Evaluate with out hoH LnX lim

Q: В. 5. We let y(t) be the position function. What is the position function? A. p(t) = - 16t2 - 100 t…

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Q: Find the relative maximum and minimum values and the saddle points. f(x.y) = 242y +x -xy

A: Using D=rt-s^2 If D >0 and r>0 then relative minima and r <0 then relative maxima  And at…

Q: Find T(t) and N(t) at the given point. e' cos t, y = e' sin t, z = e'; t = 0 %3D T(0) %3D N(0) = %3D

A: Given vector x=etcost, y=etsint, z=etr→(t)=<etcost, etsint, et>

Q: EX-10 - Prove the following identities: a) Sin( A+B)+ Sin( A-B)= 2.SinA.CosB Sin( A+B) b) tan A+ tan…

A: Using trigonometric function

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A: We have to find the speed of plane.

Q: dy Compute the derivative y' dt 2t – 9 - y = 5t 2

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Q: 4. Show that a b

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Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-'…

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

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Q: Evaluate the following .5 |x² – x – 6| dx -5 1.

A: First partition the domain for mod function then integrate accordingly

Q: Consider the limits. lim f(x) = 6 x→7 lim g(x) = -8 Evaluate the limit using the limit law for a…

A: Evaluate the limit using the limit law for a quotient

Q: Duf :

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Q: Find the inverse function G for the function F(x) = (x-1)/7 in the real numbers. Show all steps.

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Q: The general solution of y² + x² ªY dx xyis dx

A: This is a homogeneous differential equation which can be solved by putting y=vx

Q: xydA R

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Q: If f is differentiable at a number, x, then f is continuous at x.

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Q: Solve the following differential equations of (2x' + y)dx +(x²y-x)dy =0

A: This is a problem of differential equation. Based on exact differential equation concept we will…

Q: Evaluate the definite integral. 14t i + e*j+t k)dt (el4 – 1) i – (e-1 – 1) j + k 1-(6" -1) + i- (e~-…

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Q: Solve y" +3y'+2y =

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Q: Set up the definite integral required to find the area of the region between the graph of y = – 23x…

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Q: 2pm travels east at 50 mph. How fast are the trains separating after a long time?

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Q: Find the limit. NOTE: Enter the answer using round brackets. t? + 4 1 lim 5t2 + 6 7t (?,?)

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Q: Consider the limits. lim f(x) = 5 x→7 lim g(x) = -12 x→7 Evaluate the limit using the limit law for…

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Q: Determine which inverse trigonometric function g has the derivative g'(x) (Use symbolic notation and…

A: Given g'(x)=1x2+1 Integrating on both sides, we have ∫g'(x) dx=∫1x2+1 dx

Q: 4. Find a vector that points in the opposite direction as ā =(-3,-14,2) with a magnitude of 32. 5.…

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Q: Find the average value of the function z() = 4t sin(2) on the interval [0, ]. %3D Select the correct…

A: This is a problem related to integration of the function. Based on the general formula we will…

Q: Write an expression for the nth term of the geometric sequence. Ther a = 6, r = 1 n = 12 2 an %3D…

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Q: Using Long (Euclidean) division then decomposition into partial fractions x4 - 4x2 -x- 3 dx x2 - 2x…

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Q: A businessman borrowed Php2,500,000 for 5 years at 5.5% simple interest. What amount must he pay at…

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Q: Using appropriate substitution xp: V9x2-36x + 37 Is equal to

A: We have to integrate given function

Q: Find the length of the curve of the graph of the indicated function. y = 4x3/2, between points (1,4)…

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Q: Find a formula for the nth term of the arithmetic sequence. 26, d = 8 a1 %3D an

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Q: Evaluate the iterated integral. SS 5x= dy dz dz = 0 0 0

A: Integration is evaluated by integrating first y then x then z.

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: Given: fx=y=x2+2, y=18 and  0≤x≤4 And the bounded region is: Apply the shell method to find the…

Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. f(x) = 4,…

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Q: Find the area of the region enclosed by the curves y = x² and y = x by integrating with respect to…

A: Let f(x)=y=x2      (1)g(x)=y=x          Compare x=x2x2-x=0x(x-1)=0x=0 or x-1=0x=0 or x=1Put value of…

Q: dx (x² – 1)²

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Q: 10 (5, 10 -x, x>5 x55 Use geometry to evaluate f(x) dx for f(x) = O 12.5 O 25 37.5 Cannot be found

A: Given that fx=5,x≤510−x,x>5 To evaluate ∫010fxdx

Q: Find the area of the region outside the cardioid r = 4 – 4 cos 0 and inside the circle r = 8. NOTE:…

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Q: Use a double integral to find the volume of the indicated solid. 9 z = 9–2 y 2 y=2 4 X=4

A: Consider the solid

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

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Q: Determine which inverse trigonometric function g has the derivative g'(x) = %3D V1-x2 (Use symbolic…

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Q: Cos 4x S cos 2x-sin 2x dx

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Indicate whether the following statement is true or false. P(x) Let P (x) and Q (x) be polynomials…

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Q: f(x) e C = 0 %3D - ) = Σ %3D n = 0

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Q: The shaded region between the graphs of 2x2 + 20 and y = 3x – 15 is displayed - - below in orange.…

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Q: A combination lock will open when you select the right choice of four numbers (from 1 to 45,…

A: Topic = Algebra

Q: Find the area of the region using a double integral. The region bounded by y = 3x*, 3x + y = 6, and…

A: A detailed solution is given below.

Q: Find the area of the region between the following curves. If necessary, break the region into…

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Q: Compute f(x)dx (6 points) f(x) = { 2x if x<1 4 if x21

A: In this we have to do the integral of given function so I'm providing hand written solution for this