Find the derivative 1. y = Vx² – 5

Q: Answ

A: In part 2, lower limit and upper limit of integral is same = 5

Q: Salve for x if Arc tan (1- x) + Arc tan (1 + x) = Arc tan

A: Our Aim is to solve for 'x' if tan-11-x+tan-11+x=tan-1x -(i)

Q: Question: (Show complete and systematic solutions) The expression sin't cos tdt , when evaluated wil...

A: Given that ∫sin4t cos4tdtSolution :we know that sin2t=1-cos2t2,cos2t=1+cos2t2∫sin4t cos4tdt∫1-cos2t2...

Q: The cost to transport a mobile home depends on the distance, x, in miles that the home is moved. Let...

A:

Q: 4. Sketch a graph with the following sets of properties. 10 8 f(5) = 3 f(-1) = -3 4 lim f(x) = 2 2 x...

A:

Q: The monthly revenue R (in dollars) of a telephone polling service is related to the number x of comp...

A: Solution is written in below steps.

Q: Solve each triangle. Round your answers to the nearest tenth.

A: We will solve the given triangle by using sine rule as shown below

Q: dp The logistic equation for the population (in thousands) of a certain species is given by = 9p - 4...

A: dpdt=9p-4p2To Find: a. Sketch the direction field.b.If the initial population is 2900 (p=2.9), what ...

Q: 1. Find the equations of the normal and osculating planes of the curve x Int, y 2t, z = t2 at the po...

A: Equation of the plane :  r→.n^ =a→.n^ ; where 'r→' is the position vector and 'a→' is the given poin...

Q: 5 ex dx e2x

A: Given: ∫5-exe2xdx

Q: Let f(x, y) = x* + y* – 4xy. (a) Find all critical points of f. (b) For each critical point of f, us...

A:

Q: If you will draw the graph of y=x^2 (x-1), how will the graph behave at the x-axis?   A) The graph c...

A: y= x2(x-1)at x = 0:y = 0(0-1)y = 0and at x=1, y=12 (1-1)Hence, The graph crosses (0, 0) and (1, 0).

Q: с — с2 C - f(c): 1+c² Find f(tan c)

A: The given function is  f(c)=c-c21+c2

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

A:

Q: Evaluate the integral. 32 log 16(x + 32) x+ 32 xp-

A:

Q: The following constraints x ≥ 0, y ≥ 0, y ≤ 3, x≤5 delimit one of the following options: a) a bound...

A:

Q: 39-40 A particle moves along a straight line with equation of motion s = f(t), where s is measured i...

A: 39.f(t)=100+50t-4.9t2 at t=5

Q: Integrate +9 +C

A: topic- indefinite integral

Q: Find the derivative of arctan(x² + 1) -2x O f' (x) = -2a2 – a4 2x f' (æ) = x² +2 2x f' (x) x4+2x²+2 ...

A:

Q: In(t – 8) 5 7t3 b. y= | 8t

A:

Q: E valuate sin" e cae de

A:

Q: a. Graph the following system of equations. y = -3x y = x + 4 b. What does the graph show to be the ...

A: We have to Graph given system of equations after that we have to find its solutions.

Q: dy Find dx for the equation xy + sin(x + y) = 123643543 dy -y dx x+cos(x+y) dy -y-cos(x+y) da -cos(r...

A:

Q: Given the graphs of f(x) and g(x) below, determine the value of the expressions below. y = f(x) y = ...

A: Given that:                      

Q: The curve y = [In (x + 4)]² has horizontal tangent line at the point(s)

A:

Q: (c) At what time do they have the same velocity? 13. If a ball is thrown into the air with a velocit...

A: Given query is to find the velocity of the ball. We will use derivative to find the velocity.

Q: &

A:

Q: 1 5. x/4x2 - 1

A:

Q: The region bounded by f(r) la + 6x + 16, r = 0, and y =0 is rotated about the y-axis. Find the volum...

A: solution:-the region bounded byf(x)=-x2+6x+16, x=0 and y=0rotating about the y-axisusing cylindrical...

Q: Prof Applications of Derivatives the given condition. 1. r 2 cos 30 at 0 = 4. Solution:

A:

Q: 225 ft ロ000。 0000 100-

A:

Q: V. HIGHER DERIVATIVES AND CHAIN RULE (1+t)² 1. x = 2. y = x²(x – 1)°(2x – 5)² 3. f (x) = /1+ v1 – x ...

A: second derivative

Q: Solve the initial value problem. dy y = 7x e*, y(1) = 7 e - 7 %3D - dx The solution is y(x) =

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with   so here we have

Q: Consider the following function. Function Factors f(x) = 3x³ – x² – 9x + 3 (3x – 1), (x + v3) (a) Ve...

A:

Q: 9) If f(x) = sinh() , then f'(x) = %3D (A) 3 cosh(÷)

A: Given: f(x)=sinh1x2To find:f'(x)

Q: Use Table the limit of values to deftermine tim

A:

Q: Find the DE of the family of plane curves described and sketch some of its members.

A:

Q: ind the volume of the solid generated by revolving the region in the first quadrant bounded by the c...

A: Given problem:- Find the volume of the solid generated by revolving the region in the first quadrant...

Q: 4² – y² +25:² = 100 %3D

A:

Q: V49 – t dt t3 Integrate: -C

A: I=∫49-t4t3dt

Q: 2. Explain the process of evaluating the derivative of f(x) = (x³ – 1)100

A: We need to apply chain rule to find the derivative of given function. Formula to be used÷ 1) ddxfxn=...

Q: Find all values x= a where the function is discontinuous, For each value of x. give the limit of the...

A:

Q: A. Evaluate each of the following definite integrals. 2 S (8x3 + 3x2) dx 1.

A: Given that:

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

A:

Q: A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co-or...

A: This question is based on finding equation of tangent line at a point on a given curve.

Q: Determine S5x? cos 2xdx

A: Given query is to evaluate the integral.

Q: Let T be the triangular region with vertices (–1,0), (0,1), and (1,0). Use an iterated integral to e...

A:

Q: I. Answer the following statements by providing the correct answers for each item. 1. Let F be a giv...

A: 1. Let F be a given point, and I a given line not containing F. The set of all points P such that it...

Q: The graph above is a transformation of the function f(x) Write an equation for the function graphed ...

A: The given graph is:

Q: ´sin x-sin x cos x lim x2

A: This can be evaluated as follows: