Question 17 D, (cos(sin x)) = O-sin(cos z) - sin + cos z COS I - sin(sin z) O sin(sin x)

Q: Find the general solution of the given differential equation. xdy + (3x + 1)y = e-3x dx y = Give the…

A: Given problem :-

Q: A large tank is filled to capacity with 300 gallons of pure water. Brine containing 4 pounds of salt…

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Q: 5.) Using the tables, evaluate h'(2) for h(x) = - A.) 33√2 C) 33√2 33√2 512 8 33√2 D.) 3√2 f(x) g(x)

A: Given h(x)=f(x)g(x)

Q: Find the equation of the line that satisfies the given conditions. (a) Write the equation in…

A: Here, given that x-intercept is (1,0) and slope is 3.

Q: f(x) = c TRY TO FILL THE хо xo FOLLOWING TABLE FUNCTION f(x) = c g(x) = x g(x)=x USING PUTE…

A: This question is based on area and integration.

Q: Find the area between f(x)=x²-7 and the x-axis from x = 0 and x = 6. ...

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Q: Find the equations of the tangent lines in both the x-direction & the y-direction to the function z…

A: We need to find equation of tangent line.

Q: Find the limit for the following sequences and determine their convergence: In n i) a₁ = ii) a₁ =…

A: We need to find limit and convergence.   As per Bartleby's guidelines we can solve one question from…

Q: و - هاد -3 10) dy dx 1 x cos y

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Q: Use a sign chart to solve the inequality. Express the solution in inequality notation and in…

A: By using a sign chart to solve the given inequality. To express the solution in inequality notation…

Q: y = x³ + 1 (x (x² 2 3 x + 3 -1 - 2x + 1)

A: The given function,      y=x3+1x3+3x2-2x-1+1

Q: Find the area of the region enclosed by the following functions. a) x=y²-3 and x=y+1. (-1,-2) 1…

A: Consider

Q: Q2: Find the double integration f (4x + 2)dydx D = {(x,y):0<x<2,x?<y≤2x}

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Q: tially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds of salt…

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Q: Verify the mean value theorem for the function f(x)= x(x²-x-2) over the interval [-1.1)

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Q: Determine whether the series converges. 1 Σ- k=1 √11k - 1 The series diverges. The series converges.

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Q: Q5: prove 1) e2-j3n-e² = 2) |e²| = ex

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Q: A plane Π2 intersects Π1: 4x − 2y + 7z − 3 = 0 at right angles. Two points lie on Π2: A (3, 2, 0)…

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Q: (13) Value of fr -dx is... xz d 2

A: ∫511 dx/x2  here simple integration is given  ∫511 x-2dx [-1/x]511 -1/11 + 1/5 (-5+11)/55 6/55

Q: -1 If f(x) = e calculate ƒ '(2).

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Q: Find the limits in a) through c) below for the function f(x) = 2 X-X-42 Use X-7 a) Select the…

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Q: 5) By using the method of undetermined coefficients, if the term of (r(x) = 3x² cos 5x), the exact…

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Q: Sales of a particular product have been declining continuously at the rate of 15% per year.  a.)…

A: Given ,  Sales of a particular product have been declining continuously at the rate of 15% per year…

Q: 1) 2) 3) cos ¹(2) j(1-j√3)(√8+j) (1+j)(1-j√3)²

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Q: Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel to the given…

A: Given problem:- Find an equation of a line that passes through a point P (-3, 5, 4) and is parallel…

Q: Find : dw/dk 2 √ sin (ka) m w=2

A: Given :ω=2αmsinka2

Q: 2/ using the integration test the series A n³+n $ Σn. divergent n=1 √√√²² +21² +2 A true 1 Error

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Q: The total sales of a company (in millions of dollars) t months from now are given by the following…

A: Explanation of the answer is as follows

Q: Give a limit expression that describes the left end behavior of the function. 2+7x+8x² f(x) = Select…

A: We can solve this as follows:

Q: Determine the critical numbers for f(x) = (x-a)*(x-b)*. Ox=a, x=b and x=m+n h Ox=-a, x=-b and x=n+m…

A: Since you have asked to solve two sub questions we will solve it.

Q: Solve the given differential equation by separation of variables. dy dx e³x + 4y =

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Q: Question 11 Evaluate the limit: lim h→0 Question Help: Video (-5+h)² - 25 h

A: We can solve this as follows:

Q: ii. Given g(x) = √x²+5 if x<-2 3-3x if x2-2

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Q: Determine the maximum and minimum values of the function f(x)=cos³x on the interval x10,2x). Max…

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Q: Ⓒ Find ³ dx J & 4 3

A: SOLUTION-

Q: Problem 3. Evaluate each limit. If the limit is infinite, state whether it is -∞ or +∞. If the limit…

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Q: Find each function value and the limit for f(x) = (A) f(-10) (B) f(-20) (A) f(-10)= (Round to the…

A: Given problem:-

Q: A - a non-linear differential equatio n of the sixth degree. B - a linear differential equation of…

A: given differential is non linear because coshy term included

Q: Find the exact value of the following improper integral: ex L x2 dx

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Q: Question: 3 The volume of a cube is increasing at a rate of 15cm/min. At what rate the side of the…

A: We know that volume of cube is (side)3. That is V=x3, where x is side of a cube. Differentiate V…

Q: A vector with magnitude 7 points in a direction 295 degrees counterclockwise from the positive x…

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Q: If y = (1+x)8 (x + 1)7 True False then dy dr

A: We can solve this as follows:

Q: The graph shows the function y=x²-6x and the area bounded by the curve, its X-intercepts, and the…

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Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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Q: Write an augmented matrix and use elementary row operations in order to solve the following system…

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Q: The desert temperature, H, oscillates daily between 41 °F at 4am and 81 °F at 4pm. Write a possible…

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Q: A tank of capacity 300 liters originally contains 80 litres of brine with 1/8 kg of salt. A mixture…

A: Given data :-  Capacity of tank = 300 liters Rate of mixture poured into tank =4 L/min Rate of…

Q: Evaluate the integral. (Use C for the constant of integration.) The integral of 5dx/(1+cos(x))

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Q: Solve: x^2dy - y(x+y)dx = 0 O x+y=Ce^(-y) y Ixl=Cx^2 x=Ce^(-x/y) O x lxl = Cy^2 Oy=Ce^(-xy) O y…

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Q: 138) How many degrees is Zf+ <h? A) 360° B) 180° C) 90° D) 45°

A: As per our guidelines we can solve only one problem. So please repost the other questions again.…