3x-4x+1 if x + 1 if x = 1 3. Given the graph of the function f(x) = complete the table. X-1 Differentiable Continuous f'(x) Derivative (Vor x) (Vor x) f'(-1) f '(0) f '(1) f '(2) f '(3)

Q: Provide an appropriate response. If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y ...

A: We will find the value of dy/dt with the help of the given data x=2 ,y=5 and dX/dt=-3 as following.

Q: dy Find using implicit differentiation, for the equation a + y = 7 is dr

A: We can find the correct option as below.

Q: (1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x²...

A:

Q: The integral of t²In t with respect to t is; 13 A -(3ln t – 1) + C B none of the given choices -(31n...

A: Follow next step

Q: Find the length of the arc of the curve having the parametric equations x = t³ and y = 2t? from t = ...

A:

Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

A:

Q: From the following results, determine whether the function 2x +9, r 9 f(x) = 6. is continuous at = ...

A: Solve for the continuity for the function

Q: Using an appropriate substitution, 3 the integral S dx equals: V1-4(x-1)2 3 sin-1(2x – 2) + C sin-1(...

A: We can find the integration as below using proper substitution.

Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...

A: This question can be solved by applying the formula of linear approximation.

Q: 14 If f(x) = /* t² dt then f'(x) =

A:

Q: Make a switch to cylindrical coordinates to evaluate V² + ² dV , where E is the region inside the cy...

A:

Q: Consider the points A(3,-3, 3), B(4, -5,0), C(-3,-4,0), and D(6, 2, -6). (a) Find the volume of the ...

A:

Q: Q1. Fill in the blanks with a suitable mathematical expression. a) The function f (x) = sin(2x) is p...

A: According to Bartleby's guidelines we are allowed to solve only 1 question at a time. So, here's the...

Q: What is the formula that would be used to calculate the trapezoid approximation of s82x dx using fiv...

A: we have to approximate the value of integral by using trapizoid rule

Q: By completing the square, dx the integral f equals: 2x2+8x+10 tan¬1(x + 2) + C tan-1(x – 2) + C | th...

A:

Q: Find the volume of the solid generated bounded by x = Vy-2, x = y? - 4y + 4, rotated about the x- ax...

A:

Q: An isosceles triangle has a perimeter of 30cm. What is the length of the base if its area is to be m...

A:

Q: Use the functions below to find the given value.

A:

Q: Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double in...

A:

Q: alculate the curvature of the vector function when t=0.1: 7(t) = (e", V2t, et)

A:

Q: 2- 3x +8 2-X2C

A:

Q: 2. An open box will be made by cutting a square from each corner of a 6-ft by 6-ft piece of cardboar...

A:

Q: Q14

A:

Q: Question 8 TT Evaluate: " sin7 Cos4 dx

A:

Q: Determine the area of the trapezoid 8 ft 15.6 ft

A: Given query is to find the area of the trapezoid.

Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

A:

Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: The given problem is solved below in detail.

Q: A potato is launched vertically upward with an initial velocity of 124 ft/s from a potato gun at the...

A: Initial velocity is given as 124 ft/sec and the distance is given as function of time s(t). We will ...

Q: solutions

A:

Q: Determine the Riemann sum that represents the illustration below. The function is lx) = 2x. Y 6. 4- ...

A: Explanation of the answer is as follows

Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

A:

Q: Evaluate: / cot-12 e Sa dß. ß cot-12B – In|1+482| + C A B cot-128+ -In| 1+482| + C 8 ß cot-12B+ In|1...

A:

Q: sin (e) cos (e)de

A:

Q: An exponential function has a growth factor of 1.07. What is the percentage growth rate?

A: Let's understand with the help of an example. Let salary of a person increases by 25% per year and i...

Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: b. Find the unit tangent vector and the principal unit normal vector for motion R(t) = (cos 2t)i + (...

A:

Q: Using integration by parts, the integral Vx In x dx equals: 2 evē+4 2 eve+4 9. 3 the above the above...

A:

Q: Find F' () if F(x) = 2 cos¯1 Vx.

A: To find out the F'(1/2) 

Q: хах 3. S cos (2-3x2)

A: To evaluate the integral ∫x dxcos2-3x2.  

Q: 00 e-2y dy

A: Given query is to eveluate the integral.

Q: Find the area of the region bounded by y = -x² – 6x – 3, y= -x2 – 8x – 13, x = -5, x = -2.

A:

Q: Which of the following best describes the function below? S (x)={** ifrso l-r' if 0<x ifx<0 A. Conti...

A:

Q: Find the value of f' (E) if f(x) = 2csc3x. in Your answer

A:

Q: 4 Vva – 1dx 2

A:

Q: Question 6 Evaluate the double integral over the given region. S *+x4 - 3) dA, R: 0 sx s1,0 sy s2 15...

A:

Q: 15. The following broken-line graph displays the depth of snow over a 2-day period. Depth of Snow 40...

A: To find out the rate of snow falling for first 6 hours. 

Q: Growth of a Cancerous Tumor The volume of a spherical cancerous tumor is given by the function V(r) ...

A:

Q: 20 -1 3. sin

A:

Q: The graph shown below is f(x) = -3x + 2.lf g(x) = Sốf (t) dt , find g '(-1). %3D %3D X 54 3-2 -1 1 2...

A:

Q: -1 2. cos

A: 2.cos-1-12