Evaluate the following integral. B 4 S 尺寸 4 15√1+ cos (4x) dx

Q: 4x²+x+2 1. Find the general antiderivative of x+1

A: *Note - As per our company guidelines we are supposed to answer one question. Kindly repost other…

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A: Solution-1) The x point at =3and y point is =9So, the required equation is,y=-3x+92)…

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Q: Suppose the value R (d) of d dollars in euros is given by R (d) = d. 10 The cost P (n) in dollars to…

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Q: C. Remove all grouping symbols and simplify 13. 2x-[(3y + 5x)-(8x-6y)] 14. 4a²-5(a + 3b)-[2(a² +…

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A: The point  is on the graph .The aim is to find the points in the graph .

Q: Question 1.12 Determine the laplace transform for the following function: f(t) = 9t7-7t + 1 that is…

A: Take Laplace transform.Use the Laplace rule:

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A: We have to evaluate the integral.

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Q: 10.) Express the integral f sin 100 xcos 301 xdx in the form fp(u)du where p(u) is a polynomial and…

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Q: Find the indefinite integral|In(x²)dæ. [In(2²)dx= help (formulas) Use a capital "C" for any needed…

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Q: Solve fxª ln(x) dx using Integration by Parts. X Use u = = ln(x) and v' = xª. Answer: ID

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Q: Consider the position function s(t)=sin(πt) representing the position of an object moving along a…

A: The position function is The slope of secant line passing through points

Q: 5 4 3 2 -5 7 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 T In the above graph of y = f( x ), find the slope of…

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Q: Find the volume of the solid formed by rotating the region enclosed by y = e¹¹ + 1, y = 0, x = 0, x…

A: To find the volume of the solid formed by rotating the region enclosed by about the x-axis.

Q: 6.) The production of steel by a factory reached P(t) = 500t + 2t² + 20ln (t + 1) tons of steel t…

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Q: This dynamic figure shows uv, the projection of a vector u along a nonzero vector v, when the angle…

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Q: Determine if the graphs of each of the following functions is increasing or decreasing, concave up…

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Q: Let F =. Use Stokes' Theorem to evaluate where [[cur S consists of the top and the four sides (but…

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Q: Find the derivative. ( 시 dx X dx ㅉㅁ X

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Q: b. Use the substitution u = cos x to evaluate the integral I sin sin a cos adr

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Q: Use the graph of F to find the given limit. When necessary, state that the limit does not exist. lim…

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Q: (x) = 8x4-8, g(x) = 8x-2 and h(x) = sq root X  Find (f of g of h)(x)

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Q: P(3, 0, 3),  Q(−2, 1, 4),  R(7, 2, 5) Find the area of the triangle PQR.

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Q: Suppose that the functions p and q are defined as follows. p(x)=x² +5 g(x) = √√√x+3 Find the…

A: Suppose that the functions  are defined as follows.To find the following.

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A: To find the distance from a point to an axis (x-axis, y-axis, or z-axis), you can use the distance…

Q: Factor and/or simplify the following to match the given forms. A(1 – B) √z a) 3y2/32-1/2-6y5/6-3/2=…

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Q: he point (2, -20) is on the graph of y = f(x). a) A point on the graph of y = g(x), where g(x) =…

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Q: Consider the two lines in R³: r₁(t) = (0,-1,-1) +t(4,2,0) and r₂ (s) = (7,-7,4) + s(1, 1,4). Find a…

A: The two lines in R3:

Q: Solve the initial value problem: y(x) = = y'(x)=√4y(x) + 64, y(-4)= 9

A: To solve the initial value problem

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Q: Find an equation of the tangent line to the curve at the given point. y = 6ex + x, (0, 6) y ||

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Q: Evaluate the integral. If the integral is convergent, enter its exact value. If it divergent, enter…

A: .........(1)Substitute      ..........Put it back in equation 1

Q: Consider the function f(x, y) = x² + y² + x²y + 4. Find and classify all the critical points of f(x,…

A: In this question, we will find critical points and relative maximum and minimum and saddle points.

Q: Let u = (4, ₂) and = (v₁, 3). (a) If u = 12, find V1 = V1 V1 = in terms of u2. (b) If u2 = -5,…

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Q: Suppose y(t) = 2e-3t is a solution of the initial value problem y' + ky = 0, y(0) = yo. What are the…

A: The given initial value problem is .The aim is to find the value of  and .

Q: Thanks for the help. However, the homework program does not accept that as the correct answer. I…

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Q: Estimate the instantaneous rate of change of P(t) = 5t² – 3 at the point t = 3

A: To find the instantaneous rate of change, take the derivative.

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Q: = GRAPHS AND FUNCTIONS Composition of two functions: Basic Suppose that the functions u and w are…

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Q: 7. Find the absolute maximum and absolute minimum values of fon the given interval. a. f(x) =…

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Q: Find the general solution of the differential equation: y'+1y = xy³. Use lower case c for the…

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Q: 21. Let D denote the region of the plane bounded by the X-axis, the Y-axis, the line x = 3, and the…

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