. Given the triangle below, find the value of b to the nearest tenth. 33 1 b 110 6.2 units O 3.4 units O4.1 units 4.5 units с

Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

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Q: Consider the curve defined by the equation y = 3x + 4x. Set up an integral that represents the…

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Q: A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where…

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Q: (b) y when y=3 cos t

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Q: En²e-n³

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Q: Approximate sin 49º by Taylor series

A: We know that,  49°  = 45° + 4°  = (π/4 + π/45) rad = (45+4)*π/180 =  49π/180 rad

Q: For the function f(x.y.z) = 1+ xy° - 4z*, find f f, and f.

A: We can find the partial derivative in the following steps.

Q: Let f(x) = x5. Use logarithmic differentiation to determine the derivative. f’(2) = = ƒʼ(1) =

A: First we take take logarithm on both sides of the given equation and differentiate both sides with…

Q: Let f(x) =x' - 7x² +2. Find (f")'(-4)

A: We know that  f-1'(a) = 1f'f-1(a)

Q: 87元 6 2 23 4元 3 ✈0 江 11元 6

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Q: Given csc 0 = -3, sketch the angle in standard position and find cos 0 and tan 9, where e terminates…

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Q: For an arithmetic sequence a31=67 . if the common difference is (-4), find a1 and the sum of the…

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Q: Find the first five non-zero terms of the Taylor series for f(x) centered at x = 2. Written…

A: In order to find the first five terms, we need to apply the formula of Tailor's series entered at 2.

Q: Match each function with its derivative. Y • x² x4 + 5x 1. cos x - - x8 8. sin x + x4 3x x4 -1.…

A: Concept: Differentiation of xm dydx=xm=mxm-1 dydx=ax=loge(a)· ax

Q: Find the area of the surface generated by e + e -y revolving the curve x = 2 0sys In 6 about the…

A: To find the surface area generated by revolving the curve x=ey+e-y2,0≤y≤ln6 about the x-axis. We…

Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Question 4 If $10,000 is invested in a savings account offering 5% per year, compounded…

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Q: Verify that af ?x || 224 ?х ду = 224 ду дх - for f(x, y) = 7x®y³ – 5x5y4.

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Q: Use the shape of the graph to name the function. Standard cubic function Constant function Identity…

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Q: Let f(x) = µ5ª. Use logarithmic differentiation to determine the derivative. f(x) = ƒ'(1) =

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Q: How many solutions does the follow equation have. Explain e* = 0

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Q: s, e -0.4 is

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Q: Find dyldx /x+ Vx+... dy dy 2у +1 1 1 dx y - 1 dx Option 1 Option 4 dy dx y +1 dx 2у - 1 Option 3 O…

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Q: 5. If fx) = ene0", find f"(0). a. e b. 1 C. 7 d. 0

A: Derivative

Q: Answer the question in the space provided and in full details. . Answer in complete sentences, with…

A: The triangle law of the addition of vectors states that two vectors can be added together by placing…

Q: 6 Consider the series n2 +n a. The general formula for the sum of the first n terms is S Your answer…

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Q: Find the curvature of the curve F(t) = (cos(5t), sin(5t), 3t) at the point t

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Q: n² 2n-1 (-5)" n=]

A: Note :- These are multiple questions and according to our company guideline we can do maximum 1…

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

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Q: An 1+- n

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Q: 4. It is estimated that x months from now, the population of a certain town will be changing at a…

A: First we will integrate p'(x) to find the function p(x) and then we will find the population 27 from…

Q: Find the partial fraction decomposition of 2 + 2x-8

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Q: Identify the type of quadric surface defined by the equation 6x² + 3y² + 2z² = 36, and find all x-,…

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Q: c) (fog)(x). Simplify the function. d) The domain of (fog)(x). e) Evaluate and simplify f(x)-h(x).

A: Given query is to find the domain of indicated composite function.

Q: a. Find the first four nonzero terms of the Taylor series for the given function centered at a. b.…

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Q: In solving Optimization Problems, it is important to substitute zero to the 니o parameter being…

A: Here is the solution

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A: We have to find radius of semicircle and height of rectangle.

Q: 2. Find the volume of solid generated by revolving the area bounded by: y=x²+1, x = 0, y = 0 and x=2…

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Q: Show that the following series diverges. Which condition of the Alternating Series Test is not…

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Q: Write the first four terms of the sequence (an}n=1 an (-1)^ 3⁰ (Simplify your answer.) (Simplify…

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Q: Q2/12 2 = と = COS e ) y= Sine find the %3D

A: partial derivative

Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in…

A: The height(cm) of the candle is a linear function of the amount of time (in hours) it has been…

Q: Use Green's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy for the given path. C:…

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Q: Locate the points of inflection of the curve 4 ƒ (x) = x²e* -2+ V3 2+ V3 Option 1 Option 2 -2+ v2…

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Q: ind an equation of the parabola that has a focus at (4, 7) and a vertex at (4, 6): Find an equation…

A: Topic:- geometry

Q: Fint the volume generated by revolving the area bounded by y= x^2 + 1, x=0, x=2 about y=0

A: Here we have to find the volume generated by revolving the area about x axis .

Q: apn below, state whether Graph 1 2- -8 -2 O Yes Graph 4 8. 4 OYes O No 6. 2+ O No resents a…

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