|sin (x)cos (x) dx

Q: There are 164 students in an Electronic Engineering (Computer) program where 110 students like Diffe...

A: Solved below

Q: Si cos°(3x)sin (3x) – cos (3x) sin°(3x) dx

A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

Q: 1. (a) Find sin 6x+ cos 4x dx. (b) Evaluate dx. Hence, solve dx. (e' +2) (e'+2)

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Q: (1-xy)^-2dx+[y^2+x^2(1-xy)^2]dy=0

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Q: In the interval 0< x < 27 how many values of a satisfy the equation sin x = -? 01 0 4 O 3 0 2

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Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: Find the area of the triangle to the nearest tenth squ. a = 3 ft, b = 4 ft, c= 5 ft O 3.5 ft? O 150....

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Q: dx If x2 + y2 + z2 = 9, dt dy 6, and dt dz when (x, у, z) %3D (2, 2, 1). dt 3, find %D %3D dz dt II

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Q: 5T is equivalent to 12 The expression csc 1- 2 sin? 12 1 Cos 6. - 1- cos 6. 5 2 cos? 6 - 2]

A: Topic = Trigonometry Correct option  csc5π12=21-cos5π6  

Q: Make a word problem about distance formula

A: Topic:- geometry

Q: Which angles have the same sine value? and 3. O T and 3 3 o 4T and 3 - 3 and 3 3

A: As we know that from the trigonometric identities; 1). sinπ+x=-sinx2). sinπ-x=sinx   And 3). sinπ3=3...

Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

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Q: Set up integrals required to find the area of one of the two regions (your choice) bounded by the cu...

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Q: Activity 2: Apply the different theorems four sin 7x 1. lim tan x 2. lim x0 2x 3. lim (cos x - 55*) ...

A: As per our guidelines we are supposed to answer only3 subparts of a question please repost other que...

Q: -1 Compute the area of the region enclosed by the lines y = r and y = z and the curve r = 10 – 2y?. ...

A: This question is related to application of integration.

Q: Express the function below in rectangular form, (-1+i)-1+i

A: z = -1+i-1+i                                                                         1z = -1+ii-1+iz...

Q: If the graph of the equation y= sin(x) is to be modified to shift it to the left by 2 units and tran...

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Q: 1. Let f(x, y) = sin(x² – y). Compute fry.

A: Given that: f(x, y)=sin(x2-y)

Q: Plot the following points on the coordinate plane. You can use different colors of pen/pencil/crayon...

A: The given points are: M=(0, -3)B=(0, 4)S=(2, 0)Q=(-2, 5)

Q: Suppose R is the region bounded above  by the graph of f(x)=8x−x^2 and below by the graph of g(x)=x ...

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Q: ERROR. Problem: Determine the particular solution of y"-3y'+2y=4e"; y(0)=-3, y'(0)=5 using Laplace a...

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Q: 9. The three midpoints are given as shown below. A (X), y1) D(-7, 6), F (2, –2) G (x, y) B E (8, 5) ...

A: Since you have posted multiple questions , as per our guidelines we will answer the 1st question for...

Q: S cos(7x) cos (18x)dx

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Q: 1. Find: (a) the intervals on which f is increasing, (b) the intervals on which f is decreasing, (c)...

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Q: Evaluate (sin t + 1)-1 dt A) sin t - sec t + C B tant + sec t +C (©) tant - csc t + C D tan t - sect...

A: Topic:- integration

Q: sin x For what value(s) of a is the expression undefined? 1+ cos x O OT - 2

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Q: Find the equation of an ellipse with center at (2,-2), vertex at (7,-2) and focus at (4,-2)? O (x + ...

A: We have to find the equation of ellipse

Q: Suppose we have a velocity function and an initial condition for position: 1 1 2t v (t) = r (1) = (0...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: A thermometer indicating 18 degrees Fahrenheit is placed in a room with a temperature of 70 degrees ...

A: Given:- thermometer indicating 18 degrees Fahrenheit is placed in a room with a temperature of 70 de...

Q: (x +Jy?+1) dx x-(y- dy = 0 り*+1

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Q: It is known that the population of a certain country at time t is proportional to the people living ...

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Q: S(x, y, z) = 2x'y²z²

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Q: 3. (D³ + 2D² + D + 2)y = 0

A: The given differential equation is; (D3+2D2+D+2)y=0  

Q: 10. If y zx[sin{inx)- cos(Inx)y find dy/dx. A. sin(inx) B. cos(Inx) C. -sin(inx) D. -cos(Inx) 11. If...

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Q: (») LLa (1-y? In(x² + y² + 1) dx dy 1-у2

A: Given: ∫-11∫-1-y21-y2    lnx2+y2+1dxdy

Q: A particle moves along a straight line and has acceleration given by s"(t) = 5t. [ts initial velocit...

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Q: variance of the data 2,4,5,6,8,17 is 23.33 ,(2 :then variance of 4,8,10,12,16,34 will be

A: Result: If the variance of a data set a1,a2,...,an is σ12 then the variance of data set ka1,ka2,...,...

Q: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³...

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Q: ху'- у - 5х1 — Зх? + 2х %3D 0

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Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

A: To solve the equation for L, 

Q: 12. Find the first derivative of y = 2cos(2 + x*). A. -4x sin (2 + x2) B. 4x cos (2 + x*) C. x sin (...

A: Questiopn no. 12,Given,           y=2cos2+x2To find : The first derivative of the function.

Q: 5. Find the linear approximation (i.e. the tangent plane) of f(x, y) = Vx/y at the point (9, 4) and ...

A: The Local Linear approximation of f at (x,y) using the partial derivative f at (x0,y0) is given by  ...

Q: Let RR be the first quadrant region bounded on the left by the yy-axis and between the graphs of f(x...

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Q: Find II| y dV, where E is the solid bounded by the parabolic cylinder z = x² and the planes y = 0 E ...

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Q: Use the definition of the derivative to find the derivative of, f(x)=6

A: topic - derivatives

Q: xdy – ydx – /x² – y?dx = 0 -

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Q: Question 7 The average change of a function f over an interval (x1, x2] is f(#2)-f(21) First find th...

A: First we find out the average rate of change of f(x) over the interval according to given formula th...

Q: Find the derivative of the following functions using the limit definition. 1. y = x² – 4x – 5 -

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Q: The graph below is the function f(x) 3- 2 5 4 -3 -2 Find lim f(x) = I -1- Find lim f(r) Find lim f(x...

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Q: Calculate the integral of (cos 30) dO . (COS.

A: The given integral is: I=∫0π6 cos53θ dθ