A: To evaluate the following integral.∫tan5x sec4x dx

Q: x = 2+² +4t The position of an object at time t is given by the parametric equations y = 3t² + 5…

A: given  x=2t2+4t  and y=3t2+5formula used is  horizontal velocity =dxdtvertical velocity…

Q: Find the derivative of: A) y = 2* B) y = 4x² +3

A: Topic:- application of derivatives

Q: Find the linear approximation to the equation f(x, y) 5 approximate f(4.11, 6.23). f(4.11, 6.23) xy…

A: formula for linear approximation is  f(x,y)=f(x0,y0)+fx(x0,y0)(x-x0)+fy(x0,y0)(y-y0)given…

Q: Find the function f(x) such that f'(x) = f(x)(1 − f(x)) and f(0) = 1. (Use f for f(x) in your…

A: Given f'( x ) = f( x ) ( 1 - f( x ) ) f( 0 ) = 110

Q: For what value of k will the function f(x)=x- k have a relative maximum at x = -8?

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Q: dz Find where z = 4 x sin y, and x=t,and y = 5t³. dt'

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Q: For the function f(x) = 4x 4x -4x+8, f

A: Given: f(x)=4x4-4x3-4x2+8

Q: 9) The sequence a₁ = a) Diverges b) Convergest c) Converges to 15 2 d) None of the above 4n²+1

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Q: Find the height of the right circular cone of largest volume inscribed in a sphere of radius 41.

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Q: lim x →0 In(1+x³) x.sin x²

A: To find the limit of the function

Q: x=5t²+2t _y=2+²+4

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Q: Compute the Surface Integral of the function given by f(x, y) = 2x² +2y² over the portion of the…

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Q: Find the average value of the function over the given interval. f(x) ■ [6,9]

A: We are required to find the average value of function f(x)=54x2 over the interval [6,9]

Q: esec²(0) 3 −² (1 + tan² (0)) ² 2 -do

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Q: ƒ(x, y, z) = 3x² + 2y² − z², P = (–3, 3,7), ủ = 3i – 9j – 9k (Duf) p =

A: Given  fx, y, z = 3x2+2y2-z2,  P=-3, 3, 7,  u→ = 3i-9j-9k We have to find Du→fP.

Q: How long will it take for the population to reach 80738073 deer, according to this model?

A: Given that, the population of the deer grows as per the given model:     Pt=2993t2     , where t…

Q: Use series to approximate the definite integral I to within the indicated accuracy. · (four decimal…

A: Here, notice that the series of…

Q: Find the area between the graph of y=5-5x^(2/3) and x-axis and [-1,8] using the properties of…

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Q: Consider the indefinite integral fez +40 dr: a) This can be transformed into a basic integral by…

A: We are required to find the value of ∫e7x+4dx

Q: Find the surface area of each figure. Complete parts (a) through (c) below. 6.5 cm 18 ft 1.5 cm 1.5…

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Q: Let f(x, y) = x6y7. Find the linearization L(x, y) of f(x, y) at the point (1, 1). L(x, y) = Find…

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Q: If sin e = V2 and cos e = 4 what is tan 0? 430 O_√7 - 3 4 حرا من 3 O vi 3 - 3 4

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Q: K Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

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Q: f(x, y) = 4x² + 5y², P = (-9,2), u = 4i+5j (Duf)p m m

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Q: Find the absolute error if f(x) = sin(kx) is approximated by truncating its series expansion to…

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Q: Find the general solution to the system of ODE's x'= Ax, where -4-3 -1 - A =

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Q: To test this series for convergence n n=1 √n² +6 You could use the Limit Comparison Test, comparing…

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Q: Write the sum without sigma notation. Then evaluate. 3 k=1 (-1)+4 cos Write the sum without sigma…

A: Answer is in step 2.

Q: 3. R is the region between f(x)=xln(x) and the x-axis on the interval [1, e]. (a) Write an integral…

A: Since you have posted multipart question i can do first three subparts as per our company guidelines…

Q: 5. An Lissajous Figure is defined by x = 3 cos(3r) and y = 3 sin(51) on the f-interval [0, 2n]. (a)…

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Q: Find how fast the volume of a parallelepiped is increasing if its edges a, b, and o change at rates…

A: According to question,Given Edge of parallelopiped,a= 5,b = 6,andc =10,Rate of change of It's…

Q: The graph of one complete period of a cosine curve is given. y 3 f (a) Find the amplitude, period,…

A: We need to find equation of curve.

Q: 6. Sand is falling onto a conical pile at the rate of 10 ft³/min. The diameter of the base of the…

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Q: Problem 7: Evaluate the following improper integral if it converges or show why it diverges. Give an…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A: As we know that, The Power Law: ddxxn=nxn-1   To calculate the limit limx→1lnxx7-1.

Q: 6 6 Suppose f(x) dx = 9 and f g(x) dx = −8. eff (2) d +¡¸g(= -5 -5 6 Evaluate (-2 f(x) + 2 g(x)) dr.…

A: Given:- ∫-56fxdx=9  and ∫-56gxdx=-8

Q: 2 3 4 5 6 x) 5 6 3 2 9 (x) 4 -1 1 2 ompute -3 نه نه -2 2 7 3 O [ 5 f'(x) dx.

A: we will find the required.

Q: A ladder of length 6 meters is leaning against a vertical wall. Due to the smoothness of the ground,…

A: A ladder of length 6 meters is leaning against a vertical wall. Due to the smoothness of the ground,…

Q: The following equation is derived from population genetics that specifies the evolutionary dynamics…

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Q: If f(x) x = √₁² (2²³ + Sº (t³ + 5t² + 2), dt then ƒ''(x) = =

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Q: The dimensions of a box are x, x + 9, and x + 8. Find how fast is the volume of the box increasing…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: Below is the graph of y = x² +5. 201 15- 10- 5 -3 -2 -1 0 1 2 3 4 The area bounded by y = x² +5 and…

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Q: What percentage grade should a road have if the angle of elevation of the road is 2 degrees? (The…

A: Angle of elevation is 2° Horizontal distance is 100 foot