Given f(1) = 4, f'(1) = 7, if g(x) = 4x(f(x) - 2)² then g'(1) =

Q: The given figure shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 14…

A:

Q: 4. Find the equation of the plane that is perpendicular to the curve C(t) = at t = π/4.

A:

Q: Find the area of the region bounded by the parabola y = 4x2, the tangent line to this parabola at…

A: find equation of tangent line at ( 2 , 16 ) first find slope  for x = 2  slope m = 8*2 = 16

Q: n-1 2)Let an = 2( 2 (²1) ¹²-¹ Write the first 5 terms of an. Σ ¹00 k=1 ak

A:

Q: Differential equation: Families of Curves * w/ complete solution and sketch. Obtain the…

A:

Q: Determine the 3 axis direction angles of force F in the direction of the vector AB when A = (3,1,8)…

A:

Q: The volume of a balloon is inflated from 0 to 8 m³ in 5 minutes. What is the average rate of change…

A:

Q: convergent serie 12) Find the sum of each 2 A) / + = + ( ² ) ² + ( ² ) ³ + ( ²1 ) 4 + ... ( - )^² +…

A: Let's find sum of given series.

Q: If J ㅠ O OT 2 O F/4 π 5100 3 dx x² - G(x) + C, what is G(1) - G(0)?

A: To find integration of given function.

Q: Given f(x, y) Evaluate f(10, 8) f(10, 8) = 70x +90y - 5x² - 4y² - xy =

A:

Q: Consider the given function and the given interval. 14x f(x) = (1+x²) 2¹ [0, 2] (a) Find the average…

A: According to question,Given Function,fx = 14x1+x22

Q: (4) y = Tan' (*); d =? A) 4 4+x² B) 15) ys A) 2 SecX 11 2√4-X² Sec (X); dy = ? +Y 2 secx. ranx D)…

A: 16) The given equation is; Sinx - Cosy - 2= 0

Q: 6. Σ. 5 7. = + = =+ = + - + 7.-+-+ 27 2k 3hti + ..

A:

Q: A firefly is flying along the path defined by r(t) = 20. At hat point(s) along the firefly's path…

A: Given position vector r( t ) = { t2 , 5-t2 , t3 } r( t ) = t2i + ( 5-t2 )j + t3kas we know that a( t…

Q: On the interval shown, for which graph is f' positive and f"' negative? OA. OB. Q O C. z Q 2 OD.

A: To choose the graph which describes the given characteristics

Q: List each of the mistakes in the following calculations: d a) [(cos z)] = x(cos x)²-1 da d b) [(cos…

A:

Q: The revenue in dollars generated from a sale of x picnic tables is given by R(x) = 22x- (a) Find the…

A:

Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

A:

Q: 33. Water is stored in a right circular cone as shown. Water is being added to the cone at a…

A: We have to find rate of change of height of water.

Q: Which of the following represents a geometric sequence with a common ratio r = 5?  1 2, 10, 15, 75,…

A:

Q: the function y = 2x+3 x+2 do the following. Asymptotes ntervals of Increase or Decrease Local…

A: We will find the required

Q: Evaluate the integral by making the appropriate substitution: u = f2¹ (25 - 4) 43³dz = dx 43 fz¹ª…

A: To evaluate the integral.

Q: fa²√³-3 da: This can be transformed into a basic integral by letting Consider the indefinite…

A:

Q: Assume 0<x< Use logarithmic differentiation to find O (sin z)(zcot 2 + ]n(sin z)) O (sin x) (x cos x…

A: To find the differentiation of given function.

Q: Given the absolute function graphed below, find the following: a) Domain: -12 Decreasing: 6 5 4 7 2…

A:

Q: 17) The expanded form of the differential operator D(rD-1) is a) xD² b) D² - z e) zD² + 1 d) zD² -1

A: Given query is to find expanded form.

Q: particular computer accessory was purchased for Ve dollars in 2018. The value of the accessory, V,…

A: We know that A = P 1+rt where A is the estimated amount after t years P is the initial amount r is…

Q: Given the graph below, solve the following inequality: k(t) < 0 +10 +RVEY 9 8 7 6 5 4 3 2 1…

A: To solve the given inequality

Q: A landscape architect in a botanical garden plans to enclose a 2000 square foot rectangular region…

A: Firstly we need draw and label the situation followed by construction of equation for the total cost…

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. rsin 0=6 The…

A: in cartesian  coordinates  x=rcosθ  and  y=rsinθgiven  rsinθ=6

Q: Consider the following functions. f(x) Find (f + g)(x). = g(x) = Find the domain of (f + g)(x).…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined.

Q: 1 COS X sin² x O - cscricot - O sec x O tan x dx = cotx +C - tam x - C + C secx + C O csc x - cotx +…

A: First we need to simplify the given trigonometric ratio and then integrate it accordingly.

Q: 19) Determine a particular solution of NHLDE (3D³-2D2-3D+2)y=10 b) Up = 5 10 3 d) p 10

A: Given differential equation ( 3D3 - 2D2 - 3D + 2 )y = 10 as we know that yp = perticular solution

Q: Find f(a), f(a+h), and the difference quotient f(a+h)-f(a), where h * 0. h f(x) = 4 - 2x + 7x² f(a)…

A: Let's find all given function value.

Q: Do the points (2,3,3), (3, 1,-2), (0, 4, 4), and (5, 1,0) lie on the same plane?

A: The given points are:A=(2, 3, 3)B=3, 1, -2C=0, 4, 4D=5, 1, 0

Q: Find all the values of a such that the given series would converge. (-1)"11"x" Ž (√n +9) n=1 The…

A:

Q: Use the graph of f(x) shown below to answer the questions J'(x) O (a) Find lim f(x). x-1 05 01/1/20…

A: see below the answer and explanation

Q: Solve the problem. 1 -3 0 13 Let A = -4 0 2 and b= 14 4 5-4 -45 Define a transformation T: R³ -> R³…

A: We can solve this as follows:

Q: Sketch the region R and compute ff 2xdxdy, where R is the region bounded by x = y² and (x-1)² + y² =…

A: To find:- ∬R2xdxdy Where R is the region bounded by x=y2, x-12+y2=1

Q: 10-9-8-7-6 -5 -43 -2 10 thow 4665 8 7 665 + 4 324 7 -3 -4 -5 -6 -7 -8 -9 10 7 ∞ 114 OI 6

A:

Q: f(t) = te4t

A:

Q: A graphing calculator is recommended. An oil refinery is located 1 km north of the north bank of a…

A: Let point PP be located 6 - x9−x km from the oil refinery (see diagram ).     Then the cost of…

Q: A drone flies with velocity v(t) = 3ti-fj+4k. When t = 1, the drone is at (3,2,2).

A:

Q: Inverse Laplace transform, 1 (s²+1)(s-3) x^₁ { = Select one: True O False Give your reasons cos(t)…

A:

Q: Find the volume of the solid whose base is the region enclosed by y = x² and y = 1, and the cross…

A:

Q: Consider the following system. dx dt dy dt = 6x + 5y K = = -2x + 8y Find the eigenvalues of the…

A: As per guidelines of bartleby we solve only one problem

Q: Find the area of the given region. Use a graphing utility to verify your result. y = 1 + In x³ X y 1…

A: We can find the area of the region .

Q: 4. Find the average value of g(x) 8 4+x² on the interval -2≤ ≤2

A:

Q: What is the standard form equation of an ellipse that has vertices (-2, -18) and (-2, 8) and foci…

A: Here is the solution

Q: - Let F(s) = I O None of the others 0 3e2t 1 2 2 e2t 2 e2t 2 N/W N/. + 2 1 s²-2 s Give your reasons…

A: