2 (0) IF F(x)= x 'e', Find f'(x) and F (1)

Q: Write an equation for a rational function with: Vertical asymptotes at x = 6 and x = -4 x intercepts…

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Q: 17. What is the amplitude of the graph y = -4sin (x - 2)? The amplitude is units. 4 02 2π K|2

A: Given problem :- 17. What is the amplitude of the graph y = -4sin (x - 2)?

Q: Using the laplace transformation table, evaluate the following, considering any other variable other…

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Q: Find the integral offsec²x dx tan x

A: This is a problem related to integration. based on the general formula and concepts we will answer…

Q: whose equation is y³ + 2xy + x² = 9 Using techniques we have learned in our course, perform the…

A: Given query is to find the derivative and equation of the tangent.

Q: Andrew is an ecologist investigating a pond. He notices that an algal bloom is growing in the pond.…

A: To find out the rate of area.

Q: Find the enclosed area by the curve with equation y = x² - 9 and the X-axis in the region [−1, 2] 24…

A: In this question, we want to evaluate the area of the region enclosed by the curves y=x2-9 and X-…

Q: 3. Find the member of the curve whose slope at any point is and passes through the point (1, 1)

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Q: Find an equation for the plane that is tangent to the surface z = In (x + y²) at the point P(0,1,0).…

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Q: dw For the functions w= -5x² + y², x = cost, and y = sint, express as a function of t, both by using…

A: Given query is to find the Indicated derivative.

Q: 2 4 x + 8 d x (x+2) ³

A: This question is based on definite integral.

Q: Find the equation of the line tangent to 2exy = x + y at the point (2, 0) Write the equation in…

A: Given query is to find the equation of the tangent at given point.

Q: 1. Evaluate the given integral Q. Q 2= 1 L (₂² (x² - y) dy dx Your answer 2. Sketch the region of…

A: In the given problem first we sketch the region of integration for Q and then reverse the order of…

Q: Evaluate the following limits 2x a. limx→>+00 3x²

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Q: Find a formula a, for the n-th term of the following sequence. Assume the series begins at n = 1. 1…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Let f be continuous on [a,b] and differentiable on (a,b). Prove that if f'(x)>0 for all x=(a,b) then…

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Q: 4- у ду dx 2 ху +x = 0

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Q: d. limx→→+∞⁰ 1000 In¹0 X 5 X

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Q: Find the linearization L(x,y) of the function at each point. f(x,y) = x² + y² +1 a. (3,4) b. (0,3)…

A: To find the linearization Lx, y of the function at each point.fx, y=x2+y2+1 a 3, 4b 0, 3

Q: 9. Find the family of the curve whose slope at any point is √x + √√x and also the member which…

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Q: Drogon (The dragon) wants to fly to an island which is 1200 km away at a heading of [N42°W]. There…

A: We have to draw the diagram and time required.

Q: Find the inverse of the function on the given domain. f(x) = (x-5)^2, [5,00) f-1(x): =

A: The solution is given in the next step.

Q: Find the total area of the shaded regions. ← Ay 55- 50- 45- 40- 25 35- 30 30- .. 25 20 20- 15 15- 10…

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Q: Find L(e³t cos 2t) Your answer with CamScanner

A: A detailed solution is given below.

Q: 5. y" + 8y + 16y = 0

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Q: 4. Evaluate the following limits. a. lim X→→→+** 2x 3x² b. lim c. lim -3/x X In5 x x²

A: This is a problem related to limit calculation. Based on the general formula and concepts we will…

Q: dy Assuming - 2x³ + 8y² + 6xy = 0 defines y as a differentiable function of x, use the theorem dx dy…

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Q: M8 1 Σ n=1 h n’ + 8 +8 3

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Q: 1) Determine the projection of a= [5, -4, 8] onto b = [3, 7, 6].

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Q: dy dx X2 (1+y2)

A: Let's solve given diffrential equation.

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

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Q: Determine el valor de a € tal que: 8 et 12x = f -dx = e 2x a +1

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Q: e) Evaluate the following limit at infinity and show your work. 3x3-4x a) lim x→∞ x²-2x³

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Q: How many combinations can be made from ♣, ♠, ♦, and ♥ if taken a) four at a time? b) three at a…

A: solution:-♣, ♠, ♦, and ♥  are four different itemswe know that  combination is the selection of…

Q: 4x²8x + 5 on the interval [0, 5] by comparing values at the Find the minimum and maximum values of…

A: topic- application of derivatives

Q: Solve the boundary value problem y" + 4y' + 13y = 0 y(0) = 0 y'(pi/2) = 0

A: To solve the given differential equation

Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

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Q: a. f(x) = (x² − 9) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In how many ways can a committee of 5 people be chosen out of 9 people?

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Q: Consider the letters A, B, C, D, E, F, and G. give the number of different arrangements or…

A: Here given that 7 different latter    Now the 1 latter can be arrange any of 7 letters  Choice of 1…

Q: 7x Find the linearization L(x,y) of the function f(x,y) = e cos (9y) at the points (0,0) and 0, ¹2…

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Q: 3 1 L₁ dz -3 (x+2) ³0 Compute the integral:

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Q: 1 1 So (²₁-2²-₂) dx xx+1 x+2.

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Q: дz дz Suppose z is a function of r and y and tan(√x + y) = e²². Determine and 3x ду

A: given function tanx+y=ez2

Q: These are separate quesitons

A: a) At x = 2, f(2) lies in the fourth quadrant where y is negative. So f(2) is negativeb) From the…

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: Question- Assuming that the equation below defines y as a differentiable function of x, find the…

Q: A parabola has an equation of y-32= 0. Compute for the surface area of the solid generated by…

A: Given: y=3x12 At y=0, x=0 The surface area of the surface of revolution formed by revolving the…

Q: A rectangular swimming pool is 42 ft wide by 75 ft long. The table gives depths (d) from x = 0 at…

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Q: We Th Fr Sa Su Evaluate the Integral 4x dx e4x +1

A: Solution of given question is written in below steps.

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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