Make an ORIGINAL EXAMPLE OF "Elimination of Arbitrary Constants (Differential Equations)" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION I WILL UPVOTE IF IT IS ORIGINAL, TYPEWRITTEN, AND MADE WELL.

Q: 1. Evaluate lim h→0 if f(a+h)-f(a) h f(a)= a² - 4a +6 2(a+2) O2(2a-1) O4a-2 2a-4 None of the Choices

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Q: A differentiable function f(x, y) has the property that f(4,3) = 6 and fx (4,3) = 6 and fy(4, 3) =…

A: We need to find z.

Q: Let f(x, y) = (- (x+y))³. Then 02f ?х у ә3f дхдудх ә3f дх2 ду о

A: This question can be solved by the concept of partial derivatives.

Q: 8) (4+8)+16-9+24÷6 10) (2+8)+10² +60÷10 =12

A: Given expression, 8. (4+8)+16-9+24÷6 10. (2+8)+10²+60÷10

Q: Solve the right triangle for the unknown sides and angles. Round values to 1 decimal place if…

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Q: 4. An object is moved along the line from the point (1, 2, 1) into the origin (distance is in…

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Q: Exponential decay. Subsonic flight. The efficiency of the engines of subsonic airplanes depends on…

A: This is a problem related to exponential function. Please follow the procedure given below.

Q: Consider the function f(x) = sinx near x = πt. Find the linear approximation error when using the…

A: Given data:- The given function, f(x)=Sinx     x=π

Q: Find the function y = f(t) passing through the point (0, 10) with the given differential equation.…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: The function is given by y = x3-23x2+4 To determine: The derivative of the function.

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Find the derivative of f(x) = -5x4+7-2x² a.) f'(x) = -20x³-4x-7-2x² b.) f'(x) = -20x³-4x-7-2x² In7…

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Q: Solve the right triangle for the unknown sides and angle. Round values to 1 decimal place if…

A: We can find the answers in the below steps.

Q: Let f(x, y) = (- (x+y))³. Then 82f о дхду 23f дхдудх ә3f 22 || о

A: The given function is   f(x,y) = (-(x+y))5 Find the following values  ∂2f∂x∂y, ∂3f∂x∂y∂x and ∂3f∂x2y…

Q: Evaluate the following integral. S S e 5x e 5x 5x e +6 5x+6 -dx -dx = ***

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Q: 2. Find the Inverse Laplace Transform of the following: L-1 {2+35+13) a.

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Q: Let f(x) = 3√√x If g(x) is the graph of f(x) shifted down 4 units and left 3 units, write a formula…

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Q: 10. S π/2 cos x dx (sin x)√√sin²x-(1/4)

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Q: Problem 5. Find in two ways: (a) (b) (c) S sin 2x dx Using the u-sub u = 2x. Using the identity sin…

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Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient If h = 0, then the…

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Q: Find given the set of parametric equations dy dx x = csc² (at) and y = cot(at), (a) — cot(at) 1 (c)…

A: The objective of the question is determine derivative by help of parametric equations.

Q: Let f(x) = Sx²-5, x≤c 4x9, x>c If f(x) is continuous everywhere, then c =

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Q: 6) Draw the graph of a function f such that f (2) = 3, f (4) = 7, the function is decreasing on the…

A: Given 1. f2=3 2. f4=7 3. Decreasing in the interval -∞, 2 and 4, ∞ 4. Increasing on the interval 2,…

Q: Given the function () below, decompose A(z) into component functions f(x) and g(x) so that A(z) —…

A: We can answer both the question in the below steps.

Q: Find the scalar equation of the line = (-3,4)+1(4,-1)

A: Given query is to find the scalar equation of the line.

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION

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Q: f(x) = b-2x 6 x-b if x < -1 if x ≥ -1. Find the two values of b for which f is a continuous function…

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Q: Calculate all four second-order partial derivatives of f(x, y) = 2x²y + 9xy³. fxx (x, y) fxy (x, y)…

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Q: General solution 1. y = cx+c²+1 2. y² = 4ax 3. y = 4 + ce³x dy dx Answer (ODE) y=xy' + (y)² +1…

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Q: Find the first partial derivatives of the function f(x, y, z) = 3x sin(y-z). 1. 2. 3. af Әх of ду af…

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Q: If (2,7) is on the graph of f(x), write the ordered pair that will be on the graph after the…

A: To find ordered pair that will be on graph after the transformation done.

Q: Find the equation of the tangent plane to the surface determined by at x = 3, y = 4. 2 = 4.4 - x³y²…

A: To find the equation of the tangent plane to the surface determined by x4y4+z-35=0at x=3, y=4.

Q: Use a local linear approximation to approximate the value of 6(1.99)2 +3.02 by a rational number.

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Q: Find an equation of the parabola with vertex (2,-4) and focus (2, -7). 5 믐

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Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A: The given integral is 9ln(x2-x+4).

Q: 4х + Зу For the function h(x,y) = · 3ху -2' əh əh find and дх ду

A: Given query is to find partial derivatives.

Q: Describe a function g(x) in terms of f(x) if the graph of g(x) is obtained by performing the…

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Q: Solve (x5 + 3y) dx - xdy = 0. O 2y = x^5 + cx^3 O 2y = -x^5 + cx^3 O 2x = y^5 + cx^3 O 2x = -y^5 +…

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Q: 778) Solve for A,B,C,...,H in: (5*9i)=A+jB; (81*8i)=C+iD; 18 (4+4i)=E+iF; ans: 8 (5+91) (2+5i)=G+iH.

A: Topic - Complex numbers We are given, (5*9i)=A+jB (8i*8i)=C+iD ;i8(4+4i)=E+iF ;(5+9i)(2+5i)=G+iH and…

Q: Where did the -1/3 come from? Is it because the 3 is the nth root and the 1 is the one inside the…

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Q: A boat is anchored offshore. From the bow of the boat, 36 ft of anchor line is out with 5 ft of line…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: G(r)=3r^3/2 + r^5/2 /r  *differentiate the function How do I approach problems like this? Like…

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Q: π π €). Calculate E 2 d dxsin (x) (x) eta

A: Topic:- application of integration

Q: 5. Given the vector u = [2,6,-3] a) Draw the vector. 78 b) Determine a unit vector collinear with u.…

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Q: Find the area of the region that is enclosed by the card 10+ 10 sin 0. OTE: Enter the exact answer.…

A: Topic:- application of integration

Q: lim Y->+00 In (ett & +4e¯Y)

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Q: 4 ✓ y= √4-x² (Equation of a semi-circle) c) 2 Find the (using calculus). in quadrant I (QI) a) setup…

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Q: Let y = 5 -5 V1 = -2 2 -5 8 6 Compute the distance d from y to the subspace of R¹ spanned by v₁ and…

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Q: Find the third derivative of f(x)=^3sqrt(9x+1)

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