4 '2 If f is continuous and f(x) dx = 10, find | F(2x) dx. %3D

Q: Find the particular solution of the following ODE given that y(0)=0 and y '(0)=0: d'y +y=e* dx

A: A Particular solution of the differential equation is a solution of the form y= f(x) , which don't…

Q: In Exercises 1-3, find the general solution of the differential equation specified. dy 3. 2t 1+ 124…

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Q: x2 - 4ху- 2у2-2 %3D0 4xy to

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin () h(2) = L, (cos…

A: Use part I of the Fundamental Theorem of Calculus to find the derivative of

Q: 4 1 3 4 5 Let A = 1 - 5 %3D -1 1 2 –5 -2 Compute: 6A + B

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Q: Find an equation for the hyperbola with vertices (+8,0) and foci (+10,0).

A: Here we have to find the equation of the hyperbola with vertices ±8,0 and foci ±10,0

Q: 3. Let f(r, y) =r sin ry. (a) fa(1,9) (b) fy(r, y)

A: Given: f(x,y)=xsinxy

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

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Q: Find the equation of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form…

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Q: Find f"(0) for the function f(x) = (x+1)e².

A: Given query is to find the Indicated derivative

Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

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Q: 1 The series k=1 10n converges. True False

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Q: ¤(x+4)~²dx

A: Here we have to find the given indefinite integrals.

Q: Q10. For the function f(x, y) = x³e³y_find the maximum value of its directional derivative at the…

A: Here, f(x,y)=x3e3y⇒∇f=∂f∂x,∂f∂y=3x2e3y,3x3e3y⇒∇f(1,0)=3(1)e0,3(1)e0=(3,3)

Q: Find the first and the second order partial derivatives of the following functions.

A: Explained below

Q: The difference between f'(3) and f'(x) is that f'(3) is a numerical value and f'(x) is a function of…

A: Explanation of the answer is as follows

Q: Determine whether the following statement is true or false. If y = f(u)and u = g(x), then = f'(x) ·…

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Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

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Q: 9. Find the sum. (a) 22 32 23 33 29 34 310 (b) 1 + 2/2 23/2 11 1/2 1.

A: b)1+1212+12+1232+.........

Q: Find the producers' surplus at a price level of p = $59 for the price-supply equation below. p= S(x)…

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Q: Determine whether the geometric series is convergent or divergent. If it converges, find its sum. 80…

A: Geometric Series : (3/4)0 + (3/4)1 + (3/4)2 + (3/4)3 + (3/4)4 + ........... 1 + 3/4 + 9/16 + 27/64 +…

Q: 6x + 10 if a -2 4. first third second

A: Explanation of the answer is as follows

Q: Find and sketch the domain for the function. f(x.y) = In (x? + y? - 4)

A: We can solve this as follows:

Q: From Rogawski ET 2e section 10.5, exercise 7. Apply the Ratio Test to determine convergence or…

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Q: Find all exact solutions on [0, 2?). (Enter your answers as a comma-separated list.) 2 tan2(t) =…

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Q: Consider the ellipse 64x + 289y + 384x + 1156y - 16764 = 0 What are the foci of the ellipse? Enter…

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Q: اسدمل Find the akeaf fak the faltowing regions Area enclosed by the diagram V= Sin 3

A: Area

Q: Question Use the third Maclaurin polynomial for f(x) = e" to estimate e. Round your answer to four…

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Q: Given two points P1(0,2,-1) and P2(2,0,-1), find the perpendicular distance from the point P3(3, 3,…

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Q: 3. Let f(r, y) = I sin ry. Find: %3D (a) fa(1,9) (b) fy(r, y) (c) fyy(I, y) (d) fyz(I, y)

A: Given,            fx,y=xsinxy

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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Q: f(x) - 3x- 10 X-4 a) Determine symmetry near the asymptotes and asymp totesand behaviour of fo) b)…

A: If f'(x) >0 then f(x) is increase and if f'(x) <0 then f(x) is decrease.

Q: Evaluate the indefinite integral. Sa V1 – x? daæ - cos° 0 – cos' 0 +C } (1 – a²)%/2 – }(1 – 2²)/² +…

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Q: (Drag and drop the missing words) is the of a definite integral as an endpoint of the interval of…

A: Answer is in below step.

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

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Q: 1. List the intervals where f is increasing. 2. List the intervals where f is decreasing. 3. List…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: 4. Find the absolute extrema of the function f(r, y) = ry-I-3y on with vertices (0,0), (0, 4), and…

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Q: Use your calculator to estimate the arc length of y = x“ over the interval [1, 2]. -5 (2, 4) (1, 1)…

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Q: 16 In general conic form, what is the equation of the circle whose center is at the origin and…

A: The general equation of the circel with center (h,k) and the radius r is given by:…

Q: #2. Determine if the function g(x)-3x+5x is even, odd, or neither (a) using algebraic approach, (b)…

A: Odd even function

Q: Compute ||A|| ||A|l, and ||A|l 2 8 A = 35 %3D

A: Given

Q: Use differentiation to find a power series representation for n=1 1 (5+ x)2

A: We have to find the power series expansion of the above equation.

Q: consider the point (-3,-3) in rectangular coordinates.  give 2 different ways to represent the…

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Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

Q: Find an equation of the plane. The plane through the point (7, 8, 1) and with normal vector 3i +j -…

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Q: The slope of the surface z = ry in the r-direction at the point (2,3) is slope of this surface in…

A: Follow the procedure given below.

Q: 240 2 s7 17(s-1)8

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Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 3z = 6. Need Help? Read…

A: Given query is to find the attached cosine angle between the planes.

Q: (-1)"n²n! 2n n=1 IM³

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Q: dy Suppose 2e-2r and y(1) = 4. dx What is y(2)? O 3.117 O 3.567 O 4.117 O 4.135

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