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Q: The measurements of the base and altitude of a triangle are found to be 36 and 50 centimeters,…

A: Let base= B  Altitude= H Given that B= 36 , H=50 , dB=0.25 , dH=0.25

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: The curve y = ax² + bx + c passes through the point (2, 28) and is tangent to the line y = 4x at the…

A: We have  y=ax2+bx+c        at (2,28)           and               y=4x

Q: 6. Parallel to the line Y = = -}(x – 100) – 99, 3 4 passing through (1, 3)

A: Given query is to find the equation of the line passing through (1,3) and parallel to the line…

Q: integral -{cay,a> 91-) Evoluate te nplhas)ss - 24x<0, Ocyc1, -16241} . where

A:

Q: 3. tet-lu(t – 1) 4. t cosh 2t 5. (t – 2)²et-!u(t – 2) 6. te-'u(-t)

A: To find the Laplace transform of the given functions.

Q: y" - (r+ 1)y + ry = r,

A:

Q: A force of 7 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: Given that 7 pounds is required to stretch 0.2 ft

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: Given that,The path of a basketball is given byy=2.12+2.01x-0.38x2, 0≤x≤4.6wherex is the horizontal…

Q: With the help of Weingarten equation show that H[ñ ñ2 ] = FN – GM %3D

A: Given: To show the given statement as follows, The given  H    n→  n2→  r2  →  = FN - GM.

Q: # 3 Find the slope of the tangent line to the curve -3x²-3xy + ly = 33 at the point (- 2, 3).…

A:

Q: solid of revolution?

A: Definition: In calculus, a solid of revolution refers to a three dimensional figure which is…

Q: Which two of the hyperbolic integration formulas differ from their trigonometric counterparts by a…

A:

Q: Differentiate y = arcsin (2r2) 4.r VI+ 4r4 Option 1 None of these VI- 44 Option 2 Option 3 4.

A: As we know that; The chain rule; fgx'=f'gx·g'x The Power Law; ddxxn=nxn-1 And ddxarcsin(x)=11-x2…

Q: Find distance between point A(1,3) Perpenclicular on the line L: 2y =2 +X

A: Use the following formula: The perpendicular distance from the point A(x1,y1) to the line ax+by+c=0…

Q: A barge takes 3 hours to move (at a constant rate) downstream for 21 miles, helped by a current of 2…

A: To solve the following problem

Q: PLEASE USE EXCEL. 4. Find all solutions of e²x = x + 6, correct to 4 decimal places using the Newton…

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Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to s = 112t -…

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Q: Find dy of Using first principles

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Q: Determine the second moment of X about origin

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Q: A force of 2 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How…

A:

Q: A rocket is fired from ground level with an initial velocity of 128 ft/sec. Given the acceleration…

A: We know that, Third equation of motion is      v^2= u^2 + 2ah............(1)  where v is final…

Q: The roots of Characteristic equetion of a thrrd oreler, lineor homapeneous-equation with constaut…

A: Consider homogenous differential equation with constant coefficient:…

Q: The force on a particle is described by 2x3 - 4 at a point æ along the a-axis. Find the work done in…

A: The force on a particle is described by 2x3 -4 at a point x along the x-axis. Find the work done in…

Q: An open cylindrical tank is to have an outside coating of thickness 2cm. If the inner radius is 6cm…

A:

Q: The force on a particle is described by 10x + 6 at a point x along the x-axis. Find the work done in…

A:

Q: An arrow is shot into the air so that its horizontal velocity is 25 feet per second and its vertical…

A: Given : horizontal velocity is 25 feet per second and vertical velocity is 15 feet per second. we…

Q: The circumference of circle was measured to be 24 cm with possible error in measurement of 0.2 cm.…

A:

Q: The force on a particle is described by 4x +1 at a point x along the -axis. Find the work done in…

A: Given  Force F = 4x3+1

Q: The dimensions of a closed rectangular box are measured as 80 centimeters, 60 centimeters, and 100…

A: Let the dimensions of a closed rectangular box are: Length=L=80 cmWidth=W=60 cmHeight=H=100 cm And…

Q: 4. A projectile is launched with an initial speed of 40 m/s from the floor of a tunnel whose height…

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Q: ди ди x====u+Yay ?х

A:

Q: The velocity components at point (2, 2) is specified by the equation u = x1 + 3y and v = - 2xy.…

A:

Q: 3. A projectile is fired from ground level with an initial velocity of 35 m/s at an angle of 35°…

A:

Q: The force on a particle is described by 5x³ – 5 at a point x along the x-axis. Find the work done in…

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Q: Integrate by Gaussian quadrature (n=3). dx Ji 1+x*

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Q: the side of a sqaure is 10 cm. find the approximately, by using differential, the increase in the…

A: Given that side of a square a is 10cm and it is increased by 0.02cm.

Q: Solve the nonhomogeneous ODE by variation of parameters. ODE: y" + 4y = cosh 2x

A:

Q: The velocity components at point (2, 2) is specified by the equation u = x2 + 3y and v = - 2xy.…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: ential equation is given by

A:

Q: 6. The length of a rectangular yard is measured to be 84 feet and the width to be 36 feet. If the…

A:

Q: ength of the curve 1 1 < x < 2. 6 10x3 +

A:

Q: A force of 2 pounds is required to hold a spring streched 0.6 feet beyond its natural length. How…

A:

Q: Find the root of system of equations using Newton Method . Employ initial guesses of x=y=1.2 y =-x…

A: Note: According to bartleby we have to answer only question please upload the question separately.…

Q: J7 -dz 21-8

A:

Q: y 1-

A: The solution is given below in the next step:

Q: The force on a particle is described by 6x + 1 at a point x along the x-axis. Find the work done in…

A:

Q: A force of 6 pounds is required to hold a spring stretched 0.2 feet beyond its natural length. How…

A: F = -kx  6 = -k(0.2) So, k = 30   Work done, W = (1/2)kx2 = (1/2)*(30)*(0.9)2 = 12.15