Drawing Example 1: Use the definition to find the derivative of the function f(x) = x? - 2x Solution:

Q: QUESTION: Find the area in the first quadrant bounded by the coordinate axes and the parabolic arc V...

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Q: Solve each triangle. Round answers to the nearest tenth. 9) 10) 12 13 31.9 B. 14 12) 11) 39 12.6 47 ...

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Q: Differentiate the function after first rewriting the function in a different form. (Do not use the p...

A: The objective of the question is rewrite the function in different form and determine it's derivativ...

Q: 3. The graph shows a hill walker's trek. She stopped for a rest at 12:00 and for lunch at 13:00. 11:...

A: Given, the distance-time graph of a hill walker's trek. We know that, the slope of a distance-time ...

Q: Not yet answered Marked out of 1 P Flag question Find the solution set of 5y-x=2 and x+y=1. О а. (1,...

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Q: 13 Use the Linear Approximation to estimate Af for f(x): when a = 2 and Ax = 2+x %3D (Use decimal no...

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Q: Error Analysis. Below is the sSolulion (possibly, wilth errors) for the derivative of the given func...

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Q: f(x) = -3x³ + 8x – 5

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Q: Let w(x, y, z) = x + y+ z where x = sin( 9t) , y = cos( dw dæ dy by first finding dt dz and using th...

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Q: 4 -2 -3 -4 -6구 The graph above is a transformation of the function f(x) = |x| Write an equation for ...

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Q: Solve the separable equation using the integral factor  y⁴ y¹ + y¹ + x² + 1 = 0

A: Here, the given differential equation is: y4y'+y'+x4+1=0⇒y'(y4+1)=-(x4+1)⇒(y4+1)dydx=-(x4+1)⇒(y4+1)d...

Q: 17 O. 32 B Find the measure of each side indicated. Round to the nearest tenth. 5) 6) 43 6. 57 43° C...

A: Topic:- Geometry

Q: Math 150 PO1 Homework: HW 2.6 Part 1 Applications of Derivatives Question 8, Instructor-created ques...

A: height of ball is given by f(t)=-16t2+298t+22 we want to find velocity of ball at height 120 feet

Q: #) =+2x9ー5×y +3, fnd: (a) Oz そe dy

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Q: 3x+4 > [1] S dx x² +3x+2

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Q: 16) Find [2 f(x) - 3g(x) ]' = at x = 1 A) - 9 B) 11 C) - 1 D) 7 17) Find [g(x)f (x) ]'=_ at x = 3 A)...

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Q: 28. Show that D = 0 for f(x, y) =x + (x- y) and that the function has no relative extrema.

A: Given: fx,y=x3+x-y2 To calculate the critical points, ∂f∂x=0 ; ∂f∂y=0

Q: Answer the following True or False: d. (Бл? + 2т + 8) d. sin a Since 10x +2 and cos T, the chain rul...

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Q: The equation of motion of a particle is s = 2 - 912 + 4t + 2, where s is in meters and t is in secon...

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Q: Answer the following True or False: Since the chain and product rules give: d f(r) da g(x) d. f(x)(g...

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Q: 27 = %3D 2

A: This is decimal to binary conversion.We will find the given number from base 10 to base 2.Below find...

Q: Consider the function f(x) whose second derivative is f"(x) = 10x + 10 sin(x). If f(0) = 4 and f'(0)...

A: Given that: f''(x)=10x+10sinx

Q: The equation of the plane through the point (2, 5, 7) that is parallel to the line 7(t) = 3î + 2 – 2...

A: Explained below 

Q: Let us say that you are planning to calculate the volume of the space inside a can that is about 3 i...

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Q: e equation of the tangent line to the curve y = . at the point (3,- ) ) is x+16y +11=0 x+8y - 7 = 0 ...

A: Topic:- calculus

Q: x + 5 ½ = 20 Find x.

A: Given              x + 5^(1/2) =20

Q: (-1)-1 n!/3 n=1 3.

A: In this question we have to find series is converges or not.

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f...

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

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Q: Find the general solution to y = -e*y² + y +e²

A: Given first order differential equation is solved by using integrating factor.

Q: Assume that the radius r of a sphere is expanding at a rate of 80 cm/min. The volume of a sphere is ...

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Q: Write the equation of the line tangent to the graph of the function at the indicated point. As a che...

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Q: 5) B 57 43° A 12 Y 7) 64° 7 C Solve each triangle. Round

A: Given that:             NOTE: As per our answering guidelines, we can only answer 1 question or 3 su...

Q: Find the derivative of the function using the definition of derivative. 1- 2t G(t) = 3 +t G'(t) = St...

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Q: Use logarithmic differentiation to find dy/dx. = x* - 2 x > 0 dy %3D dx

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Q: # 8.) (8 # dy + Bernoulli s D.E, dx - 3xy2 dx =0> DET. THE GEN, soL'N OF THE D.E.

A: As we know that; The standard form of Bernoulli's equation is; dydx+Py=Qyn Where; P& Q is the fu...

Q: 49. Let x = 0.99999 . . . . (a) Do you think that x< 1 or x= 1? (b) Sum a geometric series to find t...

A: Let's find. 

Q: Find the measure of each sic 5) 43° 57 C 12 Y A 64° 7

A: Given that:                       

Q: Let f(x) = 2x + 2x 5 Use the limit definition of the derivative to calculate the derivative of f: f'...

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Q: t y = t dy Find dx 1 8t dy dx t dy Find dt dy dt + II II

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Q: Find the area bounded by the curve y=4sinx and the x-axis from x=1/3 to x=1. O 6 sq. units O 8 sq. u...

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Q: If f(x) = (a + 3r + 2)", then f'(x) - f'(1) =

A: To find out f'(x) and f'(1). 

Q: 3. Given r(t) = 12ti + 5cos t j + 5 sin t k , find the unit binormal vector and torsion.

A: Given that: r(t)=12ti+5cost.j+5sint.k

Q: 5. Determine the length of the cable.

A: Follow the procedure given below.

Q: 7 Consider the function f(x) 10 Let F(x) be the antiderivative of f(æ) with F(1) = 0. Then F(x) =

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Q: Let F(x) = f(r°) and G(r) = (f(x))° . You also know that a = 12, f(a) = 2, ƒ'(a) = 15, f'(aº) = 5 Th...

A: We know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: Fx=fx9 ; Gx=fx9a8=12...

Q: What is the slope of the tangent line passing through y = x^2 − 3x − 5 at (−1, −1)?

A: According to our guidelines, In case of multiple questions we are supposed to answer the first quest...

Q: A cup of hot coffee is placed in a cold room.  The temperature (in degrees Fahrenheit) of the coffee...

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Q: Find the equation of the curve at every point of which, the tangent line has a slope of 2x.

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Q: Find the equation for the plane through the points Pol- 1,5,- 3), Qo(-5,4.2), and Ro(3, -5,0). Using...

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