Find the lengths of the unknown sides in the right triangle.

Q: in your own words, discuss the relationship between the slope of the tangent line, the derivative of...

A: slope of the tangent line, the derivative of a function using the limit process.

Q: Find x' for x(t) defined implicitly by x +tx+t° - 4 = 0 and then evaluate x' at the point (-2,-6). x...

A: We have to find the value of x' at point (-2, -6) 

Q: 6y" + y' - y = 0 is yı =e*³. Use the method of reduction of order to find a second linearly independ...

A: Topic:- Solution of differential equations

Q: Determine whether the integral is convergent or divergent. The integral from 0 to 11, 1/(11-x)^1/3 d...

A: The given integral is  ∫011 1(11-x)13dx  

Q: Write the first five terms of the sequence: +00 11 ln n) n Determine whether the sequence converges,...

A: Given

Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: 2x+3dydx =y+y22x+312

Q: Se2*dx 8.

A:

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

A:

Q: Does the parabola y = 3x - 26x + 4 have a tangent whose slope is - 2? If so, find an equation for th...

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Q: Set up the definite integral that gives the area of the region. Y1 = x2 + 2x + 4 Y2 = 2x + 8 dx -2

A:

Q: tan³ 2x r3 lim x→0

A: Given that: limx→0tan32xx3

Q: x(x²-x+2) dx is equal to 3

A:

Q: In Exercises I through 8 use the parallelogram law to form the sum and difference of the given compl...

A:

Q: Use implicit differentiation to find y' and then evaluate y' at (3,0). 9 ey =x? - y? y' = y' (3,0) =...

A: Let's find. 

Q: - ydx + x(Inx – Iny - 1) dy = 0, when x = 1, y = e %3D

A: Let's find. 

Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

A:

Q: The acceleration of a moving particle at any time t is given by expression 6t – 24. Find the positio...

A: given acceleration a(t)=6t-24  

Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x²) dy = 0 is

A:

Q: Write the first five terms of the sequence: +00 |{Vn² + 2n – n}n=1 Determine whether the sequence co...

A:

Q: c x(x²-x+2) dx is equal to 3

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Q: Express the following functions in terms of function f where y=f(x). Professor Lapan's Helpful Hint...

A: We can solve both the part as below as per the instructions of Professor Lapan's Helpful Hint:.

Q: Evaluate the integral. Don’t skip any steps.

A:

Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: A) Determines the intersection of the lines: r, (t) = (1,4,0) + t(-2,1,1) and r,(s): x = 2- 3s,y = 1...

A: Solve for graph and plane. 

Q: Identify and sketch the following quadric surfaces. Label the vertex/vertices in your sketch. (b)  ...

A:

Q: Implicitly derive all variables in terms of x. Equate the derivative in terms of y'. Simplification ...

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Q: 32xdx

A:

Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the eq...

A:

Q: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy- 12=0,...

A: Topic = Functions

Q: how to solve cos(arcsin[3/5])

A:

Q: dx (3 + 4x – 4x²)/2

A: NOTE: Refresh your page if you can't see any equations. . add and subtract 1/4 ..................

Q: 23) Find x=72+\/72+J72+. . - A) 72 B) 7 C) 8 D) 9

A:

Q: 3) Using Quotient Rule ()'=€'gfg),find (±)' = (3×/eX)' = A) (3/e)X[In3-1] B) (3/e)x-1 C) 3×ln3/eX D)...

A: Topic:- derivatives   

Q: Given the matrix A= 3. Find 1. 2. QR factorization of the matrs A.

A: NOTE: Refresh your page if you can't see any equations. . 3 column vectors of matrix A are

Q: a, Compute the Laplace transform Lf(s) of the function f(x) = x for s > 0. See Exercises 88–91 in Se...

A: Given that: a. f(x)=xb. f(x)=x2eαx

Q: Evaluate the integral. Show all your work. dx (x² – 1)32

A:

Q: Calculate the improper integral if it converges, or show that it diverges. 3x4 dx 5 – 1 -

A:

Q: Assume cos(t) = - where <t <a. Compute the following %3D cos(-t) = sin(t) = sin(-t) =U sin(-t) + cos...

A: topic - trigonometric ratios sin(-x)=-sin(x) cos(-x)=cos(x) sin2(x)+cox2(x)=1

Q: The velocity of a moving particle at any time t is given by expression 12t2 + 10t +7. If when t = 1,...

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Q: Use the parallelogram law to verify the triangle inequality |u + v| < Ju] + ]v[ for the given comple...

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Q: 1. Verify the two given function forms as a fundamental set of solutions of the DE on (-0,0) Check t...

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Q: secx dx csc x 4

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Q: 33x+15 h(x) = x*+11x

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Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A: Given :xy-2x-8=0x=2

Q: 용 -6 -5 -3 -2 3 6 -2 -4 -5- -6 -7 lim f(x) = Enter the limit. If the limit is o, enter oo. If the li...

A: Topic:- limits   

Q: x-7x3+101 g(x) = ズー1

A:

Q: Use the technique of completing the square to evaluate the following integrals. 163. 1. .2 + 10x

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Q: Determine the sum of the measures of the interior angles of the indicated polygon. Octagon The sum o...

A: topic- polygons and angles