Find dy/dx of 6x? – 4y² = 10 at (1, 2) 3/2 None of these 4/3 -3/4 -4/3

Q: Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the…

A: Suppose $15000 is invested at 7% interest compounded continuously. How long will it take for the…

Q: n Apply the Integral Test to the series E n=1 n²+1

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Q: Needs complete and organized solution. Find the area of the plane region bounded by the given…

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Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

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Q: Write the composed trigonometric function sin (arctan x)sin (arctan x) in terms of x. Explain your…

A: In this question we have to find the function in terms of x.

Q: Let A = (1,0, 1) and B = (0, 1, 3). Solve for projaB. %3D

A: This question is based on vector projection.

Q: Problem 2 Let f(x) = and g(x) = /3x +2. (a) Find the domain of y = f(x). (b) Find the domain of y =…

A: We have to find domains

Q: hi, in no.1, instead of y=x2 + 2, you entered y=x2-2, so is the graph right? the point is supposed…

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Q: Find aly if and of to

A: Differentiation

Q: b). Using gamma function, evaluate Sx6 e-2x dx

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Q: Solving bernoulli differential equatioA 27 Xp 2X 2Y

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Q: dy given the dx Use implicit differentiation to determine equation x° + y? 10. - dy dx

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Q: der the series. You will apply a comparison test to determine the sin n=1 3 behavior. Do the…

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Q: Use algebra and the properties of limits as needed to find the given limit If the limit does not…

A: We need to evaluate limit.

Q: Use your calculator to find the area shown in RED. 8 f(x) = sec(.5x+2) + 2 tan(.5x + 2) +3 Round the…

A: The region is bounded by the curve,fx=sec.5x+2+2tan.5x+2+3 from x=0 to x=5

Q: Find the velocity and acceleration vectors in terms of u, and ug- r= 5 sint and 0 = 5t = (Du, + ()…

A: Recall:The velocity is given by      v =r' ur +(rθ') uθandThe accerleration is given by     a…

Q: Find the area of the shaded region below. x = y? – 4y (-3, 3)

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Q: To find two real numbers whose difference is 24 and whose product is minimum, we can find the…

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Q: x-16 x'+8 The function f(x)=D- has derivatives f'(x)= 48 and f"(x)=- 10 (d) Determine the intervals…

A: Given problem:-

Q: 2. Let A = (1,0, 1) and B (0, 1, 3). Solve for projaB. %3D

A: We have to find projection

Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: 2. The number, N, of bacteria in a culture at time t, in hours, is N(t) = 1000[30 + e a. What is the…

A: Topic:- exponential function  Note:- as per our guideline if more than three subparts posted than…

Q: Find, by slicing, the volume of a cone whose height is 5 cm and whose base radius is 1 cm. Slice the…

A: The slicing cone has height 5 cm and radius 1 cm

Q: Suppose that f(æ, y) f(x, y) in the directional (1, – 1) and at the point = xy. The directional…

A: Here, the given function is: f(x,y)=xy So, ∇f=∂f∂x,∂f∂y⇒∇f=y,x⇒∇f(4,-3)=-3,4

Q: Given the vector u with magnitude 3 and direction 185°, and vector v with magnitude 6 and direction…

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Q: Find the velocity and acceleration vectors in terms of u, and ue en r=6 sin t and 0= 9t

A: The velocity is given by            v = r' ur +rθ' uθandThe accerleration is given by        a =r"-r…

Q: If 4x? + 5x + xy = 2 and y(2): – 12, find y'(2) by - implicit differentiation.

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Q: Assume Za is opposite side a, 2B is opposite side b, and Zy is opposite side c. Solve triangle ABC…

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Q: Find the center and radius of the sphere. 2 2 5x + 5y + 5z + x +y +z = 16 Center = (OOD. radius = 4…

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Q: Line tangeet Find the the equetion of the Cur ve X= 2+ Sec p und at p = to

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Q: ven the function f(x) = -x* – 4x termine its critical points and assify then, determine the point(s)…

A: Topic:- calculus

Q: ,11,,11 x"yll The expression log can be written in the form 24 A log(x) + Blog(y) + C log(z) where A…

A: logmn=log(m)-log(n) log(m.n) =log(m)+log(n) logmn =n log(m)

Q: 14. %24

A: For determining the continuity of a function from its graph , we need to examine whether the graph…

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Q: P(x) = 23x – a?. %3D

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Q: The percentage of men age 65 years and older in the workforce from 1950 (t = 0) through 2000 (t =…

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Q: Determine the antiderivatives of the following functions: 1. S(x+ 1)100dx 2. S(x²+x)1º(2x + 1)dx 3.…

A: Topic:- application of integration Note:-  as per our guideline if more than three subparts posted…

Q: Find the solution of the differential equation dy x+y=x²y² dx

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Q: position in feett seconds after it starts moving is given by s(t)=D9t/t erage rate of change in…

A: Topic:- application of derivatives

Q: Problem 1 Solve the inequalities and sketch their graphs on the real number line. (a) 4r – 6 > 10…

A: We have slove inequality  As per guidelines we have to solve 1 question if you need please repost…

Q: To find the distance across a river, a surveyor choose points A and B, which are 224 m apart on one…

A: In this question we have to find AC and distence across the river.

Q: a). Find the specific solution to the 2nd order non-homogeneous differential equation d²y dy 12y =…

A: a)The given differential equation,d2ydx2-dydx-12y=30x

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A: Here we have to find the volume.

Q: Find the following for the vectors u = 6i + 3j + /2k and v = - 6i – 3j – /2k. a. v•u, Įv], and Ju|…

A: We will solve the problem on vector dot product and projection.

Q: Express the vector - 6i + 6j + 7k as a product of its length and direction. - 6i + 6j + 7k = 11 6.…

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Q: Evaluate the integral |- 5x + x3 - 2 x5 dx 3

A: Topic:- integration

Q: Directions: Determine the reasons of the following statement In the given figure, if EF GH, then EG=…

A: We want to identify the steps.

Q: Use implicit differentiation to find the slope of the tangent line to the curve = x° + 9 2y 10 at…

A: To find out the slope of the tangent at point  (1, 10/21).

Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

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Q: Find the Taylor polynomials P,,P,, P2, P3, and P, for f(x) = ln(x³) centered at c = 1.

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