Identify the type of generalized integral +00 fx'e* dx- and in continuity (if converging) to be calculated.

Q: x²-16 Find k so that f(x)={ x-4 is continuous for all x. k = k ;x=4

A: Given,f(x)=x2-16x-4;      x≠4k          ;       x=4 Here f(4)=4limx→4f(x)=limx→4x2-16x-4limx→4f(x)=l...

Q: dy When solving the Bernoulli DE: x - = , which of the choices is utilized for (1+x²)y substitution ...

A:

Q: (D2+ 4D +5)× = 13e3t+ 5ot

A:

Q: How many transformations must be applied to the graph of the function f(x) to get the graph of the f...

A: The transformation from f(x) to g(x)=2f(2-x)+2

Q: LINEAR DIFFERENTIAL EOQUATION WITH CONSTANT COEFFICIENT (STEP BY STEP SOLUTION) d2x dx 3x = -9t² – 1...

A: The given differential equation is; 2d2x/dt2 - 5dx/dt -3x =-9t2-1. t=0,x=1,dx/dt=0.

Q: Evaluate the difference quotient for the given function. Simplify your answer. f(a + h) – f(a) f(x) ...

A: We have to use the given formula to calculate the difference quotient

Q: Evaluate the integral. | cos (x)dx

A: The given integral is: I=∫cos-1x dx

Q: Question 16 dx What should be the rewrite of the integrand of S so that the resulting integral is in...

A:

Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (...

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose d...

Q: Let f(x) = sin(x) and g(x) = x². Find (fo g)' (x). (2æ)cos(x²) O (-2x)cos(x²) 2sin(x)cos(x) 2xcos(x)

A: Topic = Functions

Q: Find the antiderivative of 5sinx In 5 cos x dx. A.) 5cosx + C B.) 5sinx + C C.) 5sinx In 5 + C 5sin ...

A: We will find the anti derivative. 

Q: 10. A bus is traveling at 66 ft/sec along a straight, level road decelerates at constant rate of 22 ...

A:

Q: Q3 Given the following non-homogeneous system of first-order linear differential equation: yi' = 5y,...

A:

Q: The rate of change in the profit (P) with respect to the number of units sold (x) is 0.0006x² + 10. ...

A: According to the question: It is given that dPdx=0.0006x2+10. we have to find P when x=100. Now  dPd...

Q: 17. A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 3...

A: Follow the procedure given below. 

Q: Suppose that the curve y =( x^4)/8 + 1/(4x^2) on the interval [1, 2] was revolved about the x-axis. ...

A:

Q: 15. A particle moves along a straight line and has acceleration given by s"(t) = 5t + 3. Its initial...

A: A particle has acceleration s''(t)=5t+3Initial velocity is s'(0)=-4 cmsecinitial displacement is s(0...

Q: CALCULUS A. How do you define Differentiation? B. Explain the principle of derivative with a given f...

A:

Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C D....

A:

Q: dx 3. What should be the rewrite of the integrand of f so that the !+cos x resulting integral is int...

A:

Q: a. What is the bridge's height above the water? feet Preview b. How many seconds after being thrown ...

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost oth...

Q: Determine the amplitude, period, vertical shift and an equation involving the cosine function for th...

A:

Q: Evaluate f*27 dx. x+3 A.) + 9x + C B.) 3 3x2 + 9x + C 3x2 C.) 9x + C 2 3x2 D.) ++9x + C I + +

A:

Q: dz Find given: dt z = zew, z = t°, y = - 5+5t dz Preview dt II

A: This problem can be solved as follows:

Q: Use the Intermediate Value Theorem to determine whether the polynomial function has a real zero betw...

A: Given function,f(x)=9x3+10x+6 between -1 and 0Therefore ,f(-1)=9(-1)3+10(-1)+6f(-1)=9(-1)-10+6f(-1)=...

Q: Compute the flux of F = (5(z + 2), 5, 52) through the surface S given by y = ² + 2, with 0 0, z 2 0,...

A: We have to find flux. 

Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f (t) = 2e-3! sin...

A: we use shifting property of laplace transform 

Q: Find the value of k so that the value of (2y - 1) dy is 10.

A:

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y = 2x – y ...

A: We need to solve the D.E.

Q: What should be the rewrite of the integrand ofSAS dx so that the resulting integral is integrable? (...

A:

Q: Bin decides to fly to Hono, Maui from Seattle, a distance of 2,678 miles. His plane travels at 567 m...

A:

Q: pany manufacturing calculators, the cost, revenue, and profit equations are given by C = 90,000 + 30...

A:

Q: 4. Determine if the relations given by the graphs below give y as a function of x. If so, determine ...

A:

Q: For the Ordinary DE y '= f (x, y) to be guaranteed to have a unique solution containing the point (x...

A: Here we have to find when the ordinary differential equation y'=f(x,y) to be guaranteed to have a un...

Q: Use the Law of Exponents to rewrite and simplify the expression. (a) b°(2b)3 (b) (6y³y4 2y5

A:

Q: In Problems 35-40, find f' (x) and the equation of the line tangent to the graph of f at the indicat...

A: Given query is to find the equation of tangent line.

Q: 1. find the area enclosed by the x-axis and the curve y= -x^2+9

A: The region enclosed by the x-axis and the curve y=-x2+9

Q: Calculating the necessary aircraft heading to counter a wind velocity and proceed along a desired be...

A: Solution: Let the angle between the plane speed and wind speed be beta and the ground speed vector b...

Q: (3メーy-4) dy (x+y-4)dx when x« 3, y=7

A: As per our guidelines we are supposed to answer only one. Kindly repost others question as a separat...

Q: Find the equation of the tangent line at (3, f (3)) when f (3) = 20 and f' (3) = 4. (Use symbolic no...

A:

Q: cos(2x)81-x (x*+1) Given f (x) = Use logarithmic differentiation to find the derivative of the funct...

A: According to question,Given function,fx = cos2x81-x4x2 + 1

Q: The given problem needs the first derivative. Find the first derivative. a² x Y= a² + x

A:

Q: (sin x – 1) dx + (cos x + 1) dх %— 0. D.) - (1+) А.) —89 C.)- 1 В.) —91

A:

Q: Calculate the first-order differential equation below using transformation y = xv. dy x+3y= 2x–y dx

A:

Q: Consider the following rational function: 1 anx" + an – 1x" + ajx + a0 ... f(x) bmxm + bm – 1xm + .....

A: Recall: Horizontal asymptotes of a rational function : Consider the rational function               ...

Q: In Problems 39- 42, find the equation(s) of the tangent line(s) to the graphs of the indicated equat...

A:

Q: Since the start of the year, the price of gasoline has been decreasing at the cost of 5 cents per ga...

A: We  have given that the start of the year, the price of gasoline has been decreasing at the cost of ...

Q: BThe distance from the point (-1, -2, 3) to the plane 2z = - 4x + 5 is [b] (input exact value in sim...

A:

Q: A professor gives an undergraduate assistant a summer job organizing her lab. On the first day, the ...

A:

Q: x = 2. What is the value of y when x = -1? а. —3 b. 3 15 С. d. 3

A: