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Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

A: To solve the equation for L, 

Q: III. Multiple Choice: Choose the correct answer and write the letter of your choice on the ANSWER SH...

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Q: Evaluate the integral: V13 – 162"dz (A) Which trig substitution is correct for this integral? 1 Ox =...

A: We have to find

Q: Which angles have the same sine value? and 3. O T and 3 3 o 4T and 3 - 3 and 3 3

A: As we know that from the trigonometric identities; 1). sinπ+x=-sinx2). sinπ-x=sinx   And 3). sinπ3=3...

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) 5 sin(3x) sin(6x) dx

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Q: Let Q (p) : %3D p+1 (a) Calculate the derivative Q' (p) (b) Calculate the quotient Q (p + 4) – Q (p)...

A: Using derivative formula.

Q: Question 1 Find the limit. lim, 0(1 + 12x )" where r = 10/x. Write the exact answer. Upload your wor...

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Q: 3. S dx xVx6 – 1

A: Here we have to solve the given integration.     ∫dx/{x√(x6-1)}

Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration    

Q: If f(x) = 5-(3/x)+(1/2x^2), then f'(x)

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant an...

Q: Find the equation of the tangent line to the curve y 8 sin r at the point The equation of this tange...

A: Given query is to find the equation of tangent line. Since slope of  tangent is given by derivative ...

Q: Find the volume of a solid obtained by rotating the region underneath the graph of f(x) = 28 – 7x² a...

A: Topic = Volume

Q: Find the area of the surface obtained by rotatin the curve y = Va about the y - axis for 64 < x < 10...

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Q: 27 4 1422 Evaluate the integral: 36 - (A) Which trig substitution is correct for this integral? Ox =...

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Q: Find the equation of an ellipse with center at (2,-2), vertex at (7,-2) and focus at (4,-2)? O (x + ...

A: We have to find the equation of ellipse

Q: A block-and-tackle pulley hoist is suspended in a warehouse by ropes of lengths 2 m and 3 m. The hoi...

A: Draw a free body diagram.

Q: The center and radius of 4x2 +24x + 36 + 4y?-8y 100 is O Center: (3,-1); radius = 26 %3D O Center: (...

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: Find each value of e in degrees (0° < e < 90°) and radians (0 < e < 7/2) without using a calculator....

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Q: If f(x) find: 7+x2 f'(x)-

A: The solution are next step is

Q: a.) Sketch the solid obtained by revolving the region under the graph of f = x2 about the x-axis ove...

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Q: Whic of the following is NOT a solution of 2 sin? t – cost - 1 = 0 if 0 <t < 2n ?

A: Follow the procedure given below.

Q: 5T is equivalent to 12 The expression csc 1- 2 sin? 12 1 Cos 6. - 1- cos 6. 5 2 cos? 6 - 2]

A: Topic = Trigonometry Correct option  csc5π12=21-cos5π6  

Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: 1/3 1/6 Find all real solutions to 2x3 – 4x6 – 6=0. -

A: Given:      2x13- 4x16 - 6=0

Q: x-3 Given the reciprocal function, x+5 A] Identify the vertical asymptote (x-int) and the horizontal...

A: The given problem is solved below in detail.

Q: =(x) ,, } %3D

A: Given; f(x)=3+√x.

Q: Use the given functions to find each of the following and their respective domains. Do not try to si...

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Q: If f(x) – 5 + 3x 5a, find f'(3).

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y? ...

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Q: f(x) then: f'(x) = f'(1) -

A: We are asked to find the derivatives of the function.

Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: Find the augmented matrix of the following system of linear equations: X2 + x4 = 2 3x1 – x2 = -1 %3D

A: NOTE: Refresh your page if you can't see any equations. . given equations are . rewrite the system...

Q: 12. An arrow shot straight up from ground level with an initial velocity of 128 feet per second will...

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Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = x² + 2 and y...

A: The given curves are: y=x2+2        ....1y=34-x2      .....2  To find the volume of the solid obtain...

Q: Let f(r) Find the values of x where f'(x) = 7. I + 8 Give exact answers (not decimal approximations)...

A: We will find the solution of given function as shown below

Q: 1. y = x + 3V72. y = x - 3V 3. y = 3x"4. y = -5x + 25. y

A: Since you have asked multiple question, we will solve the first 3 subparts question for you as per o...

Q: Use the Linear Approximation to f(x, y) = V at (81, 16) to estimate 15.9 (Use decimal notation. Give...

A: Given:     f,(x,y) = √(x/y)      Point: (81, 16 )    Approximation : √(81.1/15.9)

Q: Solve correct to 2 decimal places. 9(5)* = 42 %3D

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Q: Write a full solution Let consider the following function: f (x) = 2(x + 1)^2 −8. A) Find the x...

A: topic - x and y intercept of a function

Q: 5. Where is the absolute value function f(x) = |x| differentiable?

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Q: Find the derivative of the following functions using the limit definition. 1. y = x² – 4x – 5 -

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Q: vis question has several parts that must be completed sequentially. If you skip a part of the questi...

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Q: Points A and B have position vectors a = 2i + 3j – 4k and b = 2i – j + 2k. Point C has position vect...

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Q: Find the limit if it exists. lim (3x+ 8) X -4 ... Select the correct choice below and, if necessary,...

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Q: b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and 1 y =x +1 as shown ...

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Q: differentiate the following function: 1. f(x)=3-2x+4x^2 2.  3.

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Q: Complete the table below to identify the limit.Round all numbers to 3 decimal places. I – 2 lim I→2 ...

A: We have to find limit

Q: 7. Compute , and- axay : f(x,y) = (x + y)(2x + y)² ax 'ay

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Q: Evaluate the integral: ap- (A) Which trig substitution is correct for this integral? Or = 10 tan(0) ...

A: