1. Write the equation with the smallest possible shift for: a) a positive sine function b) a negative cosine function e) State the amplitude, period, maximum, minimum, phase shift, and vertical translation. 34 3 f 2 3 म 2 NJA 2 4 2 () + BIN

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A: Given :   A semi-circle is placed on top of a rectangle such that the diameter of the semi-circle…

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A: Given

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A: Note: As per our company guidelines we are supposed to answer the first question. Kindly ask the…

Q: 2 So Adx 4-x

A: We can find the answer as below.

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Q: 2

A: We will solve the problem

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A: This question is related to partial differentiation, We will solve it using given information.

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Q: 3. Integral Riemann Use the Left Riemann and Right Riemann Integral to find the approximate of (2x³…

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Q: sin² x + cos²x sin² X -dx

A: NOTE: Refresh your page if you can't see any equations. . the given integration is

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Q: 2. Find the differential equations by eliminating the arbitrary constants of a) y = C₁x + 2² b) y ex…

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A: This is a problem related to derivative of the function. Based on the general formula and concept we…

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Q: In 8 thy ể dxdy.... ****** Ans: 2 e. *******

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Q: 4. The point (0.422,-0.907) lies at the intersection of the unit circle and the terminal arm of an…

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Q: 0,4) A B) 3 C) 5 D 23 5 गज 2 C 11 A - x² 3 (3,-5)

A: Topic:- application of integration

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Q: Find the intervals on which the function is continuous. 4 y = (x+4)2+8 O a. (-∞, 24), (24, ∞) O b.…

A: Given query is to find the interval where function is continuous.

Q: d- Find the local maxima point and Saddle point for f(x, y) = x³ + 3xy + y³ Find the dy nt (11) for…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. The graph of y=sin z is transformed so that the transformed image has a period of 4m and a phase…

A: Given problem:- The graph of y = sin x is transformed so that the transformed image has a period of…

Q: 11. Ay≈ f'(x) dx III. y2y₁ f'(x) dx - Oll O III O None of the choices OI

A: Using definition of derivative

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A: Topic:- application of integration

Q: (5)  Please explain in words how a student would determine the normal vector to the direction vector…

A: explanation of determination of normal vector are as follows

Q: A rate of change of H is given by Solve for k where H> -25. O 0.458 0.346 0.255 0.144 ап = k (25 +…

A: This question can be solved using the concept of differential equation.

Q: 11. Find the standard form of the equation of the ellipse with: Vertices: (0, 15); Passes through…

A: 11) Given that the vertices 0,±5, which are on the y-axis and passing through the point 4,2  Since…

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Q: 9. fif broken into partial fractions falls under a. distinct, linear factors b. repeated linear,…

A: You must have idea about basic algebra and partial fraction decomposition to under this better.

Q: Find the centroid of area of region n bounded by 2 y² = x, y² x - 2 8 Answer: (1/11/12) 号 ) 5

A: Concept: Centroid: The coordinates of the centroid are represented as (x¯,y¯) The coordinates of the…

Q: redz S Find (1+2)² Itse DOCE 14e² +C +C +C +C

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A: We know that integration of xn  is- xn+1/n+1 + C . Here C is integral cosntant.   Here i attached…

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Q: Use the table of integrals to evaluate the integral. (Remember to use absolute values where…

A: ∫3 sec5(x) dx=3∫sec5(x) dxApply reduction formula: ∫secn(x) dx=n-2n-1∫secn-2(x) dx+secn-2(x)…

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A: We have to find the area between the curves.

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A: answer is in next step . please give a like !!

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Q: INFINITE SERIES H.W 1. Test the convergence and divergence of the following series, find the sum of…

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Q: Using laplace transforms solve for x and y: dx dy + + 5x + 3y = e-t dt dt dx dy 2 + +x+y = 3 dt dt…

A: Laplace transform of (i) Ldxdt=sX(s)-x(0),  Ldydt=sY(s)-y(0)(ii) Le-t=1s+1