3 g-¹(x) = = (Write your inverse function in terms of the independent variable x.) Find the inverse function of g(x) = = √I+6 5-√√√I If the function is not invertible, enter NONE

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: 8. Calculate the following limits. In z lim → 2²-1 (b) [ 1³-1³ 0 e + cos2-1-2 lim

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Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

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Q: z²i+xzj+ye² of the sphere x² + y² + z² Given F = 2 [[ S 50 that lies inside the cone z = √x² + y²…

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Q: What will go wrong if we choose u = x²? Notice: in that case, we will also be choosing du = ln x dx.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Show that the function f(x,y) = 8x²y subject to 3x - y = 9 does not have an absolute minimum or…

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Q: Kindly answer this as soon as possible -Divide 20 into two parts, such that the sum of four times…

A: Use result - Function attain it's minima where derivative of the function is zero

Q: Question 28 to determine the instantaneous rate of change of 3, to the nearest tenth.…

A: Explanation of the answer is as follows

Q: You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes, 6.5…

A: Given ,  You go to the doctor and he gives you 14 milligrams of radioactive dye. After 12 minutes,…

Q: Solve the given differential equation by undetermined coefficients. y" - 8y' + 16y = 12x + 6 y(x) =

A: The given differential equation is;  y''-8y'+16y=12x+6.

Q: Match the differential equations and the description/s that is/ are true to the differential…

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Q: This question has several parts that must be completed sequentially. If you skip a part of the…

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Q: For the function f(x,y,z) = x rr fy 11 he e = 11 f₂ = N fyz 10 8z+1 -9 8z+1 (9y-10x)8 (8z+1)² 11 72…

A: The given function is;  f(x,y,z)=(10x-9y) /(8z+1).

Q: (a) Find the averge value of f(x, y) = curves y = 0, y = x², and x = 1. xsin y over the region D…

A: Solution: f(x,y) = xsin(y)

Q: The father has just donated $25,000 to a church. His son would like to donate an equivalent amount,…

A: Given;  Principal =$ 25000 Time = 5 years  Rate = 8.2%.

Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (5,0) Vg(5,0) eBook

A: We can find the gradient as below.

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Q: G 2. x²y" + 3y' - xy = 0

A: We need to determine singular points of D.E.

Q: Write the expression in algebraic form. [Hint: Sketch a right triangle, as demonstrated In Example…

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Q: 2. Find lim (√x + 2 = √2).

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Q: el For the function z = f(x,y) = - 4x³ -6y² - 7xy, find t V ne ON dz dx dz 3x forr || f(-5,4)=…

A: The given function is: z=fx,y=-4x3-6y2-7xy   As we know that; The Power Law: ddxxn=nxn-1

Q: 2. Set up, but do not evaluate, the integral which gives the volume when the region bounded by the…

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Q: The graph below is the function f(x) t lim →-3 lim I-3+ lim 5+ 4 → 3 N WA -3 -2 -1 -1 3 2 Find the…

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Q: Given F(x, y, z) = ei + (xe + e*)j + ye² k. (a) Show that F is conservative by finding curl F. (b)…

A: use the fundamental theorem of calculus and partial derivative for finding the line integral.

Q: 2. Consider finding the root of f(x) = e*(3.2 sin(x) - 0.5 cos(x)) on the interval [3, 4], this time…

A: Concept: Bisection method: To determine the roots of a polynomial problem, utilize the bisection…

Q: 2 Solve the following ODES by Inverse Operator method. 1.2 y - 2y +y = e sinx "LI X Xx Ans:…

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Q: Given the function f(x, y) = e5-2x+3y, approximate f(4.1, 0.9) using point (4,1) for (xo, yo). What…

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Q: 1 g(x)= {x-1 if x > 0 |x² −1 if x≤0

A: The given function, gx=1x-1if x&gt;0x2-1if x≤0

Q: Let R be the region below the curve y = 4x², to the left of above the x-axis. Find the centroid of…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: We are asked to find the diminishing returns of the point.

Q: 14) At what point on the graph of f(x) = instantaneous rate of change? a. x=8, x=2 b. x = 4 2009-2…

A: Given fx=x-8x-2x-4

Q: The profit from the supply of a certain commodity is modeled as P(q) = 30 + 50 In(q) thousand…

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Q: Write an equation for the function graphed below -7 6 5 4 -3 -2 y= 50 on it'st 72 3 Q

A: Topic = Functions

Q: 3. The Downhill Ski Club is organizing a ski trip. Group tickets for the ski trip are priced at $20…

A: Given Price of ticket for first 100 skiers = $20 Discount in the price of ticket for skiers over 100…

Q: √2 cos x csc x=2 cos x

A: 2cosxcscx=2cosx

Q: Write an equation for the function graphed below 13- 12- 1 - 5+ ++ -7 -6 -5 -4 -3 -2 -2 1-1 HE A 1 2…

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y)=…

A: Given :Lx,y=32x2+y2-3x-6y-2xy+101

Q: at ch Use the Fundamental Theorem to show that the following is true. a f b C b [ f(x) dx = ff(x)dx…

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Q: 4. S 1 x²√√x²+4 dx

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Q: Find the extreme values of the function and where they occur. 7x X + 1 y= 2 OA. The minimum value is…

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Q: Use the binomial series (x + 1)k = 1+ kx + for x < 1 to approximate (² Xx k(k − 1) 2! X- + k(k −…

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Q: A circle starts out with a radius of 1cm. (at time t = 0) and begins growing. The area of the circle…

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Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y' + 2y = Step 1 We are…

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: 11) The inequality 3x-2 0 3x² - 9x x-2 d. <0

A: Given, 3x-2&lt;x+4x-2

Q: At what speed should a fish swim upstream so as to reach its destination with the least expenditure…

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Q: Find the area between the curves. 1/5 6/5 y=x, y = 4x ... The area between the curves is (Do not…

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Q: Find a parabolic curve that would fit the following data. Let  y = a + bx + cx2. x      3    5…

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Q: Evaluate the line integral y = x² from (-1, 1) to (1, 1) and the line segment from (1, 1) to (−1,…

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Q: Suppose that the graph below is the graph of f '(x), the derivative of f(x). Find the open intervals…

A: To find the inflection point.