Question 3 Given f (x) = 2x and g (x) = 4x + 3. Evaluate g (f (-)). (E)

Q: Find the point of tangency and equation of the tangent line of the following functions given a singl...

A: First we find slope of the function y=5x2-x dydx=10x-1dydxx=1=10(1)-1dydxx=1=10-1dydxx=1=9 At x=1, y...

Q: Find the magnitude of v. V = 4i ||v||3=

A: Let, v→=xi^ then, V→=x2 =x.This is the formula of magnitude of v→

Q: y' – y = 5.2 .3 xy' = 2y + x°e*t ху %3D

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Q: Find the Maclaurin series for the function f(x) : = x 7* and choose the correct answer from the foll...

A: The given function is f(x)=x7x.

Q: solve and equation using separation of variables e^y dx - x^2 dy = 0

A: First separate x variable and y variable and then integrate.

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 8x + 1), (8, 0) y ...

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and indica...

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Q: A. Determine whether the graphs of the following are continuous or not. Write yes if it is. Otherwis...

A: 6. Yes because exponential function is always differentiable.  7. Yes because it is everywhere diffe...

Q: sin () tan r V57 – x³e2¤ 2. Find the derivative of f(x) = using logarithmic differentiation.

A:

Q: The Taylor series for f(x) = e" at a = -1 is > Cn (x + 1)". n=0 Find the first few coefficients. CO ...

A: Taylor series for f(x) at a  is given by f(x)=f(a)+f'(a)(x-a)1!+f''(a)(x-a)22!+f'''(a)(x-a)33!+f'v(a...

Q: Find the Maclaurin series of each of the following functions by using one of the series listed in th...

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Q: 1- Find the vector P P2 and P2P1 a - P.(3,2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) P1(0,3,3), P2...

A: To find the vector P1P2 & P2P1

Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (En...

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Q: lim an lim 2 ニ2,

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Q: By-1 dy 2y+1

A: We have to solve given indefinite integral.

Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: Given u = , v = -5i - j, and w (AB) is defined by the points (1, 6) and (-2, 8). a Find v in compone...

A: This is  a problem of vector. By dissolving vector in x and y parts we will convert it into componen...

Q: State the order of the given ordinary differential equation. (sin 8)y" - (cos 0)y' = 9 Determine whe...

A: Find your answer below 

Q: In the given first-order differential equation below, (ху?- х)аx- (x?у+y)dy-D0; y(1) -2 (i) Identify...

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Q: Find C so that the line y = 4x + 3 is tangent to the curve y x2 + C.

A: The given equations are y=4x+3 y=x2+c. 

Q: If a ball is thrown vertically upward with a velocity of 80 ft/s, then its height after t sections i...

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Q: п — 3 - an

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Q: Find the coordinates of the point P on the line and a vector v parallel to the line x = 3t, y = 1 – ...

A: Given parametric equation of line x=3t, y=1-t, z=3+5t

Q: Verify that the points are the vertices of a parallelogram, and find its area. A(1, 1, 3), B(-7, 5, ...

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Q: Find A csc (x) = sec (3A-x) Ans. π/6   Please include the explanation on the solution. Thank you...

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Q: The numerical value of the improper integral (tx) 3 dx is equal to (x*+1) 2 - 00

A: Please see the answer below.

Q: 00 (x)3 The numerical value of the improper integral dr is equal to .... ... (x++1)? -00

A: To find the numerical value of the given improper integral.

Q: f(x) = V3x–1 c = 1

A: As we know that; If the function fx is continuous at x=c then, limx→c-fx=limx→c+fx=finite value=fcor...

Q: Consider the following graph. (4, 5) (1, 3) 1. (a) Find the component form of the vector v. (V, V2) ...

A: Given a graph showing the vector. 

Q: Exercise 1 Plot the point (1,–1,-/6) in rectangular coordinates, then find the corresponding ,-1, sp...

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Q: 3. A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German...

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Q: Evaluate the lino integral y+ + (4+2-x>y +2が Where C consitts of line segments from 0,-,2) to (2,-1,...

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Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum...

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 14j as ...

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Q: Consider the following two series A = EE" and - B = n=1 n=1 Which of the following statements is TRU...

A: Given the series  A=∑n=1∞x-1nn and B=∑n=1∞x-1en

Q: 7- 2t 2. 1.

A: This is a problem of differentiation. Based on the general formual we will answer the question.

Q: 1. Find the area of the region bounded by the line y=x+7 and the parabola y=x^2+4x+3 and also illlus...

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Q: 4. Determine the slope of the common tangent to the parabolas y=x² +1 and y=-x² - 1. y=x*2+1 (a, b) ...

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Q: () () Consider the following two series A = E n=1 and B = Which of the following statements is TRUE?...

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Q: 8-2e^-x =4

A: Given 8-2e-x=4We have to find x

Q: Justify means to provide explanation and mathematical reasoning for your choice. Justify if the foll...

A: Given,            Check whether the following equations are linear, quadratic or neither.We know tha...

Q: Find the angle 0 between the vectors in radians and in degrees u = 9i + 5j + k v = 5i – 9j (a) radia...

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Q: dy 3. Find using implicit differentiation given that dx y? seca – log(r? + y²) = e* + cot(ry).

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Q: Find the vector P,P2 and P2P1 P:(3.2,3) , Р.(5,7,-1) b- P1(-2,-1,0), P2(4,-5,2) a - P1(0,3,3), P2(5,...

A: We can solve the given problem as follows:

Q: Find w such that 2u + v- 3w = 0. %3D u = (0, 5, 7, 2), v = (-3, 4, -8, 1) W =

A: vector

Q: Find all the local maxima, local minima, and saddle points of the function shown below. 3 2 f(x,y) =...

A: To find all the local maxima, local minima, and saddle points of the function shown below.fx, y=6-x2...

Q: Given x+y +z = 1 and Po(0,0,1), find the following. (a) Find the equation for the tangent plane at t...

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Q: Use the alternative form of the dot product to find u · v. ||u|| = 30, ||v|| = 50, and the angle bet...

A: Solution is given below:

Q: If the following series converges, compute its sum. Otherwise, enter oo if it diverges to infinity, ...

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Q: A tank full of water is designed with ends in the shape of an isosceles triangle with height 9 meter...

A: Let's find.