H.W/ Maximize QuiZ 1/ 2= 80×1+ 60 X ₂ X₁ + X₂ 15 100. subj to: + X₂ 15 150 X₁ + 10X₂ If Boo الاحدا

Q: show x on left side Inverte COAS Isolate x. For answer, show X on 2 (x-3) - x ≤ 10x + 5

A: Solve tye given equation  for x

Q: If what does the following integral equal? 4 19 q(s)ds = [ q(s)ds = 13 and La q(s)ds = 10.7

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Q: dy dx cos(x + y) = 3x Find dy dx dy dx dy dx dy dx = = -3 csc (x + y) - 1 = -3 cos(x + y) - 1 = −3…

A: we need to find out the derivative.

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Q: Find the surface area of the part of the plane 2x+5y+z=4 that lies inside the cylinder x^2+y^2=1.…

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Q: Consider the following differential equation to be solved by the method of unde y" + 2y = -18x²e2x…

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Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

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Q: Let g(x)-3x³-20x² Find the relative maximum and minimum values of g. Also find the intervals on…

A: The given function is

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Q: Solve 2(cos2x)y' + ysin(2x) = 4cos4x 0 =< x < pi/2

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Q: Solve the following non-homogeneous differential equations: x" (t) + x(t) = 2 cost 1) -X 2) y"+2y+y…

A: The given differential equation is; x2y''-2xy'+2y=xlnx

Q: 5. Let f(x, y, z) = x²e + ay³ + az + 115. Find fyzz (b) Find 8³1 əxəydy'

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Q: b) Consider the triangle formed by the side of the house, ladder, and the ground. Find the rate at…

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Q: 1 Ifh (r) = e*, then h' (r) =? 04 x O(z) = _ r2

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z = 2xe…

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Q: Use the function f(x)=x^2-6x+13 to answer how to algebraically find the vertex.

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Q: What values of a and b make the function f continuous everywhere? x² 4 a = f(x) = and b = - " X 2…

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Q: Suppose that P(t) (with t in months), the fish population in a lake contaminated by chemicals,…

A: Given Differential equation as follows

Q: Use a linear approximation (or differentials) to estimate the given number sqrt(99.2)

A: SolutionLet f(x)=√x and use the linearization at a=100

Q: an = 2n + 5 245) 4n+1

A: First, let's consider the limit of the sequence as n approaches…

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4+x² - y2…

A: The given function  and region R

Q: Evaluate the following limit. lim x→0 3 (²2 x 3 sin(2))

A: L=limx→0(3x−3sin⁡(x))

Q: 16. x1 + 3x2 +4x3 = 0 3x1 + 8x2 + 7x3 = 0

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

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Q: 9. If f(x)=x²-2x+7, evaluate each of the following

A: The given function is To find:-

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Q: =D x. 19

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Q: 1. Using the fundamental theorem of calculus part 1, along with properties of the definite integral…

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Q: 2. There is a circle whose radius r is changing with time t. We are interested in the area A of a…

A: Given:To Find:  (a)  To find the initial area of the sector.(b) To determine the rate of change of…

Q: Show that the function y= x ln x is a solution of the differential equation xy" - y' + (1/x) y = 0.

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Q: Evaluate the following integral using integration by parts. √x20 In x dx

A: I=∫x20ln⁡xdx

Q: Given that f(x)=√√16-x² and g(x)=x+4, what is the rule and domain for (+)(x)₂ Only one item from the…

A: Given,

Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 5; zeros: 1;…

A: Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree 5 ; zeros: 1…

Q: ii) Read the graph below and say whether limx→-3 f(x) exists: y=h(x) -9-8-7-6-5-4-3-2 9876 8+ 7+…

A: This is question of calculusHere graph is given We have to find limit of function.Further…

Q: Determine the horizontal asymptote of the graph of the function. x3 - 5x2 +x-2 x²-20 f(x)=- Select…

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Q: Evaluate the indefinite integral. 0+ +C 54 sin x COS X dx

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Q: Calculate the L4 approximation for f(x) = cos² x on TU I 4 2

A: The left Riemann sum∫abf(x)dx≈Δx(f(x0)+f(x1)+f(x2)+⋯+f(xn−2)+f(xn−1))Δx=b−an

Q: ∞ Σ7(-0.8) is an alternating geometric series, which k=0 diverges converges. Σ7(-0.8) k - k=0 Enter…

A: To determine whether the alternating geometric series diverges or converges.

Q: Evaluate the integral. +C 2x + 9 x² + 6x +34 17 -da

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Q: Consider the following. {-x³ +3, -x² + 4x, x≤0 x > 0 Find the critical numbers. (Hint: Check for…

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Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x - 5 on the domain x2 +…

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Q: Find the area of the shaded region. -1.0 -0.5 y 8 6 y=3e 4 2 0.5 (1, 3e) y=3xet² 1.0 1.5 2.0 X +

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Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: Find f'(x) if f(x)=(5x-1)². f'(x) =

A: we need to find out the derivative of the given function.

Q: 5 Determine the difference quotient for the function f(x) = 2x-1.

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: Consider the curve

Q: Labor. Refer to Table 4. (A) Find the average rate of change of weekly hours from 1980 to 1990.…

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Q: For a standard normal distribution, find: P(-1.29 Z-1.07)

A: The given probability .The aim is to find the value of the probability using the standard normal…

Q: Sketch the level curves of the function corresponding to each value of z. f(x, y) = 4x + 6y; z = -2,…

A: Consider the function