Find a line that is parallel to the line that passes through both P and Q and contains R.

Q: derivative of y = e(sin⁡x) − sin⁡(ex)8

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Q: дz For z = x² + xy³; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 dv

A: Let's solve given derivative functions.

Q: 149. Determine the real number a such that vectors a = 2i +3j and b=9i+aj are orthogonal.

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Q: Give the complete solution Find the derivative of f(x) = 5x6 - sec-1(x2)

A: Complete solution is given.

Q: which is TR

A: We have to choose the correct option from the given options according to the given information

Q: O C. Z= (sin O D. Z= (cos + i cos Write the complex number 9-9√3 i in exponential form. z= (Simplify…

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Q: Kindly answer the question and provide a clear and correct solution. If I still get wrong…

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Q: If f'(x) > 0 at x = c, f(x) at x = c is

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Q: C. length x, width = D. length = 2x, width - [Select] da = 24 = 24 V What is the appropriate…

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Q: ¹In(1+x) -dx 0 X

A: Expand log series

Q: Determine the derivative of the function g(x) = 3x + 4 / 74x. Do not simplify your answer.

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Q: Gi‎ven: ∫ 40∫ 4−z0∫ 2√y f (x, y, z) dx dy dz a. Sk‎etch the so‎lid of integr‎ation of the give‎n…

A: Let's solve.  1.   Sketch the solid.

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

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Q: e dx + (2y + xe") dy = 0

A: Given ey dx+2y+xey dy=0 Here M=ey and N=2y+xey ∂M∂y=ey  , ∂N∂x=ey Therefore,   ∂M∂y=∂N∂x is exact…

Q: Solve Zxy and Zyx when Z=2xy³ – 3x²y²

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Q: Find the maximum and minimum values of the function g(0) = 56 Minimum value = Maximum value

A: Here we have to find the maximum and minimum values of the function gθ=5θ-8sin(θ) on the interval…

Q: The function f(x) = 2x³ − 42x² + 270x – 4 has two critical numbers. The smaller one is x = and the…

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Q: 27. Given f(x)= F(D)=2 (X+) (x-1) A. I only B. II only x² -1 2 6 x #1 x = 1 I. II. III. e shituse…

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Q: Given the properties of the natural numbers N and integers N (i) m, n € Z➡➡m+n, m-n, mn € Z (ii) If…

A: We are allow to solve one question at a time. If you need rest of answer then upload separately.…

Q: Find a vector equation for the plane that contains the points P, Q and R Find a scalar equation for…

A: Given points: P(2,1,1),Q(0,4,1),R(−2,1,4) and S(1,5,−4) Equation of a plane in cartesian form…

Q: State the most appropriate technique of integration for this problem, then evaluate the integral

A: Use integration by parts  for solving this integral

Q: he function f(x) - 2x³ 30x²+144x + 6 has one cal minimum and one local maximum. Use a graph of the…

A: Please refer to the image below

Q: Problem 4. (. Let C be the curve given by parametric equations x(t) = t², y(t) = 2t, z(t) = lnt, t€…

A: To find equation of tangent line and then arc length of thegivencurve.

Q: DIFFERENTIAL EQUATIONS (Please answer ASAP. Solutions only. No long explanation needed. Rate will be…

A: To solve the differential equation.

Q: 1. Prove the linearity principle (the homogeneous case). That is, if yn (t) is a solution of the…

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Q: The derivative of f(x) with respect to x is the function f'(x) and is defined as f'(x) = lim 0…

A: The given equation of the curve y=x2+6x+2

Q: The set S = [1,3] is not./compact. Which open cover of S 9.) {[1,3 + ¼/n) I nεN } b.) { C1-1/n,…

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Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population…

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Q: The derivative of f(x) with respect to x is the function f'(x) and is defined as f'(x) = lim 0…

A: To find f(x+h) replace x by x+h in f(x).

Q: Find the force on one side of a plate bounded by x = y² and x = 2 - y² which is submerged vertically…

A: Given the plate is bounded by x = y2 and x = 2 - y2 and the plate is vertically submerged such that…

Q: con 2. 體 + dt +13y = 3sin(2t)

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Q: F Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

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Q: Set up the double integral that will find the volume of a solid bounded by z = 1-y²-2² and the ry-…

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Q: дz For z = x² + xy³ ; x = uv² + w², y = u + vew, find when u = 2, v = 1, and w=0 Əw

A: z=x2xy3, x=uv2+w2, y=u+ve2at u=2, v=1 and w=0, x=2×12+0=2y=2+1e0=2

Q: Solve the following using the inverse matrix method: (Show your solution) 13 3x + 2y 5 x + 4y 5x + y…

A: As per bartleby guidelines we only give first question answers.

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: The given curves are; x+y=5, y=0, x=0   So, the bounded region is as shown below.   Apply the disk…

Q: Q3: Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

A: Given problem:- Find the area of the region bounded by the curve y = x3 and the lines y = - x, y = 1

Q: (2xy-sinx) dx + (x² - cosy) dy = 0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: d the characteristic equation of the matrix by inspection. -4 2 67 -5 0 0 0 60 0 03] e…

A: As we have see that given matrix is upper diagonal matrix and we also now that eigen values of upper…

Q: An inner-city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: topic- application of derivatives

Q: Solve the equation for z = C: i(z - 2i)² = 8 Select one: O a. z E-2, 3 + 4i O b. z € 2,-2 + 4i O C.…

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Q: a) Sdx 5

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Determine the derivative of the function g(x)= 2 / cosx. Do not simplify your answer.

A: Given query is to find the derivative of the expression.

Q: 5x Find the area bounded by the trigonometric curves y=sinx and y=cosx from x=- to x=-₁ 4 (A) 3.667…

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Q: Find the derivative of f (x) = (x8 – 5x) (x² f(x)= + 10x 10).

A: Topic = Derivative

Q: Find the maximum and minimum values of the function ㅠ g(0) 60 7 sin(0) on the interval 0, = Minimum…

A: Use first derivative to sketch curve of function g(theta)

Q: Use double integration to find the volume of the solid bounded = 11 - x. by the cylinder x² + y² =…

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Q: Set up the integral in terms of h(x) that evaluates the shaded area under the curve and evaluate…

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Q: particular

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Q: R, S and T are closed sets implies RnSnT is closed.

A: given