Let f(x) = V43 – ¤ %3D The slope of the tangent line to the graph of f(x) at the point (7, 6) is The equation of the tangent line to the graph of f(x) at (7, 6) is y = mx + b for m and b Hint: the slope is given by the derivative at a = 7, ie. f(7 + h) - f(7) lim h0 h

Q: sech*2tdt

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) =

A:

Q: 13) 1216-16 to

A:

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A:

Q: What is the first derivative with respect to x of the function g(x) = 3/9 9. O 1/2

A:

Q: dy TC * of y = In [tan (G +)1 dx

A:

Q: Using two infinite series whose convergence/divergence is known, determine whether the given series ...

A:

Q: Evaluate sin(x) · In ( cos(x)) dx using substitution.

A:

Q: A company estimates that the weekly sales q of its product is related to the product's price p by th...

A:

Q: 5 =5 Hence, 6"-1 is divisible by 5 is (10.). for n=1 Part 2: Assume that 6" - 1 is divisible by 5 fo...

A:

Q: 3. The volume V of an ice-cream cone is given by combining the volume of a right-circular cone with ...

A:

Q: 110,000 pr a particular commodity, the demand function is q a. Find e when p = 11. Preview b. Is dem...

A:

Q: Use C for any constant of integration. ' 6x³ + 2x? – 20x – 12 - - dx = x² – 4 -

A: We have to find value of given Integral

Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable c...

A:

Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: Find your answer below 

Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means o...

A:

Q: graph of f(x). 3 4.

A: Find your answer below 

Q: Graphs of the position functions of two particles are shown, where t is measured in seconds. (a) 1 W...

A:

Q: Find 81 term of series 41,43,45...

A: As we know that; The expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where, a i...

Q: Write an expression for the distance w in terms of x. X=-3 t-2y+1 w/

A:

Q: 1. Table of Values for x inputs that approaches 10 from the left. 9.9 9.99 9.999 Y 2. Based on the t...

A: Let's find. 

Q: Provide an appropriate response. Given fx) dx = 4 and g(x) dx = 2. use properties of definite integr...

A: We have to solve the integration

Q: csc (tan 2y-1)dy 5. cos* 2y wil

A: topic - indefinite integral

Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

A:

Q: Exercises: Evaluate each of the following indefinite integrals: f(cos*x- sin * xkhe let u= ſ(cos": d...

A:

Q: x + 3)* = 3y*find the third derivative

A: Given query is to find third derivative.

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, c = 3 Pa(x) =

A:

Q: The integration expression sin(3ln(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable c...

A:

Q: Find the antiderivatives or integral of each of the following: Jsech 2tdt let u= du=

A:

Q: ind the equation of the radical axis of the circles x² + y2 - 18x - 14y + 121 = 0 and = + y - 6x + 6...

A: Topic:- geometry   

Q: f(x) = 4x - 63x2 + 162x 1 Step 1 of 2: Find the critical values of the function. Separate multiple a...

A:

Q: Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum...

A:

Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

A:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(r) = V9r + ...

A: Given:       fx=9x+5 at x=1  Instantaneous rate of change :    If y=fx, the instantaneous rate of ch...

Q: Express 5.55 x 102 as an ordinary number.

A: We need to express given number in ordinary number.

Q: . A closed rectangular box with a volume of 16 ft is made from two kinds of materials. The top and b...

A:

Q: Compute the following limit. 2х-3 as x approaches o -3 04 01 03 02

A: topic - limits

Q: Activity 3. Solve the limit if the following given functions. Match Column A with Column B. Every an...

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

Q: Find a one parameter family of solutions of the following separable equation: dy 74 - 4 12r2 – 6e3r ...

A:

Q: For a particular commodity, the demand function is q 300 - 15р. a. Find e when p = 10. Preview b. Is...

A:

Q: f (x) If lim then lim f (x) and lim g (x) are equal. X-e g (x)

A: We are asked to find whether the statement is true or false.

Q: 8. Find the equation of the tangent line to the graph of y = ; at point P(4, –5). 9. Determine the i...

A:

Q: 2. Create an LOWER TRIANGULAR MATRIX using ROW operations. Show each step and the formulas used. The...

A: Create the lower triangular matrix.

Q: 16 6e4x _e-2x lim x→-∞ 8e4x-e2x+3e¬x X→-00

A:

Q: Determine whether the series converges. 1 k=I Ve 1) To determine whether a given series converges, i...

A: To determine whether the series converges.

Q: dy = x - Y dæ Consider the differential equation (A) At the point (– 1, – 0.5), the direction field ...

A:

Q: 3T 3Tt and <B< 2n. Find a) sin(a +B) b) cos(a+r) 4.Suppose sina = – and cosß = 13 where π<α<. 2 35

A:

Q: In problems 1 and 2, find any intercepts with the three coordinate axes and sketch a graph of the su...

A:

Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B

A: Set of Each entry in 2 tuple in the below table is Cartesian product of A and B

Q: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.