What is the equation of the tangent line and the normal line to y = x2 – 4x + 2 at (4,2) respectively? a. y = 4x – 14 and y = 1/4x + 3 b. y = 4x – 14 and y = -1/4x + 3 c. y = -4x + 14 and y = -1/4x – 3 d. y = -4x + 14 and y = 1/4x – 3 What is the slope of the tangent line to the curve y = 3x2 – 5 at point (-1, -2) а. -6 b. -5 С. -8 d. -7

Q: (– 1)"497+2 n! Find the sum of the series: n=0

A:

Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

A: w=fx,y,z ; x=gr,s,t, y=hr,s,t, z=kr,s,t

Q: Find the determinant of х 3 x2 5x2 O none of these

A:

Q: Periodic Deposit $? at the end of each year Financial Goal $160,000 Rate Time 15 years |5% compounde...

A:

Q: Factor the trinomial, or state that the trinomial is prime. 7x - 53x + 66 Select the correct choice ...

A:

Q: Find the Maclaurin polynomials of orders n=0,1,2,3  and 4, and then find the nth Maclaurin polynomia...

A:

Q: Match the sequence with the given nth term with its graph. an = (-1)" an an 10 2- 8 1 ... 6. 4. 2 4 ...

A:

Q: Differentiate. y = (r2 – 7r)e y' =

A:

Q: X-2 What can we conclude about the function f(x) = %3D X-3 O The function is discontinuous at X = 3....

A:

Q: 2. Find the general solution of this system. x' = -1 -1 -1 11

A: First we calculate eigen value of given matrix then we find eigen vector. 

Q: esec-1 d.x. xVx2 – 1 1

A:

Q: (0) Using xº = x = x° = 0 (0) (0) %3D Find an iterative solution based on efficiency and advantages ...

A: Let's find. 

Q: Find u•v, where tetha is the angle between u and v llull=4, llvll=16, tetha=2pi/3

A:

Q: Express what you have learned in this lesson by completing the sentences below. Use a separate paper...

A: To fill the blanks for limits of the function.

Q: The following three lines do not have a common intersection: x + y = 2, x – y = 5 and x + 2y = 6. Ho...

A:

Q: 1 Evaluate | (x²sin y- xcos(y))dy O 2sin y-3cosy + C 6 -3sin y+2cosy +C 6 x2(1- cos(1)) – xsin(1) + ...

A:

Q: Set-up (Do not solve!) the volume of the solid whose base is bounded by the graphs of y = x + 1 and ...

A: First we need to sketch the graph of y = x+1 and y = x2-1

Q: Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = ...

A:

Q: How many distinguishable ways can you arrange the letters in the word ACCOUNTANCY such that all vowe...

A: topic - permutation and combinations

Q: .2 What is the reversed order of integration of 1 dxdy? a. II Vx* +1 dydx 0, O b. x4 +1 dydx 0, .8 x...

A: Topic:- application of integration

Q: For f(x, y) = xe**Y, find fy (1, In 2) O 2 O 2 In 2 O 4 In 2 +2

A:

Q: Sy sin 3ydy

A:

Q: 010, 1250 U.S. college students expecting to graduate in the next several years were surveyed. Respo...

A: Topic:- algebra

Q: curve in the xy-plane is denned by the vector valued functic dy in terms of t? dx? where x(t) = 2 ln...

A:

Q: a. Use the definition m,an = lim f(x) - f(a) to find the slope of the line tangent to the graph of f...

A:

Q: Determine the derivative of x2 + 2xy + y? = 10 implicitly. Determine the derivative of y sin x = x³ ...

A:

Q: A given partial fraction 2x A B Cx +D (x- 1)(x+ 4)(x²+ 1) + X+4 X-a x² +1 B can be evaluated as: O 8...

A:

Q: Find the particular solution to the following equation y" + 4y' + 5y = 0 y(0) = 1; y'(0) = -3 Hint: ...

A:

Q: A and B together can finish a piece of work in 6 days. A working alone can finish it in 5 days less ...

A: We have to find working capacity of A & B individuals.

Q: Consider the series 00 (x – 6)6 + 4. 3! (x – 6)8 + 8.4! (x – 6)4 Σ а, 3 (х — 6)2 + + 2· 2! n=no Find...

A: N0=1 to infinity in summation  

Q: Sg(x) dx 2. g(x) 3. 3f(x) dx 5. If(x)-g(x)] dx 6. [4f(x)– g(x)] dx

A:

Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

A:

Q: Seven front liners stand in row for claiming the snacks. Combination Not Combination

A: A combination is a technique that determines the number of possible arrangements in a collection of ...

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the fun...

A:

Q: 2 Given f(x.y) = x?y-3xy³. Evaluate fdy O 14y-27y +C 6. O -6y³ +8y/3+ c 6x2 – 45x + C 4 2x2 – 12x+ C

A: Given that a function:  f(x,y) = x2y - 3xy3  And we find value of integration that has limit 1 to 2....

Q: Given f(x,y) = eX cos y, Evaluate fy(2,0) O cos 2 O sin 2

A:

Q: What integration technique can be used to integrate: tan x dx O Integration Formulas O Trigonometric...

A: Given ÷ Integrate tanx dx I=∫tanxdx  

Q: Consider the graph of the function f in figure 21. 1. Determine whether f is continuous or not at t...

A:

Q: Use the 2016 marginal tax rates to compute the tax owed by the following couple. A married couple fi...

A:

Q: Find the absolute maxima and minima of the function on D, where D is the closed triangular region wi...

A: Maxima minima

Q: Find F'(x) if F(x)= e^(-x^2) * x^sin(x^3)  Use logarithmic differentiation

A:

Q: Consider the function defined by f(x) = In(2a +1). %3D 1. Determine its Maclaurin series expansion. ...

A: Given that the function is fx=ln2x+1. 1) It is required to find the Maclaurin series of fx=ln2x+1. I...

Q: What integration technique can be used to integrate: In x dx Integration Formulas O Trigonometric Su...

A: The integration is given by ∫lnxdx To evaluate: The technique to evaluate the integration.

Q: Case 3: non-repeate quadratic factor (x²-x-21) Example 1: S 2x3-x2+8x-4

A: Given

Q: (1) d?y + 2y = 0 y(0) = 3; dy (at x = 0) = 2 dx? dp, dx d2v dy ....

A:

Q: ファー Choig nd Selve the :- ィ39+ジ = ze +5

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Find the sum of the convergent series. 1 8- 1+ 8. 64 Submit Answer

A:

Q: cos v f(x, у, 2) 3D xz2 af af 2 cos y Cosv siny df = - = - = - dx x2z2' dy dz xz3 XZ af cos v %3D af...

A: Topic:- partial derivatives

Q: What is the derivative of f(x) = e&x + 3? a. f(x) = 8e b. f(x) = e8 C. f(x) = 8e8x+3 d. f(x) = 3e&x ...

A: We find derivative of given function.