8. Sketch the graph of the following piecewise-defined functions. (-2, if x <0 | 2, if x > 0 St² +4, if t <- 4 F14-t,ift>-4 a) f(x) = %3D b) f(t)

Q: 1. y" + 4y = 4 cos x + 3 sin x – 8 %3D -

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you wan...

Q: Find the intersection of the lines r(t) = (-1 – 2r, 15 + 41, 17 + 81) and R(s) = (25 + 7s, –10 – 5s,...

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Q: QUESTION 5 Differentiate a) (x2+1)ln(x+1) b)) 3 x3e3x

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Q: Find the inverse function of f (x) = x3+12

A: NOTE: Refresh your page if you can't see any equations. . to find an inverse function, interchange ...

Q: Test the series below for convergence using the Ratio Test. n+5 Σ 4n +4 n=1' The limit of the ratio ...

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Q: Find two unit vectors orthogonal to a = (4,-5, 3) and b = (-4,0, –3) Enter your answer so that the f...

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Q: (-금x+ 2, x 0 exist? If yes, give its value. If not, why?

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Q: Find (d^(2)y)/dx^2 if y=sin(x)cos(x)

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Q: 4. Which of the following is logically equivalent to (p V¬q)^(¬p V-¬q) ^(¬q Vr) а.)p b.)q с.) —р d.)...

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Q: Create your own examples. Formulate one given 3x3 equation (3 equations and 3 unknowns). Solve each ...

A: Let the system of equation be      x-y+z=42x+y+z=7-x-2y+2z=-1

Q: 12x (4x³ – 3)° dx (4 - 3)° +c 6(4x – 3)° + C 6 (4x° – 3)° + C (4x° – 3)° +C 4x° (x* – 3x)° + C

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Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and = ...

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Q: Use the appropriate multivariable chain rule to find the indicated derivative. a. Let w = f(x,y,z) =...

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect ...

Q: A single row operation was performed on the matrix on the left to produce the matrix on the right. U...

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Q: 3. The chemists say that between 0 C and 30 C, the volume V (in cubic cm) of 1 kg of water at temper...

A: The temperature at which water has minimum volume is T = 3.967°C

Q: Find the values of c that makes the function continuous on R -cz² + c² ifz < 5 f(x) = 8c – 822 if æ ...

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the cu...

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 4y2,   ...

A: We use the formula S=2π integration of y √(1+x'2)dy from 1 to 2

Q: 2. The daily number of calories needed by a reptile of weight x pounds can be approximated by the fu...

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Q: Find the derivative of y = sech ILe-x)

A: Topic:- derivatives

Q: Solve: x'y" - 7xy' + 41y =0

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Q: 27e + 39e 18e – 10e- Find the horizontal asymptotes of the curve y: Note: Give the exact answer but ...

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Q: x3+2` dx x2 x3

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Q: Given: y" + y = secxtanx а. Find ye b. Find u’1 & u'2 с. Find u, & u2 d. Find yp е. Find a general s...

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Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of t...

A: We will use the give solution as we are instructed.

Q: メL:6 g6)= の-=* メ L メフ メニム 1)

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Q: Solve ſ cot3 4x csc² 4x dx then evaluate the answer at x=22, C=26

A: ∫cot34x csc24x dx

Q: Solve the problem. A garden hose is spraying a stream of water at a box on the ground with a force o...

A: Force= 4.8 pounds , angle with ground= 30°  Find horizontal component of force 

Q: 2. х?уз- Зху %3 4х + у+1 at (0, - 1)

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Q: Find the limit of the function along the x-axis xy lim (x.y)-(0,0) x2 + y?

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Q: Consider the vector field F = (7x + 3y, 3x + 2y) Is this vector field Conservative? ( Conservative I...

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Q: Evaluate the integral 1- 25 ds VT- 25 ds

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Q: for an equivalence relation R on A, both sets, the class of equivalence classes of R —A/R— is a set.

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Q: QUESTION 3 Differentiate the following functions a) x7+2x5−3 x4+5 x3+10x−3 b) e(x+2)

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Q: If g = 2430°, simplify the expression sin(sin g). If undefined, enter Ø. Provide your answer below:

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Q: If f(x,y) = e* cos y then fyy (0,) is fyy (0) is

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Q: Find the derivative of the function. h(t) = + 9. h'(t) = Need Help? Read It Master it

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Q: Solve: x'y" - 2xy' + 2y =0 2_2)

A: Please refer to the image below 

Q: Use the Chain Rule to find dw for w = dt xe7,x = t2,y =1- t,z = 1+ 2t.

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Q: For t in years since 2010, daily oil consumption in China, in thousands of barrels, was approximated...

A: NOTE: Refresh your page if you can't see any equations. . here leading coefficient is positive and ...

Q: Find the derivative of the function. 7 x - 3 y'(x) = Need Help? Read It

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Q: Calculate the derivative of the following function. y=f(g(6x*)), where f and g are differentiable fo...

A: We have to find out

Q: Simplify the following trigonometric expression. cosx(secx- cosx)

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Q: x +1 dx (25 – x²) } X

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Q: Evalúa el conmutador [A, B], considerando las siguientes situaciones: a) A= d/dx B=x f(x)=xe2 bA= x ...

A: We will use the formula- [X^,p^]f(x)=x^[p^{f(x)}]- p^[x^{f(x)}]  

Q: Consider the function f(x) = x* – 72x² + 10, – 5 < r < 13. %3D The absolute maximum of f(x) (on the ...

A: topic - functions and application of derivatives

Q: Considering only the values of 0 for which csc 0(1+ cos 0)(1 – cos 0) is defined, which of the follo...

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Q: Use the indicated substitution to evaluate the integral. -3 cos x sin (sin x) dx , u= sin x 3 sin (s...

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Q: Problems 3. Let x= [2,1,4,8] and y= [1,3,6,2]. Calculate the following products : 4 4 4 b. П II * a....

A: Topic = Algera As per guidelines , At  a time only three sub-parts can be answered.

Q: Find a unit vector u in the direction opposite of (-8,-4,-9). u =

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