1. What is the instantaneous slope of y = 5 at x = 5?

Q: Evaluate the following integral using a trigonometric substitution. - 0.1 dx 64 – 4x² Round your ans...

A: Our Aim is to evaluate the following integral using a trigonometric substitution which is given belo...

Q: If an object moves along a line so that it is at y = f(x) = 9x-2x at time x (in seconds), find the i...

A: Given query is to find the instantaneous velocity of the object using derivative.

Q: Choose the correct graph of y = cos x, -T< x< T: 37 2

A: Given the query is find the graph of the cos function.

Q: 9+2u7 Match the integral expression on the left to its suitable transformation on the right, after u...

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Q: Let A= Hit oK lui B- 1it Hj t Ik %3D what b looine of the role butriern vetor A and B.?

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Q: 13 A spoke of a wheel makes 32 revolutions while the wheel is going 425 feet. Find the diameter of ...

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Q: dy Given the equation below, find dx 24x + 8x"y + y' 33 dy da Now, find the equation of the tangent ...

A: Given, the equation                             24x9+8x36y+y4=33 then diff. the above equation w.r. ...

Q: The graph of y =f (x) is given. Solve the inequality. f(x)<0

A: Given that: Graph of y=f(x)

Q: dy r +3x+3 Find if y= I + 2 da dy da

A: Given query is to find the derivative of the expression.

Q: If $2,000 is invested at 7% compounded monthly, what is the balance after 8 years? $3,601.84 $3,490....

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Q: 29. x10; e0.01x 30. x² In x; In?x 31. 32. In x; In (In x) 33. 100%; х* 34. 35. x20, 1.00001* 36. x10...

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Q: Find the DE of tge familiy of plane curves described and sketch some of its members 1. tanx-2x3y=c

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Q: Evaluate the following limits: z² + 4x – 12 3. lim 1² – 2x 191 S y² +5 _ify-2 4. lim g (y) where, g(...

A: 3. limx→2x2+4x-12x2-2x4.  limy→-2g(y), where g(y)=y2+5if y&lt;-23-3yif y≥-25.  limx→4z-2z-4

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest possible...

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Q: is dropped from a tower, 576 ft above the ground. The object's height above ground x seconds after t...

A: Topic:-  algebra   

Q: Find the slope of the function's graph at the given point. 8 Function: g(x) Point of g is at (10, 0....

A: This question is based on finding slope of a given function at a point.

Q: 5. Choose ONE of the phrases on the right that best describes the followings: Triangle law of vector...

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Q: 4. ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e

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Q: Consider two vector equations ℓ1 : ⟨x, y, z⟩ = ⟨3, 7, 4⟩ + t⟨2, 3, 1⟩, for some parameter t, ℓ2 : ⟨x...

A: Check the Ratio of direction ratios of both the lines. 

Q: 7. Use the definition of the derivative (long method/ increment method) to find the derivative of th...

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Q: Evaluate the position function r (t) if we have the velocity function and initial condi- tions. 1 6t...

A: Given

Q: Answer the following True or False: If h(r, y) is differentiable, then the slope of the tangent line...

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Q: Differentiate f(r)= (3x² + 10 – sin r)º. -

A: Given:- f(x) =(3x2+10-sin(x))  To find:- Derivative of f(x) 

Q: the first image is what u have to find for #2

A: Topic:- geometry  Note:- as per our guideline if more than three subparts  uploaded than only first ...

Q: Perform the indicated integrations. 1. S- ydy 25-16y 2. zdx 9+x2 dx 3. Jax-4x+5

A: since you have posted multiple question i can do first three question as per our company guidelines....

Q: E. DIFFERENTIATION Obtain the derivative of the following functions: (2r³-1)* (5-3x)* 8. y = 9. y= V...

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Q: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=...

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Q: If $2,000 is invested at 7% compounded monthly, the interest accrued in 8 years is $1,495.65. True ...

A: Topic = Algebra TRUE

Q: Differentiate the following function. y = x-1/5 y' = %3D

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

Q: ydx + x(Inx - Iny - 1) dy = 0, when x = 1, y = e %3D %3D sin6o V. -5 A

A: Given:- ydx+x(lnx-lny-1) dy=0  To find :- Solution of given differential equation when x=1 , y=e

Q: Perform the indicated operation and write the result in standard form. Select all values that are co...

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Q: A street light is mounted at the top of a 10 ft tall pole. A woman 6 ft tall walks away from the pol...

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Q: If VI + = 11 and y(9) = 64, find y' (9) by implicit differentiation.

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Q: Determine the equation of the tangent of the function, f(x) = 4−x / x+2 at x = 2.

A: The expression of the equation of the tangent line is: y-y0=mx-x0 Where, m is the slope of the tange...

Q: 10. Solve for the derivative of y IMPLICITLY 22 + Vx³ + 2y = y² %3D

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Q: 4 and y(4) 10, find y'(4) by implicit differentiation. If 2x + 3x + ry

A: We can perform the implicit differentiation to find the answer as below.

Q: da formula in each part below for the number of zebra m ay as a function of the number of years sinc...

A: We are asked to find the linear and exponential growth

Q: Which of the following is the formula for finding the distance between two points on the coordinate ...

A: The formula for finding distance between two points (x1,y1) and (x2,y2) is, d=(x2-x1)2+(y2-y1)2 Opti...

Q: - 2.4 p. 180/182 # 183 e following exercises, find the lengths of the functions of y over the given ...

A: Please refer to the image below

Q: Part A) What is im f(xh x-0 Part B) What is f(o) Part C) What is im f(x)> x-2 Pan D) What is im flxh...

A: a) limx→0f(x)=-1 b) f(0)=-1

Q: se the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 8. f(x) = 1+ - (x) =

A: Topic:- derivatives

Q: 6. Evaluate the following integral: [sin 8x cos 5x dx

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Q: Let V u R. It v 1s prpndioulnt be Vectors in to u, then my parpindientar to' u. nonzoco Malhple GU o...

A: topic - vectors

Q: Find the infinite sum (if it exists): 00 i=0 If the sum does not exists, type DNE in the answer blan...

A: We need to find the infinite sum.Below find the detailed solution in the image.

Q: Given the parametric equations, x = 3/t and y = t - 2, eliminate the parameter. y = --2 y = +2 y = +...

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Q: 2. dx 2. Solue integra

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Q: Here is the position function for projectile motion on the planet Glorg (gravity is different: g = 1...

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Q: To evaluate: The integral function x2 +x + 1 -dx. (x² + 1)²

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Q: Basic Skills 7-14. Substitution Review Evaluate the following integrals. dx | (9x – 2)3 dx 8. 7. (3 ...

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Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find...

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.