7- Use the limit definition to compute f' (x) and find equation of the tangent line at r = 3. f (z) = 5/3x %3D

Q: (4x + 1)² cot(5x) f(x) = ln

A: Follow the procedure given below.

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Evaluate the integral dx (6х + 5)? y making the appropriate substitution: u = dx (6x + 5)2 II

A: Given query is to find the integral.

Q: (a) Find parametric equations for the line through (5, 4, 6) that is perpendicular to the plane x -…

A:

Q: (Drag and drop the missing words) is the of a definite integral as an endpoint of the interval of…

A: Answer is in below step.

Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

A:

Q: FindS( 3x* – 2x³ + 4x² – 5x + 2) dx -

A: Given; I=∫3x4-2x3+4x2-5x+2dx   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: d/dx integral from e to x^3 ln(t^2+1)?

A: If Fx=∫b(x)axf(t)dtthen dFxdx=ddx∫b(x)axf(t)dt=faxa'x-fbxb'x

Q: how to convert 27 inches into yards by finding an equivalent rate

A:

Q: Given 1 2 3 0 14 X y 5 6 0 W Find the value of "w". NOTE: Just give the answer for w. Answer:

A:

Q: Match the vector field with its graph. F(x, y) = xi + 3yj 5 y -6+

A:

Q: 2 2 3/2\2 x' + -14 - %3D 2

A: Given query is to write the equation in standard form.

Q: Use the Integral Test to determine if the series n2 n3 +1 n=2 converges or diverges. The series…

A: Explanation of the answer is as follows

Q: (10 + 5x – 2x³) dx

A:

Q: Find an equation of the plane. The plane through the point (7, 8, 1) and with normal vector 3i +j -…

A:

Q: Fin volume of the object formed by rotating f(x)=1/x about the x-axis on the domain 1<x<infinity.…

A: We have to find the volume of the object.

Q: 2t2 + 3, y = 6t – 1 at the point whose 3. Find the equation of the normal to the curve defined by x…

A: Explanation of the answer is as follows

Q: The SMPT group at UB sells past final exams packages (small and large) for $2 and $3 respectively.…

A: topic - linear equations

Q: Write the equation in standard form. (Use xp for x’ and yp for y’

A:

Q: 2 - 41 -y =0 /2

A: Area of curve = integration of ydx from x1 to x2

Q: a) lim f(x)= b) lim f(x)= c) lim f(x) = d) value(s) of x for which f(x) is discontinuous

A:

Q: Draw the Root Locus curve for the equation s (s + 2) (s + 3) + K (s +1) = 0.

A: We have to draw the root locus curve.

Q: QUESTION Determine the length of the missing side of the right triangle below. Round your answer to…

A: The given triangle is:

Q: dx 1-x2

A:

Q: . Let f(x) = x'6/3 – 19x337. Determine the largest n for which f € C" (n-times continuously…

A:

Q: Find the derivative of f(x,y) = x +y in the direction of the unit tangent vector of the curve r(t) =…

A: The unit tangent vector T→t can be defined as the unit vector in the direction of the velocity…

Q: 1 The series k=1 10n converges. True False

A:

Q: Find a Taylor series representation of f centered at a=3 f(x)=1/(1+x^2)

A: Given

Q: 7. Find all values of x that make (x, 1, –3) and (x, 2, x) perpendicular vectors.

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

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A: Given that     D(x) = -3x/10 + 8     S(x) = x/5 + 3

Q: Write the general equation for the circle that passes through the points (- 5, 0), (0, 4), and (2,…

A: Given -5,0, 0,4, 2,4 To find general equation of circle:

Q: 4х+5 f(x) = %D 9-3х А. х 3 -1 B. x =0 С. х 3 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine the value of 7A+8M if 5x4 + 3x3 + 14x² + 16x + 6 A x – 3 За + М ¤(1+a² )² 1+x2 (1+æ²)²…

A:

Q: 6. Determine the derivative of each function. (a) f(x) = (-4)e5x+1 (c) ƒ(x) = 63x-8 (b) f(x) = xe 3x…

A:

Q: dy Suppose 9 x²– 2 ( 3 x³-2x+3) and y(1) = 3. dx What is y(2)?

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 5)8dx

A: Explained below

Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: Write the equation in general conic form of the circle that passes through the points (0,0), (0, 6),…

A:

Q: |r'(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ti+ t°j к()

A:

Q: 1. The volume V of a right circular cone of radius r and height h is given by V = r?h. %3D (a) Find…

A:

Q: Given: P(-1, -1, 2) what is o in cylindrical coordinate system?

A:

Q: Suppose dx dy 3(2x-3) and y(1) = 3. What is y(3)? O 12.973 O 13.973 O 15.136 O 15.973

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Where does the line through (1, 0, 1) and (3, –3, 4) intersect the plane x + y + z = 6? (x, y, z) =…

A:

Q: Evaluate the integral fa* (2* – 11)"dz, dx, by making the appropriate substitution: u = 11). 24 dx =…

A: ∫x3x4-1124dxSubstitute u=x4-11du=4x3dxdu4=x3dx

Q: Find the graph of the equation 9x 2 + 4y 2 - 18x + 8y - 23 = 0.

A: We can solve this problem by using graphing calculator

Q: Consider the region bounded by x = 3y and x = y^3. A solid is formed by rotating the region about…

A:

Q: Solve the following problems, Write your solutions and answers in a sheet of paper. 1. A crcular…

A: Area of circle A=πr2a)r=32 cmPool area =π r2                 =π(322)                 =1024π  cm2The…

Q: Given the equation x In(y) = z Arctan(3*y). Assuming z as a function of variables a and dz find

A:

Q: Find the gradient of the function at the given point. g(x, y) = 5xev/x, (8, 0)

A: Follow the procedure given below.