Evaluate: f(cos 5x - 2 sin 3x) dx O sin 5x - cos 3x + C Osin 5x - cos 3x + C O sin 5x+cos 3x + C O-sin 5x+cos3x + C

Q: The plot below represents the function f(x) 8+ 7 4 5 6 5 4 3 2 1 -5 -4 -3 -2 -1 -1 1-24 Evaluate…

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Q: ■ Find distance from point A(1,2,1) to the plane containing the three points B(2,2,4), C(-1, -2, -3)…

A: Distance of a point from plane

Q: 4 Find the coefficient of the given term when the expression is expanded by the binomial theorem…

A: Find the coefficient of x2y7 in (2x+3y)9 using binomial expression.

Q: Find , given y sec dy dx = final answer. √2x²+1, x > 0. Simplify your

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Q: f= (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the…

A: Please refer too the image below

Q: Find the volume of the region that lies below the parabola y2 = x and above the x-axis the interval…

A: Given curves is y2=x

Q: Find the all statements by the truth tables: 1 (pr) v (q→r) = (p^q) →r

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: ow that a differentiable function f decreases most rapidly at x in the direction opposite the…

A: To find the direction derivative.

Q: If the angle of elevation from the ground to a tree is 40° from 108 feet away, how tall is the tree?

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Q: 4. Find the area bounded by y=√11-x, the lines 3x-2 and x = 10 and the x-axis.

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Q: a dy Find given y = 4 In da

A: The given function,   y=4x lnx

Q: really need help with drawing this graph I already got the area of the region i just need help with…

A: Follow the procedure given below.

Q: The graph of f is shown. 8 (b) 0 8 16 24 32 Evaluate each integral by interpreting it in terms of…

A: According to the guidelines in case of multipart question,  we are only allowed to solve first three…

Q: Suppose that f(x, y) = x +y on the domain D = {(x, y) | 1 ≤ x ≤ 2, x² ≤ y ≤ 4}. D Then the double…

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Q: . Given 1 [(5x+ + = + 1) dx a. ) Evaluate the indefinite integral above b. Evaluate the integral…

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Q: Evaluate the integral f sin²x cos³xdx.

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Q: p=q= r= (Simplify your answers, including any radic

A: Follow the procedure given below.

Q: The position function of an object is given by s(t) = 2³-12² + 30t+8, where time, t, is in seconds…

A: The position function of object is given as  s(t) = 2t3-12t2+30t+8  Where 't' time in seconds and…

Q: ample 23: Show that the function f(x)=1-1-x is continuous on the interval [-1. 11.

A: A function y=f(x) is continuous in an interval [a,b] if it exists for every x∈[a,b] In other words a…

Q: For the function ?(?) = ?2 − 2? + 5, estimate for the instantaneous rate of change at x = 3. Round…

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Q: IF x=t, y=t², 2= 2/3 t3 and r is the position vector, denoted by r=ti + t²j + 3/23 t²³³ k dT @ Find:…

A: Acccording to question,Given equations,x = ty = t2andz = 23t3andr = t i^ + t2 j^ +  23t3 k^

Q: Evaluate the following triple integral by hand: 2 }}} ij X'√= dxdydz= y³ z=1 y=2 x=-1

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Q: Solve by Gaussian-Jordan algorithm (reducing to rref). Show all row operations you apply. If the…

A: First we reduce in row eclehon form .

Q: Evaluate the integral. V3 /1 v3 + 3v6 3v6 d v4 dv

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Q: If g(x, y) = x² + y² 6x, find the gradient vector Vg(1, 6). Vg(1, 6) = -4,12 Use the gradient vector…

A: Given that , gx,y=x2+y2-6x find the gradient vector ∇g1,6 and tangent line to the level curve…

Q: Which graph represents the function f(x) = x+1?

A: In this question we have to find which graph represent the given function.

Q: If the Wronskian W of f and g is t²e5t, and if f(t) = t, find g(t). NOTE: Use c as an arbitrary…

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Q: Find the Wronskian of the functions f(t) = 3et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

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Q: Find the center of mass of the given system of point masses. (x, y) = mi 5 1 3 (Xi, Yi) (2, 2) (-5,…

A: In this question, we want to find the centre of mass of the given system of point masses.

Q: Using the definition of the derivative, find f'(x). Then find f'(1), f'(2), and f'(3) when the…

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Q: y = 2 sin(x), y = ex, x = 0, X = K|N 2

A: The region bounded by the curves,  y=2 sin(x), y=ex, x=0, x=π2

Q: 3. The population of a specific bacteria growing in a Petri dish is modelled by the function t P(t)…

A: Population of bacteria is  P(t)= 12000(3)t/4  a) determine the value of t when P(t) =324000  b) what…

Q: determine the average rate of chnage for the funcation f(x)=4log(x^2)+ 2/x betweem x=3 and x=5

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Q: The measurement of the side of the cube is 6 cm long. If this length has an error of 1/12 cm. Find…

A: Topic = Derivative

Q: State the coordinates of intercept(s), end behavior, and domain and range of the logarithmic…

A: Lets have the graph of the given function to better understand above requirement

Q: 22 Find the number of connected components for the graph below. b 1 2 3 4 a. 8 d C h

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Q: calculate the lengths of all three sides using the distance formula of the non-right angle triangle…

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Q: Calculus I In the exercise f(x)= cos x + sin x; [0,2pi], find the following 1.) Search for…

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Q: - 5. Sketch the graph of f(x)= x² – 5x + 6 using the Vertex and the X-intercept. Identify the axis…

A: Explanation of the answer is as follows

Q: Use the Inverse Function Theorem to find (s−¹)' (6) given that s(x)=√√-8x - 4. Note that s(-5) = 6.…

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Q: Solve the following differential equations of d²y dx² +9y=2e³x +18x+18

A: The given differential equation,      d2ydx2+9y=2e3x+18x+18

Q: A firecracker shot straight up in the air has a height s, in metres, at time t, in seconds, given by…

A: Let xt be the curve followed by the object, then the formula for finding the instantaneous velocity…

Q: 5 Find the coefficient of the given term when the expression is expanded by the binomial theorem. x6…

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Q: y = 7 cos(x), y = 7 - 7 cos(x), 0 ≤ x ≤ π

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Q: All Solve the following by L apace transformy" + 4y' + 3y = 0 ,y(0) = 3 y'(0) = 1

A: Given :y''+4y'+3y=0 y(0)=3 and y'(0)=1

Q: The base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1].…

A: Here, the cross-section is perpendicular to the x-axis. Therefore, the area is a function os x.

Q: 4. Express the integral as an equivalent integral with the order of integration reversed. 2√x (a) ff…

A: The process of switching between dxdy order and dydx order in double integrals is called changing…

Q: A balloon rises at a rate of 3 meters per second from a point on the ground 60 meters from an…

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Q: dy -(x²+y) B)Solve differential equation = dx x+siny

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Q: 7 For the graph represented by the drawing below, find all edges that are incident on v1.

A: FOR the graph represented by drawing below ,find all the edges that are incident on V1