Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0) f'(0)

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find. 

Q: : Solve-Using D-operator dy dx + 3y – 5x - e-t = 0 dt %3D dt dx dy 2- dt +x +y-3 = 0 dt

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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: Question 7 of 11 > Convert to an equation in rectangular coordinates. r = cos (0) – sin (0) (Express...

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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 dz (Р...

A: Given

Q: dz Solve dx log (log 2)². z =

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

A: topic - vectors

Q: Evaluate f sec x dx.

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Q: Being u, w positive values. Based on the information in the figure, select the couple that denotes, ...

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Q: Calculate the error of approximation E, for: f(x) = v3x + when x = 8. Ax = dx = 0.1

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Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

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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...

A: from given table t0=0, t1=1, t2=2 and t3=3v(t0)=30, v( t1)=50, v(t2)=40 and v(t3)=60Distance travele...

Q: Example 1: Find the vector, parametric, and symmetric equations for the line through the point (1, 0...

A: To find the vector, parametric, and symmetric equations for the line through the point 1, 0, -3 and ...

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

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Q: a(t) =D 글 i+ j+ cott k. Find v(t) if

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Q: Get the integral of ſe*sin x dx using integration by parts c. e*(sinx – cos x) + c D. -e*(sinx – cos...

A: The integration of the integral is exsinx. 

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

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Q: what is the smallest positive integer greater than 1 that divides the number 7^2021-13^2021

A: here 7×2021-13×2021  =2021(7-13)                                       =2021(-6)                    ...

Q: Given f(x,y) = 4x sin(5xy). Find fyy(4,5). Give you answer correct to two decimal places. Answer:

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Q: (2) V+ Vx? + Va 4x2+2yx2-Vx+1 4x2+2x2+Vx-1 (a) (b) 4x2+2/x²+vx+1 4xZ–2,x²+vx+1 (c) (d) O b O d a

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Q: Giving a precise mathematical description of natural phenomenon can be quite difficult. It is often ...

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Q: all X 0<X < 00 0 خيار 2 0 خيار 3 12X23 -2 SYS 2 الخيار رقم 1 0 خيار 5

A: Find your answer below 

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. 2n + 1 (b)...

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Q: Let a = ci +j andb = 3i + 4j. Find c so that the angle between a and b is. Round your answers to fou...

A: Topic = Vectors

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: PROVE: 1+ sin a 1- sin a CSc a + 1 CSc a

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

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Q: Find the centroid of the solid of revolution bounded by the curves x2y = 4, x = 1, x = 4 and y= 0, r...

A: Find your answer below 

Q: Question 7 of 11 > Convert to an equation in rectangular coordinates. 6. r = cos (0) – sin (0) (Expr...

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Q: Q Give Some definitio ns to the Best approximation you know, and then glve the Sufficiet condition f...

A: We have to write about best approximation method

Q: EXPLAIN ON HOW YOU WILL SOLVE FOR THE LIMITS OF TRANSCENDENTAL FUNCTIONS USING TABLE OF VALUES AND G...

A: This is a problem of limit of function. By using the left hand side and right hand side limit we wil...

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

A: topic - area of parallelogram using vectors

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: 3x-28х+49 Зx-7х a. Simplify : i) ii) /x'y . /xy. Write the answer in radical form. b. Solve the equa...

A: i)=3x2-28x+493x2-7x=3x2-7x-21x+493x2-7x=(x-7)(3x-7)3x2-7x=(x-7)(3x-7)x(3x-7)=x-7xor=1-7x

Q: Example 2: Find the parametric and symmetric equations of the line through the points (1, 2, 0) and ...

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Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: Let's find. 

Q: Find dy/dx of the following function using Chain Rule. y=(-3x5 +1)3

A: we use chain rule for differentiation y=(-3x5 +1)3 dy/dx =3(-3x5 +1)2(-15x4) dy/dx = -45x4(-3x5 +1)2...

Q: Find the fifth partial sum, S5 = C-1 4()"* n-1 Write as a fraction reduced to lowest n=1 terms in th...

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Q: Q2: Sketch the polar function r = 6 cos 30 ,-n <0 < T

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Q: Determine the volume of the solid obtained by rotating the portion of the region bounded by y = x^ (...

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

Q: Find the area of the triangle with vertices P(1,6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the exa...

A: Finding the Area by taking the vectors

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

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Q: Use Newton's method to approximate a root of the equation 3x+ 8a* + 2 = 0 as follows. Let 1 1 be the...

A: By using Newton's method to approximate a root of the equation 3x7+8x4+2=0.

Q: What is the area bounded by the curve x² = -9y and the line y +1 = 0 ? A. 4 sq.units B. 2 sq.units c...

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

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

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Q: A baseball is batted straight upward. Neglecting air resistance, the velocity v (in feet per second)...

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Q: Find the area of the triangle with vertices P(1, 6, –6), Q(0,0,0) and R(3, 4, 1). NOTE: Enter the ex...

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Q: solution. Box your final answer. 1. Find the height of a right circular cylinder of maximum volume t...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...