Compute the given integral. 1 x² + 36 Add Work -dx = Submit Question +C

Q: Find the area of the shaded region. 4 3 2 f(x)=x- 8x +21x, g(x)= -14x + 136

A: We can find the area of the shaded region using the required formula in the below steps.

Q: Is it true that a continuous function that is never zero on an interval never changes sign on that…

A: Yes, By the intermediate value theorem , if a function changed sign, its value was zero at some…

Q: Evaluate the integral. (Use C for the constant of integration.) in² (7) dt

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: We have to find derivative of given function.

Q: Consider the following functions. f(x) =x+7² g(x) x + 7 5x - 7

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Find the following derivatives. Express your answer in terms of the independent variables. 3x-3z 2y…

A:

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→C+ X-C¯ |x + 111 f(x) = (x +…

A:

Q: Determine whether the function is even, odd, or neither f(x)=tan(x) cos(x)

A:

Q: Based on the given table of data, compute each of the following derivatives (fog)'(2) (gof)(4) = X 2…

A:

Q: Evaluate the integral using an appropriate substitution. 10e +e -x 10e* e-x S C dx = +

A: sunstitute   10e^x-e^{-x}=u

Q: Consider the following functions. f(x) = x², g(x) = x + 8 Find (fog)(x). Find the domain of…

A:

Q: y=f(x) Fig. 2 a) lim f(x) X-4- d) lim f(x) x-3- b) lim f(x) X-4+ e) lim f(x) c) lim f(x) x→4 f) lim…

A:

Q: Find f', given f'(x) f(x) = * sin(x4) x² +1

A: To find derivative of the function.

Q: e selling price of a refrigerator, is $678.70. If the markup is 10% of the dealer's cost, what is…

A: Given query is to find the dealer's cost.

Q: Prove that square root 3 is not a rational number.

A:

Q: If the demand function for math self-help videos is given by 650.7x, and the total cost function to…

A: If the demand function for math self‐help videos is given by 65-0.7x, and the total cost function to…

Q: Consider the integral fa¹ In(a) Applying the integration by parts technique, let U = In(x) dv = x4…

A: This question is based on Integration by parts technique.

Q: (2xy-3x²) dx + (x² + 2y) dy = 0 2

A: Given differential equation:- 2xy-3x2dx+x2+2ydy=0

Q: limx→6(x+4)2(3x−2) Evaluate the limit , thank you

A:

Q: #1 Cπ/2 ST 0 (8 + 4 cos x) dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Given function :- y=4x-32x+15

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. 1. y…

A:

Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

Q: 20. j(x) = [(sin 3x)³ +5x]²_j'(x) =

A:

Q: The tangent line to y = f(x) at (4, -3) passes through the point (1,1). Compute the following. a.)…

A: This question can be solved using the concept of two point form of line and derivatives

Q: On a routine inspection of the water system of Cincinnati, Fernanda discovers a pipe leaking at the…

A:

Q: B. 3y² + 2xy = 8 dy dx m TL Equation of tangent line m. NL Equation of normal line

A: Given equation of curve:- 3y2+2xy=8

Q: ind (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: solution is given below..

Q: 7. Determine all value(s) of the constant k so that the planes x+2y+3z = 4 and 3x + (k²+2)y+(7-k) z…

A: We need to find values of k.

Q: Question2: A; Rewrite by completing the square. x² + 3x + 1 B; C; Let D =(-4, 5, 8.5, 1, 0.5, m}.…

A: A) Given:      x2+3x+1 Write x2+3x+1 in the form of x2+2ax+a2 Here 2a=3            a=32 Now add and…

Q: Solve the problem. For some reason the quality of production decreases as the year progresses at a…

A:

Q: Let f(x,y) = 4√xy³²+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0-1)(0-9)² + 4(0-9)…

A:

Q: Find the explicit solution of y'= 2x 1 + 2y -:y (2)=0

A:

Q: 4. An object is moved along the line from the point (1, 2, 1) into the origin (distance is in…

A:

Q: 2. A balloon is released upward from the ground at a speed of 5 m/s. When the balloon was 10 m above…

A: Concept Used: Rate of change Rates of change are defined as the rate at which one quantity changes…

Q: 12. If $5000 is deposited in a bank paying r% interest (r = interest rate), the amount 3 years later…

A:

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form…

A:

Q: We can use the quotient rule to calculate the derivative of sec(x). O True O False

A:

Q: 2. Determine dy/dx of the following equation. y = a. C. eeez dy dx = dy dx eeez = e. None of the…

A:

Q: Suppose the position function of an object moving along a straight line is given by s (t) = and you…

A: Velocity of any moving object is defined as rate of its position so you need to find the rate of the…

Q: To complete thi of proportional Macmillan Learning For purposes c C travels approx 1/2 that of the…

A: Circumference of moons orbit = 2.4   Satellite is half the distance of the moon radius of satellite…

Q: Find the derivative. y= (2x+5)^3/ (x+4)^2

A: y=2x+53x+42

Q: Suppose that y is a differentiable function of x and z = cos (x5,8). Express in terms of x, y, and…

A:

Q: 2014 O ०.२ ०.०२ 0.02 0.08 0.4 0.6 0.16 0.8 1.0 ।.२ 1.4 0.98 or 0.32 0.5 0.72

A:

Q: if f(x)=-(sqrt(81-x^2)) find the domain and range answer in interval notation

A:

Q: 10 B 64 2 2 6 $10 Q

A:

Q: Find the average rate of change of the function over the given interval. R(0) = √30 + 1; [1,5]

A:

Q: 2 Find the exact area of the region bounded by the curves y = 4x² - 8x+12 and y=3x²-3x+12. Answer in…

A: The region is bounded by the curves y=4x2-8x+12 and y=3x2-3x+12 We have to area of the region…

Q: graphed below. Find each value. 10+ 10-9-8-7-6-5-4-3-2 lim f(x) = 2-2 lim f(x)= z→2¹ lim f(x) = I-2…

A: Given graph of fx as below

Q: I. Find the slope of the tangent line m and the equations of tangent line and normal line at the…

A: To find the equation of tangent line &amp; normal line.