1 Express the following functions in the form utiv • f(Z) = ln (1+z)

Q: Find the shortest distance between the (entire) line L1 passing through the points A(1, 1, 2) and…

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Q: s f(x) = sin(wt) odd, even, or neither? show graph and solution

A: Given: ft=sinωt   Analytically, we can check whether the function is even or odd with the condition,…

Q: A. Write ✓ on the line if the given equation is a circle; otherwise write x. If the equation defines…

A: The equation is given by x2+2x-y2+1-4 = 0                  ........1 To determine: Whether the given…

Q: 6./07 - A room is 12 ft wide and 15 ft long. How many square meters (m²) is the floor in this room?…

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Q: If  g(x) = x2 + 10x  with  x ≥ −5,  find  g−1(56).

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Q: Q1/A Find the equation of line perpendicular to x - 4y - 7 = 0 and passes through the point (3,-4).

A: Solution is given below:

Q: If y = u5/2, u = 7x8 + 3x², find dy/dx

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Q: For the differential equation ty' - y = t²e-¹, 1. Draw a direction field for the differential…

A: Solution

Q: d (19) dx [xy] dx

A: We have to find the integral.

Q: DEFINITE INTEGRALS Evaluate each of the following definite integrals: 21. ²(6x² + 3)dx 22. (4x+1)dx

A: To evaluate the integral.

Q: Use the divergence theorem to find the outward flux of the vector field F(x, y, z) = 4x²i + 5y²j +…

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Q: 3) Determine the speed of change of volume of a rectangular parallelepiped, knowing that the edges…

A: Let the length of base edges and vertical edge are x, y and z respectively such that dxdt = +2…

Q: Find the x- and y-intercepts of the graph of the equation. (If an answer does not exist, enter DNE.)…

A: We have given an equation. We have to find the x and y intercept. We have  y - 9xy + 9x = 1 To find…

Q: ? 4 -1

A: We will find the required.

Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: 4) - How much work box horizontally 10ft with a force of 2016 applied at an angle of 45° to the…

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Q: 2. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1, and…

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Q: Find the equation of the line tangent to (a) The parabola z = 2x² - 3y², y = 1 at the point (-2,1,5)…

A: Given: we have to find equation of tangent lines   equation of tangent line : y-y1=m(x-x1)

Q: 1337 + (2) =?

A: We have to find the value of given complex number.

Q: How did dy dx Show solution pls. ty became d dx (xy)

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Q: Function h(t) = sin t + et Point 1 Let (₁1¹) (ㅠ, 6 (a) Find an equation of the tangent line to the…

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Q: The

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Q: 55 43 3+ kt 410 -8 -7 -6 -5 -4 -3 -2 -1 -14 -2 -3 2 3 4 5 6 7 8 9 10 the graph of y = f(x) is shown…

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: Solve 273 (Q)dx if Q=0.85x² + 6x + 12 298

A: Given :∫298273QdxQ=0.85x2+6x+12

Q: Find the set on which the curve is concave upward. Answer (in interval notation): = [₁² F 1.² 2 t² +…

A: A function y=f(x) is said to be concave upward on an interval if d2ydx2>0.

Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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Q: Electricity rates. The table to the right shows the electricity rates charged by Better Than…

A: The table shows electricity rates charged by better than lightning in the winter months. Winter…

Q: Convert the coordinates as indicated (3,TT/3, -4) from Cylindrical to Cartesian.

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Q: Find a plane containing the point (1, 3, 3) and the line of intersection of the planes - 2x - 3y -…

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Q: How are you getting a negative for a and where is the equation coming from for b?

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Q: Evaluate the surface integral parametric equation 1₁26 2y dA= [₁² H 2y dA where H is the helicoid…

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Q: Just as there are simultaneous algebraic equations (where a pair of numbers have to satisfy a pair…

A: Given data:- Pair of differential equation, y1'=y2y2'=-y1 Pairs of function, (A); y1=sinx+cosx &…

Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 5…

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Q: Find the limit. (If an answer does not exist, enter DNE.) 4(x + Ax) - 4x Ax lim Ax-0 I

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Q: III. Find the differential equation by eliminating the arbitrary constant/s. 1. y-¹ = x(3e* + c)

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Q: Compute the definite integral. ? 0 6ex sin(x) dx

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Q: Given the functions f(x)=x²-3x+2 and g(x)=8-2x, write the integral to find the area of the region…

A: f(x)=x2-3x+2 g(x)=8-2x First of all, we have to write the functions in terms of y. Consider the…

Q: Make a table of values for the equation. y = 9- |x| X -4 -2 2 4 у Sketch a graph of the equation.

A: To make a table of values for the equation. y=9-x   x y -4   -2   0   2   4   To…

Q: Let f(x)=10-3x². Find the average rate of change of f(x) on each of the following intervals. (S…

A: Function

Q: D The graph of the function h is shown. 3 2.5 2 1.5 1 0.5 O -0.5 -1 -1.5 -25 -5 -4 The limit is…

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Q: If (0,4) and (1,6) are critical points of y=a+bc+cx³, find the valur of c. A. 1 B. C C. -1 D. -2

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Q: Prove that tan'z= leto 1/2 in (1+2) tan't z • tanw=Z Z = Sinw cosw

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Q: Solve the diff eq. (Homogenous) y' = ysecx

A: The given equation is: y'=ysec x⇒dydx=y sec x⇒dyy=sec x dx

Q: Can someone explain tangent for more as well as limits. *all of this within calculus *

A: Please see the below picture for detailed solution.

Q: Consider the following. f(x) = (fog)(x) = X # (a) Find the function (fog)(x). I Find the domain of…

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Q: Find the center and radius of the circle. (x + 3)² + (y - 5)² = 36 center (x, y) = radius Sketch the…

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Q: Given that lim f(x) = 1 lim g(x) = −4 lim h(x) = 0, find the limits, if they exist. (If an answer…

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Q: 6 - 7- E= {x|x F = {x|x is G = {X/X {시 the whose name is Country American Continent. is the one of…

A: Using set theory concept.

Q: Find the missing element in the sample space S = {x|x³x² - 17x - 15 = 0} where S = {-3,-1,__}.

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Q: Find an equation of the plane passing through (0,-1,3) that is orthogonal to the planes 3x+4y-2z=0…

A: Let's find equation of the plane.