EX Find the area of the s had ed of fig show belwo usetng dxdy X=-1 DZ D3

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A: find equation of tangent line

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A: Topic:- calculus

Q: 1. What is the sum of the measures of the interior angles of an octagon?

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

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Q: find solutions of these differential equations: a. (xy^2 + y − x)dx + x(xy + 1)dy = 0

A: Given differential equation is (xy2+y-x)dx+x(xy+1)dy=0 Find the general solution of the DE

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A: Given     investment=$30000 Time (t)=9yeays Rate (r)=7% Here compound annually so  A1=P(1+r/100)^t P...

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Determine if lim f (x) = f(c). Write YES if limf(x) = f(c), otherwise NO. Show your proof 1. f(x) = ...

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: Using the given graph, identify the limit of the following. -8 -7 -6 -5 -3 3 -2 -5 -6 1. lim f(x) X-...

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Q: 2. Find the intervals on which f are: (i) Increasing and decreasing. (ii) Concave up and concave dow...

A: The function is  f(x)=sin2 2x

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A: Basic identity of integration and equation of line are used.

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Q: dt t/ 12 1r² – 16

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Q: hree different forces act on an object. They are: 1 ind the net force Fnet on the object (the sum...

A: Given query is to find the indicated vectors.

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: 2.) f(x) = x* – 2x² + 3

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Q: Derivatives (Show your solution) 1. Find Ay and Ay/Ax given (a) y = 2x +1 and x changes from 3.3 to ...

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Q: For vectors ā = (2,4,-1), b =(-1,3,2), calculate the vector projection of b on ā. %3D

A:  Vector projection of b→on a→=(a→.b→)a→Consider  a→.b→=(2×(-1))+(4×3)+((-1)×2)                      ...

Q: Differentiate. Simplify the answer. F(x) = 1+ xex

A: This question can be solved by applying the quotient rule of differentiation

Q: (5- 4x2 dx 3 + 2X 4,

A: We can find the integral as below.

Q: lim v2x +3x –4- V2x² –4

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Q: Linear Differential Equations у'+ P(x)у %3D f(х), eS poydxy + eS pxdx p(x)y = el PCx»dx f(x), d p(x)...

A: Here we have to solve the given differential equation,  y'-xy=x,   y(0)=3

Q: f(x+h)- f(x) = -h/(x+h+3) (x+3) compute and simplify f(x+h) -f(x)/h

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Q: Business Mathematics a) Solve for x and y. 3x-8y=7                                                ...

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Q: 10) 3 (sin y-cos y)*dy COS COS Y

A: A detailed solution is given below

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Q: Evaluate the integral using formula #33 (from the 1-page differentiation & integration fom dx tan - ...

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Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* – x)dy = 0

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. ^2 cy? yz dx dz dy DNE -90 J-60

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Q: The limit below represents the derivative of some function f(x) at some number a. 10 sin(2 + h) – 10...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: f (x) = D윽과+1

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Q: y’ = 3x^2e-y   solve

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Q: . h(x)= cot 1 -tanx

A: Given:hx=cot-11x-tan-1x

Q: Evaluate the following integrals. 1 dx x²Vx2 – 9 3

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Q: 1. Let the curve C be traced by the vector-valued function R(t) = (cos(zt), nt, sin(at)) a. Find the...

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Q: 2 x´ + 8)(6y – 1) = 0 find the third derivative

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Q: Activity 2. Evaluate the following limits by applying the different Limit Theorems discussed. 4. lim...

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Q: Determine the coefficient of the 5th term of the Maclaurin series expansion of f (x) = 2 e 4! 51

A: f(x) = x2 e-x f0(x) = x2 e-x f0(0) = 0 f1(x) = -x2 e-x+ 2x e-x f1(0) = 0 f2(x) =(x2 -4x+2) e-x f2(0)...

Q: Consider the function B(x) = xª (1 – x)* on 0 0. Absolute Maximum value (Hint: Your answer may depe...

A: B(x) = xa (1-x)b  B'(x) = xa ddx[(1-x)b] + (1-x)b ddx(xa)B'(x) = -xa b(1-x)b-1 + (1-x)b axa-1B'(x) =...

Q: Find the surface area of the tetrahedron bounded by the coordinate planes and the plane 8x + 12y + 4...

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