the followiI 4x-x2 1) lim-4 2-Vx

Q: Step 3 Now we can conclude the following. y' Submit Skip (you cannot come back)

A: This question is related to deivative.

Q: 2. f(x) = x2 - 5x +6 A. x 1 B. x =-3

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

Q: A. Find all the first order partial derivatives of the given function. 1. f(x,y)= 2e*Y cos 4x + y co...

A:

Q: 6) If csch(x) =}, then coth(x) = %3D %3D (A) (B) =0 (C) 10 (D) (E) =

A:

Q: Evaluate the following limits: z² + 4x – 12 3. lim 1² – 2x 191 S y² +5 _ify-2 4. lim g (y) where, g(...

A: 3. limx→2x2+4x-12x2-2x4.  limy→-2g(y), where g(y)=y2+5if y<-23-3yif y≥-25.  limx→4z-2z-4

Q: (2xy +y Jdx + Cx*- x)dy-e 3

A: Given:- (2xy+y)dx+(x2-x) dy=0 To find:- GENERAL SOLUTION FOR GIVEN DIFFERENTIAL EQUATION

Q: (a). [usin(u)du (b). ſu cos(u)du Hint: Use the result of (a) after one use of integration by parts! ...

A: I will provide you very good handwriting so that you can understand it

Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

A: Given :y=x9+5To find : (f(u),g(x)) , dydx and G'(u).  

Q: Using the definition of the derivative, find f'(x). Then find f'(-3), f'(0), and f'(3) when the deri...

A:

Q: 4x3+3x2- 30x-33 da Consider the indefinite integral x2 - 9 Then the integrand decomposes into the fo...

A:

Q: Suppose customers in a hardware store are willing to buy N(p) boxes of nails at p dollars per box, a...

A:

Q: Given that Y = 3wt- 7wt Jo

A:

Q: Based on a study of population projections for 2000 to 2050, the projected population of a group of ...

A: Expression for average rate of change of any function f(x) where, a ≤ x ≤ b. is:   = f(b) - f(a)b-a

Q: The base of a solid is the region in the first quadrant bounded by the curves below. 16x 16 – y? %3D...

A: We need to find the volume of the solid.Below find the solution in the image.

Q: When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C r...

A:

Q: (a) lim (3xª + 2x² - x + 1) X-2 PIE

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

Q: S from a = to b = = %3D sin I O In sin () + In sin() O cot -cot 플 | 4 2 O In (sin )- In(sin ) O none...

A:

Q: Exercises 19–22, show there is a number c, with 0 ≤ c ≤ 1, such that f(c) = 0.  19. F(x) = x3 +x2- 1

A:

Q: (a) Find the exact area of the surface obtained by rotating the curve y = e^x about the x-axis over ...

A:

Q: Differentiate the following functions. Use any applicable method unless otherwise specified. 5. a. ...

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

Q: (6x3 +7x2 + 20x + 16 d.x Consider the indefinite integral x4 +4x2 Then the integrand has partial fra...

A: We need to solve integral.

Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

A:

Q: 3. Find the area bounded by y = x2 – 2x – 3 and y = x+ 1.

A: Calculus   -  area between two curves .

Q: Solve the equation: xdy-ydx=2x³dx

A: Given differential equation is xdy-ydx=2x³dx.  

Q: For the geometric sequence, 9 27 81 3, 2 4 8 What is the common ratio? What is the fifth term? What ...

A: We have to find common Ratio,5th term and nth term for given sequence.

Q: Find the values of a and b that make f(x) continuous for all real x.  f(x)= (2^xb+a+1,  x 1

A:

Q: Let Sk denote the sum of the first k terms of an arithmetic series. If S2n/S2 = 3 for some integer n...

A: Given that sk  denote the sum of the first k terms of an A.Psk=kk+12s2ns2=3To find : s5ns3nSolution:...

Q: Evaluate the limit. lim-3 Væ²+7-4 3-x 0 -등 5 6 - 8. 6 8 O None of these

A:

Q: 6. Find the pattern in repeated derivatives of the following functions: (find f',f",f"’ etc until th...

A:

Q: Find the angle between A = 10a + 2a and B = - 4a + 0. 5a¸ , using dot product. Answer:

A: As we know that, The expression for the angle between the two vectors is: θ=cos-1A→·B→A→B→ Given: A→...

Q: The number x (in thousands) of cat flea collars demanded each year when the price of a collar is p d...

A:

Q: method; Inz VUna)²-y²

A:

Q: Let f(x) = (cosh x)² be defined on (0, 0), find %3D d 1/2) . dy

A:

Q: In the year 2000, about 98.7% of households had telephone landlines. The number has decreased with a...

A:

Q: Find lim,-2 f(x) 2 -3 -2 -1 2 3 lim→-2 f(x) = 0 %3D lim, -2 f(x) = 2 lim,-2 f(x) = 1 Does Not exist

A:

Q: (b) Find the instantaneous rate cf change of C with respect t i when x = 100, (This is called the ma...

A: Given function C(x)=5000+10x+0.05x2 Aim: (a) To find the average rate of change of C with respect of...

Q: Зx+4 dx х2+3х+2

A:

Q: 1. S" cos? (2t) dt u-sub = 2. S sin5 0 cos* 0 d0 power on sin is 'odd'

A:

Q: Use the FOIL method to find the terms of the following multiplication problem. (3+4 i) • (4 – 2 i) U...

A:

Q: ) H (æ) = 13- 2a+36a -2 then f is concave down ou (A) (-0,-3) and (-3, 0) %3D (B) (-, -3) and (2, 00...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: E valuate sin" e cae de

A:

Q: y = (5x3-7x2+ 2x-3)1

A:

Q: 10. Solve for the derivative of y IMPLICITLY 22 + Væ³ + 2y= y²

A: Note: According to our expert guidelines only first individual question is to be answered, kindly re...

Q: 4. Find the General and Particular solution of dy -8 sin 4x ; y = 6 when x = 0 dx dy

A:

Q: In(t – 8) 5 7t3 b. y= | 8t

A:

Q: 6x Evaluate the indefinite integral. x4 + 1 + C

A:

Q: 4 & 5

A:

Q: differential equation is given along with the field or problem area in which it arises. Classify it ...

A: An ordinary differential equation is an equation that involves independent variables, dependent vari...

Q: 7. For what values of A and B does the function y = differential equation y" +y' – 2y = sinx? (Hint:...

A:             Given  y=A sin x+B cos x            We have to differentiate twice                i.e., ...

Q: 1. y = V(x2 + 2) – x (x² +2) - х

A: Topic = Derivatives As per guidelines, At a time only one question can be answered out of different ...