Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below. 3 TO 57 3 2. 3 -2 -3

Q: Based on the figure below, how many regions are involved? * x(t) h(t) -2 -1 1 2 3 4 None of the…

A: This is a problem related to number of regions in the sense number of interval for the given graph.…

Q: 1 0.5 -5 -4 -3 -2 1 2 f -0.차 -1 -1.5 -2 5. Is the function continuous at x = -3? 6. Is the function…

A: topic - continuity of a function

Q: 4. Determine the general equation of the plane containing the points P(1, –4, -5), Q(2,0, 13) and…

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Q: Write the equation of a sine or cosine function to describe the graph. Ty 3 3 3 3 -1+ -2+

A: topic- trigonometric functions

Q: Find Duf at P. f(x, y) = sin(6x – 4y); P(4, 6); 4 3 i u = j JOTE: Enter the exact answer. Duf =

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Q: (2×+5)2xー5 2x -5 3.

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Q: Consider the point P(-2,3) on the coordinate system. Describe geometrically the position vector…

A: Given point P (2,3)

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: From Rogawski ET 2e section 10.2, exercise 34. Use the formula for the sum of a geometric series to…

A: topic - geometric series

Q: Which of the following is an infinite limit? lim f(x) = o lim x→f(x)x=a g(x) = c0 lim f(x) = a %3D…

A: we have to check which of the following is an infinite limit. we say that a limit of a function…

Q: Current Attempt in Progress Let a = ci +jandb = 9i + 45j. Find c so that a and bare orthogonal. c =…

A: Given :a=ci+j and b=9i+45jTo find : The value of c so that a and b are orthogonal.

Q: Find an equation of the plane that is parallel to the plane x + 2y – 7z + 15 = 0 and contains the…

A: A detailed solution is given below.

Q: (142) (2+) dx equals Q. 41 (z cos z + sin z)*

A: Solution of the problem as follows

Q: Let P be a plane in space and let v be a vector. The vector projection of v onto the plane P,…

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Q: co sh?Ł

A: As we know,    cosht = exp(t)+exp(-t)2                  and               Laplace transform of ept =…

Q: Differentiate the following without expanding 3x2-4 You may use the Insert -> Equation function to…

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Q: 1. Find the Radius of Convergence (R.O.C.) and the Interval of Convergence (I.O.C.) for the…

A: Consider the power series                 ∑n=1∞ an(x-a)n then series will convergent if x-a<R ,…

Q: 2. The linear differential equation x'dy+(2y-3x'y-x' dx =0 has the integrating factor equal to -.…

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Q: I'll

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Q: Compute for the net area bounded by y = 0.75x2 - 3x and the x-axis (note: 1 box/gridline equal to 1…

A: Here, form the given figure: A=∫04(0-(0.75x2-3x))dx=∫043x-0.75x2dx

Q: Current Attempt in Progress Let a = ci + j and b = 8i + 24j. Find c so that a and b are orthogonal.…

A: for orthogonal of vector dot product of vector is 0 a*b=0 (ci+j)(8i+24j) = 0 8c +24 = 0 8c =-24 c…

Q: - Determine the in terval .of convergence of the power Series whichh is the Sum From n= o teesae to…

A: We can solve as follows

Q: 2 sec- 4 4,

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Q: 2. The linear differential equation x*dy+(2y– 3x²y-x' \dx = 0 has the integrating factor equal to…

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Q: tind the first three nonzero terms in the Maclaurin Series of Flx) = tan %3D

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Q: Find the directional derivative of f(x, y, 2) 2y at P(5, 1, –4) a + z in the direction from P to…

A: Given: fx,y,z=2yx+z, P5,1,-4, Q2,3,-1   The expression for the directional derivative of the…

Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work.…

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Q: 3. The standard form of the first order linear differential equation xdy+ +(2.xy– 3y-4.x* )dx = 0 is

A: Simplify to get the standard form of first order linear differential equation.

Q: For the function f(z) = 3x- 2x +2, f(r + h) - f(x) evaluate and simplify: 4: Find the value of the…

A: Here, f(x)=3x2-2x+2

Q: Two straight highways are perpendicular to each other. Car A is moving at 100 km/hr away from the…

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Q: 3. The standard fom of the first order lincar differential equation xdy + (2.xy -3y-4x dx =0

A: As we know that; The standard form of the first order linear differential equation is; dydx+Py=Q…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: 4. P(1,-4,-5) and parallel to the plane 2r +4y- z 0. Also, sketch the graph of 2. Determine the…

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Q: Let F be a commutative ring with identity and let f (x) E F[x] be a polynomial of degree 4. Which of…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function is;  f(x,y,z)=xyz x2+y2+z2=243.

Q: Compute the area enclosed by the curves. You must show your work. 1 y = x, y = x³, %3D 6. 2 312

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Q: Which among the following is an even function     x2 + 1     (x + 1)2     x2 + x     (x +…

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Q: Σ xn + 6 In n n = 2

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Q: Determine whether the following differential equation is a type of exact equation or not by using…

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Q: Find the average value of the function over the given interval. You must show your wo x2 - x +1 f(x)…

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Q: iv)Find the acceleration after 1s? After 3s? v) Find the total distance travelled during the first…

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Q: To evaluate sin e de , factor sin³e as (sin²e) ² sin® and let sin²0 =-(1- cos20). A True B False

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Q: Find T(t) and N(t) at the given point. r(t) = 7 cos(t)i +7 sin(t)j; t = 3 T(-) .3 .3. ||

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Q: TT sec (2x) tan(2x) dx T/3 8T

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Q: (26ー1) 不t8

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Q: Find all cube roots of the complex number 64(cos (219°) + i sin (219°). Leave answers in polar form…

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Q: 2dy Зу-4

A: Use the method of substitution and solve the integration.

Q: The origin of a coordinate grid is labeled A. Line segment AB forms an angle of 30° with the x-axis.…

A: find the components

Q: Given that Vf (3,-3) = 7i- 6j, find the directional derivative of the functionf at the point (3,-3)…

A: Given query is to find the direction derivative.

Q: Find Duf at P. 2 f(x, y, z) = 6x³y°z°; P(2, – 2, 2); u = ;i + -k

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