dx 2 x + : P14 25.

Q: dy You need not expand your answer. dx Calculate 5x2 - 9x + 19 y = 2x + 4

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: Question included in the image

A: We have to factor 54-3x-x^254-3x-x^2=(6-x)(9+x)

Q: d²y Find dx2 for the function x²y² + 6xy 17 at the point (2, 3)

A: First find the first derivative at that given point than take the second derivative.

Q: Evaluate the Ś Ŝ (x²+2xY+ y% ) dy de when Step Size of xz0.2 and step of y=o.5 ? (use -> Trafezoi…

A: let f=∫01∫02x2+2xy+y2dydx with step size h=0.2 we have x0=0.2 , y0=0.5 fx0,y0=0.22+2×0.2×0.5+0.52…

Q: Exy Find dy it y=(t?r1)", x = t?+S %3D

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Q: Let y = 2x + 2 and t = x + 1.What kind of variation do y and t have? Explain.

A: Given: y=2x+2t=x+1

Q: f(x) dx = 6, xf(x?) dx. Jo FIND

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Q: dx i let x-= 4X-X2

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Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: Find dx. Using the substitution u=3 – 2x (3— 2л)5 |

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Q: Using the Product Rule Find and simplify the following derivatives

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Q: 04. Show that T = satisfies the equation T + Tyy = T³. %3D

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Q: dx Find the value of if it exists. x2 – 1 1 8.

A: I=∫1∞dxx2-1=∫1∞dxx+1x-1=12∫1∞2dxx+1x-1=12∫1∞x+1-x-1x+1x-1

Q: dy Find if dx y = 4u? 6u + 5 and u = 4x + 5

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Q: dy A. Find for the following: dx y = Vx3 +- In(esinh¯ x) i. x8

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Q: Question d²y Find if-x2 + 3y² = 4. dx2 Provide your answer below:

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Q: d²y -4 If x? + y? = 4 then show that dx?

A: By simply differentiate  with respect to x to find d^2y/dx^2

Q: (f) / x² + 4 dx

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Q: 32 Evaluate (t- 2t)° dt dx J2

A: Here we use fundamental theorem of calculus

Q: O Find the linearization Lcx) for fex) 3x -8x+7 when a=

A: We will find the linearization L(x) for the given f(x)=3x2-8x+7 when a=-2 in the following step.

Q: Find ds/dx if= y= In[(2x^3+7) (9x-2x^2)]^5 Hint: Use the Tattoo and the Properties of Logs

A: Given y=ln2x3+79x-2x25 Using properties of ln, 1) ln an=n·ln a 2) lna·b=ln a+ln b  y=5…

Q: QIFind 1 dx Vx² – a² Hint: Use x = a cosh(u).

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Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: For a function y(x), the quantity dydx represents the first derivative of y. This quantity…

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: we know that lnmn=lnm+lnn similarly, ddxlncx=ddxlnc+lnx=ddxlnc+ddxlnx…

Q: dy Find for the following: dx a) у- 1 + 2x3- x b) y = x° /x+ 3

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :  1 .…

Q: 3) f(t) = t*e?t %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

A: Given problem:- Integrate the following:    use the U-substitution.   ∫ (x2 +5x)dx/ 4√x+9

Q: Q3 / Find d²y/dx² for the following; d? 1. dx² (sec 3x)

A: # we are entitled to solve one question at a time ,please resubmit the other question if you wish to…

Q: P: Interpret the vate of change of re y = -2 dn'+1 +s) (4.5 - 2) with Yespect to

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Q: Use the chain rule to show that for a>0, x>0, d/dx xa = axa-1

A: We know that,The derivative of a function f(x)=xn usingpower rule is given asf'(xn)=nv(n-1), n>0…

Q: dy If x2 + y? = 13, then at dx the point (2, 3) is : -3 2 -2 3 -4 3

A: x2+y2=13 differentiate with respect to x, 2x+2ydydx=02ydydx=-2xdydx=-xy

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: If y=(x+1)(x+2)(x+3)(x+4), then d5ydx5=0

Q: .3 dx J Tx²+9 .2

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Q: %3D Evaluate the fo llowing intergrals nest_x5 dn.

A: Solving by definite integral we have

Q: Evaluate J by means of trapezoidal rule using n = 10 and n = 20: 1 J = exp(-x²)dx = Se

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Q: S ztvz+ ( r+Vx+1 Vx-1 dx (Hint: Use the substitution x – 1 = t².)

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: dy Calculate Y. You need not expand your answer. dx Vx - 3 y = Vx + 3

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Q: dx メ+Vaxt) dx |-x2

A: Given

Q: f (x) dx=6, ƒ (x) dx=2, and ƒ (x) dx=- 3, fir If A 4 B

A: We are asked to find the value of given.

Q: Vx2 – B2 Assuming B + 0, compute dx in terms of B.

A: Solution: Consider the given integral is I = ∫x2-B2xdxPut x = B sec t ⇒ dx = B sec t tan t dtI =…

Q: dy Find dx Assume a, b, and c are constants. ,3 (a) x² + y³ = 8 2 (b) ax² – by? = c². -

A: Differentiation problem

Q: f of If dx + In(7y), what is ? - дхду Select one: 1 7. а. дхду y y b. дхду - y + 7e?y С. дхду 1+e7y…

A: Option E is correct.  Make x constant

Q: do. Z=XSin.y.. ay? dx .2 3.

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Q: dy is If x? +2xy= y2, then dx A 2x+2y X-y B 2(x + 1) X +1 + |>

A: Given: x2+2xy=y2 The objective is to find dydx

Q: Find dy/dx2 in terms of x and y. y = x5 d?yldx? = %3D

A: y4=x5can be written asy=x54 differentiating with respective x dydx=ddxx54=54x54-1=54x14

Q: d' y Let y? 4x, then dx %3D

A: given  y2=4x differnciate with respect to x 2y dydx=4 dydx=42y=2yagain differntiate with respect to…

Q: Use the trapezoidal rule to find A, using the indicated value of n. dx; n=8 3 X +1 .....

A: Please refer the attached image for complete solution. THANK YOU.

Q: dy You need not expand your answer. dx Calculate y = (7x0.5 – x2)2

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Q: in the form u = Rcos (wot-6). √3 sint u=-cost + V

A: The given problem is to write the given trigonometric term in terms of single term as u =…

Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

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