Find the slope of the graph of the function at the given point. 256 f(x) = (4, 1) f'(4) =

Q: Evaluate the integrand S(2 + 5x)e dx using IBP. A. 5xe – 39e* + c B. 15xe – 39e* +c c. 15xe* – 9e* +...

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Q: sinh(3r) 3. Solve for fe)(r) given that S(r)%3= 3

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Q: The area enclosed by the curve x² + y? = 25 is revolved about the line x -10=0. Find the volume gene...

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Q: Determine Whether the series is convedesnt Lo divegent. Write the exact Lrt that you Us e, Sin(-2

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Q: Let h, r be constants. Consider the quadric surface S of equation (x – h)? (y – 1)² (z – r)2 9 3 The...

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Q: Determination of Integrating Factors : Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 2x2 - xy...

A: We have to find the Integral factor and solve the equation. 

Q: 1 2 3 v(t) 30 50 40 60 The table above gives the velocity v(t), in miles per hour, of a truck at sel...

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Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: "4 rseco sin 20 dp do d0 0. 0,

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Q: Thus, for f(x): %3D x2 - 9 , if x 0 f-x) = %3D if x = 0

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Q: Draw a sketch of a function that satisfies the following conditions. S(x) 0 for x>2 S(2) =0 S(x) 0 ...

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Q: 1- V1+ 36x2 Let f-(x) = 2x V1+ 36x? 2x f(f-(x)) %3D 1. V1+36x 6. - 2x

A: Here, the given function is: f-1(x)=1-1+36x22x Let, f-1(x)=y⇒y=1-1+36x22x⇒2xy-1=-1+36x2⇒(2xy-1)2=1+3...

Q: Determine whether the series is convergent or divergent.Write the exact test that you Use. 00 2. n=1

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Q: Use your khowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Here we are using simple differentiation method. First find out the first derivative of z then the s...

Q: Convert the equation   f(t)=234(0.92)^t to the form  f(t)=ae^kt

A: This question can be solved using the properties of natural logarithm.

Q: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

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Q: I. Define the function S(In(r + 1)] cosha+ tan a ,r 2 0 (sinh r) sec- (r- 2) S(r) = %3D ,r < 0 1. Sh...

A: Since you have posted multiple questions, we will answer the first one for you, to get the remaining...

Q: Let a = ci + j and b = 7i + 24j. Find c so that the angle between a and b is Round your answers to f...

A: Given problem:- Leta = ci + j and b = 7i+24j. Find c so that the angle between a and b is π/6

Q: Question 14 Evaluate and simplify the integral x +æ+3 a4+6x2+9 Show your solution. Upload Choose a F...

A: A detailed solution is given below

Q: Let z ax y + bx'y?, with a and b constant. P is a point given by (1, 1) and it is known that az (Р) ...

A: Solution is written in below steps.

Q: Find the surface area generated by revolving about the y-axis that part of the curve y = In x lying ...

A: Solution We have to find the Surface area generated by revolving about the y-axis the part of curve ...

Q: Compute the volume bounded by y=x2-2x and 3y + 2x?-27 = O when it ís revolved around the y-azis. A. ...

A: Note: According to our expert guidelines only first individual question is to be answered.kindly rep...

Q: Simplify (1 – cos² A)(1+ cot² A). COS

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: If f is continuous over the interval [a,b] and F (x) is any antiderivative of f(x) then f(x)dx F(b)-...

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Q: The simple solid Q, drawn in the first octant and generated by the surfaces y – 1 = (x – 2)² 3x + 2z...

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Q: a. Consider the circle, x2 + 6x + y? + 18y + 89 = 0 i) Write the equation of the circle in standard ...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Let a = ci + jand b = 16i + 12j. Find c so that the angle between a and b is- 6° Round your answers ...

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Q: Solve the following differential equations of -cos(y)·y'+sin(y)=x Linear Differential Equation

A: Let's find. 

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: बिले (x-1) (x+1)

A: solution )∫x/(x+1)2(x- 1) = I use of integration of partial fraction  x/(x +1) 2( x - 1 )  A/(x + 1 ...

Q: QUESTION 3 Determine if the series converges or diverges. If the series converges, find its sum. If ...

A: Please refer to the image below

Q: Reciprocal Substitution – x³ )/3 dx

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Q: The sequence that begins 1 1 1 1 3? 4 5 6? could be ... 2 O a Fibonacci sequence. O a harmonic seque...

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Q: Michael needs Php 10,000 for the renovation of their house. If he will apply for a discounted one ye...

A: Simple interest(I) of principal amount P, with rate of interest r% for t years is given by, I= Prt/1...

Q: Convert e = 10 to an equation in polar coordinates of the form r = f(0). (Use symbolic notation and ...

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Q: Find the surface area generated by revolving about the y-axis the curve x? – y? = a² from y = 0 to y...

A: we have to find the surface area.

Q: Find the dy/dx of the following function using Chain Rule. y=(-5x3 - 3)3

A: Find the dy/dx of the following function using Chain Rule.

Q: Prove Vr, y E Z, if ry is even and y is odd, then r+y is odd.

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Q: Express the following degrees to radian measure. 1) 75 2) 240 3) 340 4) 620

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: Find the area of the region bounded above by y = -x2-3x-2 and below by y = -2. AY 51 4 3 54 32 t 1 2...

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Q: Determine whether the series is convergentor divergent.Write the exact test that yOU Use, cosCnT)

A: Given series convergent or divergent using limit test.  

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 20j as ...

A: By using vectors we have to find the lengths of the diagonals of the parallelogram that has i+j and ...

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: Use Bisection Method to find the root of æ + 10x? – 5 0 that lies in the interval (0, 1) to four-dig...

A: We have to find the root of the given cubic equation using bisection method.

Q: Sketch a graph of the equation. x + 2y + 16 = 0 10 4 石54324 45 6 789 車 No Solution -7

A: Topic:- geometry  In your answer x  intercept is not correct.  

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

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Q: Solve for the Linear Differential Equation: y' + y = sin(e^x)

A: Given differential equation is y'+y=sin(ex)

Q: Sketch the region bounded by the graphs of y = v1-x, y 1-, and y = 0. Find the volume of the solid o...

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Q: Find the area of the parallelogram that has u = 2i – 2j +k and v = j+ 3k as adjacent sides. NOTE: En...

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