Which are the foci of the ellipse represented by 25x² + 16y² = 400?

Q: f(x) =  4x x − 2 where h ≠ 0 f(a + h) − f(a) h  =????

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Q: 2. Find the equation of the tangent to the functions g(x) = (x −4)² at its y-int. You must use an…

A: Solution:

Q: Find the indefinite integral. S Step 1 / sin sin³ 70 √ cos 70 de To solve the integral Therefore,…

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Q: 1 1 0.104 = x Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) =…

A: Solution : Given that

Q: C: boundary of the region lying between the graphs of y = 0, y = √x, and x = 9

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Q: Find the value of the constant k so that the differential equation (e-9 + cos x + kxy)y' = y(y + sin…

A: Using the fact that an exact differential if dM/dy=dN/dx

Q: solving

A: Please refer to the image below

Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t 2 0. Then…

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A: The given function is: fx=x2-3x-18   As we know that; To calculate the x-intercept, we need to solve…

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A: Here, the given function is: f(x)=y=x9-9x

Q: If {an} and {bn} are divergent, then {anbn} is divergent.

A: Given; (an) and (bn) are divergent.

Q: Find div F and curl F if F(x, y, z) = 10e²y i − 4 cos y j + sin² z k.

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Q: Describe the graph of the equation. r = 18 sin 3ti - 18 cos 3t j O It is a circle of radius 18 in…

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Q: Find div F if F(x, y, z) = (x² + y)i + z² j + (ey - z) k. O 2x - 1 O 2xy - 1 O 2xi-k O 2xy i+ k

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Q: a) Find each derivative. If it does not exist, write DNE. i. \/'(0) b) /'(3) Find lim sin (2x) tan…

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Q: Which is the focus and directrix of the parabola with equation (y + 0.5)² = 4(x - 1)? Focus…

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Q: y = (6 (6+4.x) Use Logarithmic Differentiation to find dy dx dy dx Type sin(x) for sin(x), cos(x)…

A: Given query is to find the derivative.

Q: st, enter DNE.) f(x, y) = x² + y² + 4x 10y6 minimum maximum point (x, y, z) = (x, y, z) = (x, y, z)…

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

A: We have to find solution of the given initial value problem.

Q: 77% 77%

A: Given: F(x,y) = 6i-2j

Q: Set up a double integral that gives the area of the surface of the graph region R. ƒ (x, y) = xª –…

A: Topic:- application of derivatives and integration

Q: Find the value of (2) for a solution (x) to the initial value problem: y" + 4y + 4y = 2x + 6; y(0) =…

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Q: On (-∞, ∞), three functions y₁(x) = cos 2x, y2(x) = sin² x, y3(x) = cos²x are linearly independent…

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Q: ← Screenshot (1913).png + New 0 My Drive Computers Shared with me Recent Starred Trash Storage 7.8…

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Q: Let f(x)=√x - 5. f(3 + h) – f(3) h Then lim h→0 If the limit does not exist enter DNE.

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Q: Consider the following. W = xyz, X = S + 2t, y =s - 2t, z = st² (a) Find aw/as and aw/at by using…

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Q: Use the information given about the angle 0, 0s0s 2x, to find the exact value of each trigonometric…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: DETAILS ZILLDIFFEQMODAP11 4.1.002. The given family of functions is the general solution of the…

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Q: 3 -6 -4 사업 4 2 -2 19 6 ly 2 4 6 8

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Q: Use the function f and the given real number a to find (f ¹)'(a). (Hint: See Example 5. If an answer…

A: Given problem:- Use the function f and the given real number a to find (f-1)'(a).  f(x) = x3 -5, a =…

Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00).…

A: Given :  f1(x)=0  , f2(x)=x , f3(x)=ex   To Check : Given functions are linearly independent or…

Q: Use a surface integral to calculate the area of the disk S given by z = 5 − y that lies inside the…

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Q: Find curl (62 i + 7x j + Sy k). curl (62 i +7x j + 5y k) = (i k )i + (i )j + (

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Q: nd the volume of the solid generated by revolving the region bounded by the given line and curve…

A: Topic:- application of integration

Q: Graph the level curves in the x-y plane the function f(x, y) = 2y- for z = -2,-1, 0, 1, and 2.

A: Given curve f(x,y)=2y-x23

Q: Use Green's Theorem to evaluate the line integral Ico (y - x)dx + (2x - y)dy for the given path. 3π…

A: Solution is given below:

Q: Given: f(t) = 8 sin23t. Evaluate: F(1) Use 2 decimal places.

A: f(t) = 8 sin23t.

Q: Evaluate the definite integral. [²³ sin5(x) dx Step 1 6.² sin5(x) dx, first rewrite the integral. To…

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Q: Find curl(5zi + 6xj + 3yk). curl (5zi + 6xj + 3yk) = (i )k )i + ( i )j + (i

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Q: 3. dy= 2x+y dx x+2y

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Q: Fill in the blank. (Enter your answer in terms of t.) [ L-1) 1 5²-2) =

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Q: Can you present the solution in a different format. I do not understand what the solution is…

A: Let's solve given diffrential integration.

Q: Answer true or false. If L{f(t)} = F(s) and L{g(t)} = G(s), then ¹{F(s) G(s)} = f(t)g(t). O True O…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 ≤ t ≤ 1. [(x + 3x²) dy

A: To evaluate: ∫C(x+3y2)dy...(1) where C is given by x=2t, y=4t⇒dy=4dt and 0≤t≤1

Q: Find the volume of the solid formed by revolving the area bounded by the curve y^2 = (x^3)(1-x) in…

A: Given problem:- Find the volume of the solid formed by revolving the area bounded by the curve y2 =…

Q: -8 -6 -4 19 4 2 19 ∞

A: Graph of the right open parabola is given, we have to find its equation

Q: For an arithmetic sequence, a17 a1 = the sum of the first 65 terms= > Next Question - 47. If the…

A: It is given that, a17=47 and common difference(d)=5 a1=? Sum of the first 65 terms=?

Q: 768 on the interval [-20, -10]. Find the H plute extrema for the function on the given interval.…

A: * As per policy only first question is answered. Please refer to the image below

Q: Find the function M(x, y) such that M (x, 0) = eª and the differential equation M(x, y) dx + (sin x…

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