Find the distance between the skew lines =(4,-2,-1)+1(1,4,-3) and F=(7,-18,2)+u(-3,2,-5).

Q: A right circular cone with radius r and slant height / has surface area given by A = nr² + nrl. When…

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Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

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Q: The graphs of y = f(x) and y = g(x) are shown below. If g(x) = af (b(x − h)) + k determine he values…

A: The graphs of y=fx and y=gx has been shown above.Given that,  gx=afbx-h+k, we need to determine the…

Q: 1) If f = {(0,4), (1, 5), (4, 7), (5, 9)) and g = {(-1, 3), (1, 5), (2, 6), (4, 9), (8, 10)),…

A: Let's solve for all function.

Q: Compute the partial derivatives: z = ln(x3 + y7) о дz ?x Oz ду || о

A: Given query is to find the Indicated partial derivative.

Q: Suppose that the fish population P(t) in a lake is attacked by a disease (such as human being who…

A: Given data:- According to the question, the birth rate of the fish population is zero and the fish…

Q: 1. Solve the following first order ordinary differential equations: dy_2x+6y-1 (a) = dx x + 3y + 2

A: The given differential equation is; dy/dx=(2x+6y-1)/(x+3y+2). Repost the next questions.

Q: (x - y - 1) dx - (4y + x) dy = 0 Give the: a. homogeneity b. degree c. reducible homogeneous…

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Q: Calculate all four second-order partial derivatives of f(x, y) = (5x + 4y)e". fxx (x, y) fxy (x, y)…

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Q: Let f(x) = {3x + 2, x < c {2x -3, c < x < 8 Find the value of c so that f is continuous at that…

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Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: Evaluate the derivative. y=x* y' = (Type an exact answer.)

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Q: What is the value of k so that d dx -sin(kx²) = 6xcos(kx²) 2

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Q: Use E-N verification to prove that - →>>> O as n. Vn

A: the answer is in step 2

Q: Find the distance between the points p1and P2. P1 =(2, -3); P2 =(4, 2)

A: Given points, The given point P1 =(2, -3) The given point P2 =(4, 2)

Q: F(x) = x³ - 2x² b) manipulate the function algebraically and differentiate without 2x2 alsolve with…

A: Given function:- fx=x3-2x22x2

Q: Make a sign diagram for the derivative of the rational function. 20x - 60 4x + 12 F(x)= =…

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Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: Find the indefinite integral. (Use C for the constant of integration.) sin³ sin³ 20 √ cos 20 de

A: ∫sin32θcos2θ dθ We have to find Indefinite Integral.

Q: π π Let f(x) = sinx, -2 ≤x≤ and g(x) = cos x, 0≤x≤. Find the exact value of the composite function.…

A: Now here,         We have given two functions and we have to find the new composite function as…

Q: A carpenter builds bookshelves and tables for a living. Each bookshelf takes one box of screws, two…

A: Given that : The bookshelf takes one box of screws, two 2 ✕ 4's, and three sheets of plywood. The…

Q: Plot the points (2,0),(2,-3),(2,4),(2,1),and(2,-1).Describe the set of all points of the form (2,y)…

A: To Plot the points on the coordinate axes and to describe the set of all points of form 2,y.

Q: A railroad bridge in one city has a low clearance for trucks. An engineer standing 23 ft away…

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Q: suppose f(x) and f'(x) have the following values. I -1 0 1 2 f(x) 6 -9 2 -3 f'(z) -1 5 -6 -2 et h(z)…

A: Given query is to find value of the Indicated derivative using the table.

Q: If z = (x + y)e", y = 5 - t², find dz/dt using the chain rule. Assume the variables are restricted…

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Q: Find the derivative of f(x) = 2x³log3(2x5-9). O O a.) b.) c.) d.) ƒ'(x) = · 16x7 (2x5-9)In3 f'(x) =…

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Q: Two fire lookout towers at points A and B are 5 mi apart. Find the distances from points A and B to…

A: Given data:- The given angle,  ∠ABC=75°45'∠BAC=84°37' The distance between A to B is 5 m.

Q: Suppose f'(x)=√√/1 + 2x¹. d da -f(8x): d dx f(2x¹) = [

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Q: Evaluate the integrals 1,2,dx 1.

A: Dear student,as per policy we are allow to solve one doubt at a time.please repost other doubt

Q: ute the derivative of the given function in two different ways.…

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Q: The graphs of y = 5, y = f(z) (solid) and y = g(z) (dashed) are shown; the graph is not drawn to…

A: Given figure:-

Q: ว | 2 dx น x-9

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Q: 1.  Given the function y = x⁴-2x²: DETERMINE THE MAXIMUM POINTS,  MINIMUM POINTS, AND INFLECTION…

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Q: (Initial Value Problems) Solve the following initial value problems: dN (a) d = t-, t≥ 0, N (0) = 60…

A: Given IVP   is dNdt=t-13         t≥0 , N(0)=60

Q: Find the area of the region described. The region bounded by y = 3(x + 1), y = 4(x + 1), and x = 4…

A: Topic- area of the region bounded by curves we are given, y=3(x+1),y=4(x+1) and x=4

Q: If f(x) = 2x + find f'(1), using the definition of derivative. f' (1) is the limit as x → of the…

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Q: (5) A student used "U-substitution" 3 integral: S x² √√9- x² dx By using the following steps: Let U…

A: We need to find out the integration by using trigonometric substitution.

Q: Page < 1. The following is the graph of f. Find the following limits. State if the limit does not…

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Q: Use the graph to determine (a) open intervals on which the function is increasing, if any (b) open…

A: Use graph to determine

Q: y (3x² + y²) dx + x(x²+ 3y²) dy=0

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Q: X If z = tan € Y y=u²v², find the following partial derivatives using the chain rule. Enter your…

A: Here we have to find the partial derivative.

Q: If f(1) = 8, write an ordered pair that must be on the graph of y = f(x - 11) - 7.

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Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. z = x¹y¹ + z −…

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Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Find a. b. C. d. e. f. g. lim x-3 lim x0 lim x → 0+ lim x10 lim x2 f(x) h. f(2) f (x) f (x) f (x)…

A: We need to evaluate the following limit for the given graph of the function a. limx→-3fxb.…

Q: dy Find when y= dx (a) (c) ax² √bx+c abx² + 4acx (bx + c) √bx + c 3bx² - ax (bx + c) √bx+c :, where…

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Q: Answer

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Q: Solve the right triangle for the unknown sides and angle. Round values to 1 decimal place if…

A: We can find the answers in the below steps.

Q: The price, in dollars per units, that consumers are willing to pay for a popular high-end digital…

A: The objective of the question is determine the value of price , units and fill the boxes.

Q: 3. +00 S -~-00 (x²+3) ² 2 30 dx

A: Given integral:- ∫-∞∞xx2+32dx