rcos(z) d (32) Find the derivative: dx V1- t?dt 1

Q: dx sinx+cosx

A: Follow the procedure given below.

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Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: Test whether the differential equations are exact and solve those that are. I- y = %3D 2yt+1 -2xy…

A: Given

Q: 03/ The dimensions of a rectangular solid at a given instant (t.) are : L(t) 13 cm. W(t)-9 cm. H(t.)…

A: Given problem:- The dimensions of a rectangular solid at a given instant (t0) are: L(t )=13 cm.…

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Q: The limit lim (x c 1 X• COS is an indeterminate form of type 0· o. Select one: True O False

A: Given: limx→∞x·cos1x   As we know that; limx→afx·gx=limx→afx·limx→agx

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Q: 4. The range of the function h(x)=0.5f(-x) +2 where f(x) = 4* is: A) {y eR|y>2} B) {yeR|y>0.5} C)…

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Q: PROBLEM 5: Find the general solution to the given differential equation using a method of your…

A: The differential equation Mdx+Ndy=0 is said to be exact if ∂M∂y=∂N∂x. The Solution of the…

Q: 7. Determine the value(s) of x where the slope of the tangent line is horizontal. Use exact values.

A: If slope of the tangent line is horizontal ,set dydx=0.

Q: '1– 3* dx 5x

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Q: Find the area bounded by: y=x³+ 1 and y=x+ 1.

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Q: 6. the vorume formed by revolving about OY the area in the first quadrant bounded by y-4ax, y-D0,…

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Q: Q2/Test whether the differential equations are exact and solve those that are. (Answer only two) -y2…

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Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: [[ 12y dA; R is bounded by y = 2-r, y = VT, and y = 0.

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Q: Find dy If y=1-t and x2 dx

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Q: y = 5x2 – 3x – 4 | | Finding the derivative of y: y = 5x? – 3x – 4 y' = 10x – 3 Finding the…

A: A detailed solution is given below.

Q: Suppose that f(z, y) = z² - zy + y? – 5z + 5y with z? + y? < 25. 25 1. Absolute minimum of f(x, y)…

A: We have to solve the maxima minima problem.

Q: -9dx xVx2-9

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Q: 7) -U(X-2)(x+3)" (5x-1)(7x+ 2) 3х+13 6) 57 In7x+2+c) (ans.: In 5x 2х -3 7)Sー (ans.: -Im,x-1+ Im,x-2-…

A: ∫1ax+b dx =1alnax+b+C Note :As per our guidelines , we can solve first question .Please repost…

Q: MY NOTE A projectile is shot upward from the surface of Earth with an Initial velocity of 140 meters…

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Q: Write an equation of the form y=a sin bx or y=a cos bx to describe the graph below.

A: Question- Write an equation of the form y=a sin bx or y= a cos bx.  to describe the graph .

Q: Given that sin a = and cos b = -, and a and b are in the interval , ), find sin (a + b) and cos (a -…

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Q: Use the series to evaluate the limit 1 tan- y – siny lim y→0 y3cosy

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Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

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Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

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Q: 1- cotu dx du (a) cosu. dx du (b) -sinu. dx (c) - csc?u. du du (d) -cscu. cotu dx (e) None of these…

A: Given problem:-

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 OProve that…

A: given : f(x) = 8/(x-7)(x-1)

Q: Given the Folowing condition r give an example and explain your an swer. 8 00 a. bn is convergent…

A: p-series Test : ∑n=1∞1np is convergent if p&gt;1 and divergent if p≤1.

Q: (27) Evaluate the integral: 1 IP: 5t + 4)2.7 dt

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Q: Which equations parameterize the line from (3, 0) to (-2,-5) so that the line is at (3, 0) at t = 0,…

A: We know that the parametric equations of the line from x0, y0 to x1, y1 are given by xt = x0 + x1-x0…

Q: Let (8, 6) be a point on the terminal side of 0. Find the exact values of cos 0, csc 0, and tan 0.

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Q: (zx" xy') dx:-3xy dy

A: Given that a differential equations and we solve this problem by using general property of…

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

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

Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: Write in logarithmic form. 45/2 = 32 log 232 O A. = 4 log 54 5 O B. log 432 = 5 Oc. log 54 = 2 5 O…

A: We want to write the given expression in logrithmic form.

Q: -2 Evaluate dx ех

A: The objective of the question is evaluate the definite integral.

Q: (a)5°C =? to Fahrenheit ​(b) 33°F=?to Celsius

A: Given linear equation y=5/9​(x−​32) Here x is in degrees and y is in Farhanheit

Q: rable below shows interva IS where f(x) and f"(X) ure Positive und negati ve. COpy the áxis beluw,…

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Q: 8) Find the limit (exact value) a) lim Vy - 3y – y ytoo tan ax b) lim- x→0 sin bx (a ±0,b± 0)

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Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L X→a 8 Prove that…

A: use the definition of limit to simplify it

Q: d Cos(2) (32) Find the derivative: dx V1 – t?dt

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Q: 1 lim xcosx Xcos x

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Q: -2ln(cosx 03. lim,0 .2

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