What is f 5√xdx? 3 f 5√√xdx = 5x² + C 2 3 f5√xdx = 10x² + C 3 f5√xdx = 5x² + C 3 [ 5vxdx= 5x? +C

Q: Classify each differential equation as separable, exact, linear, homogeneous, or Bernoulli. Some…

A: See Explanation

Q: Given the differential equation y'' − 3y' – 4y = - 2 sin(2t), y(0) = 0, y'(0) = - = - 1 Apply the…

A:

Q: Write the first five terms of the sequence: +∞ {√n² + n n n=1 Determine whether the sequence…

A: The given sequence is;  (sqrt(n2+n) -n).

Q: Use the Factor Theorem to determine whether x+1 is a factor of P(x)= 2x4 +2x3 -6x2 +6…

A:

Q: (8) IF: A=1+j+ k, B = i +2j- 3k Find A-B, A.B 2A.3B, A B, (A+B) (A-B) .

A:

Q: a. ²₁ (5x¹-2x³) dx

A:

Q: Write an equation describing the relationship of the given variables. y varies inversely as the cube…

A:

Q: 12. DETAILS ZILLDIFFEQMODAP11 1.R.001. Fill in the blank. The symbol C₁ represents a constant. d =…

A: The solution is given below.

Q: = 2. If y = sin³ (-) cos³ (1) prove that y' = sin² (x) cos(x)

A: Topic = Derivative

Q: Find the first partial derivatives of the function. f(r, s) = r ln(r³ +56) fr(r, s) = fs(r, s) =

A: To find out the first partial derivatives.

Q: 2. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A:

Q: Calculus I

A: Given, h(x)=x2-f(g(x))

Q: Find the volume of the solid generated by revolving about the y-axis the region in the first…

A:

Q: Assume a and y are functions of a third variable t. If xy = 30 and 10, find dt 0-6 0-3/1/20 O-12…

A: Here we use the concept of derivatives

Q: Consider the following graph of a function f(x) 4 A. For what value(s) x is f discontinuous? If f is…

A: Since you are asking a question with multiple subparts, therefore we are answering only the first…

Q: Which of the following is TRUE about the function y domain is greater than 3 O as →→ 00, y → 0 x = 3…

A:

Q: What is the lim0+ (=//=²²1)? - If your answer is a Whole Number Fraction (+) Positive Infinity (-)…

A: Let's find limit of the function.

Q: Determine dy/dx, if the curve is described by the equation 4y^3-5x^2y=4x^2

A:

Q: Evaluate the surface integral [[ F.ds where F(x, y, z) = (x³ +y³) i+(y³+z³) j+(z³+x³) k S and S is…

A: We will calculate surface integral , use of divergence theorem

Q: Find y' 1. 3x − y + (3x-y)5 = 100

A:

Q: 4. Three collinear vectors, a, b, and c, are such that à = 2²/b b and à = 1/2c. (a) Determine…

A: The objective of the question is determine the knowns.

Q: 6. Derive the reduction formula for f q²dq (a²+q²)m

A: Using substitution find the reduction in trigonometry function

Q: 3. f(x) = x-4 x+5

A:

Q: √-x if x1

A: Sketch the graph of f(x) Given information; The function is fx=-x,   x<012x,      0≤x≤12x-x2,…

Q: What is the derivative of y = 3x6? 2x6 2x5 18x6 18x5

A:

Q: Evaluate the following integrals: 4T Vcsec 0 de 0

A:

Q: Problem 1. A rectangular enclosure is to be built next to a river. There will be no fence on the…

A:

Q: Calculate the differential equation dy dt and (i) Show and 3 y (π) 2 general solution + 3t² y = cost…

A:

Q: What is the equation of the tangent line to the curve y = √2 +16when x = 3? V x-10y +47=0 3x-25y-116…

A: SOLUTION-

Q: Find the area of the region bounded above by y = -x² + 4 and below by y = x - + 54-324 2,345 ມາຜ່າ !

A: We are asked to find the area of the region

Q: Evaluate the integral. The integral from 0 to t of 9sin^2(x) dx  Then determine whether the…

A: A detailed solution is given below.

Q: Solve the given differential equation by finding, as in Example 4 from Section 2.4, an appropriate…

A:

Q: Q3: Find the general solution for the following Deferential Equations using Variation of Parameters…

A:

Q: 5. y=(x+2)e+²+1 6. y= 3* -9 Inx-2 7. y= 1 12 (ex + 1)²

A:

Q: 3. A 5-pound monkey is attached to a 20 ft hanging rope that weighs 0.3 lb/ft. the monkey climbs the…

A:

Q: 5. If the variance equal 16, the standard deviation equal: OA. 4 OB. 10 O C. 5 OD. 3 O E.2 6. If the…

A:

Q: Q2 (a) Sketch the following function of period 27. f(x)= |x| (-1 ≤ x <n) f(x + 2x) = f(x) (b)…

A:

Q: Given: f(x, y) = ln[1 + x siny] Find: 8² f(x,y) 8x² 2 sin y (1+xsin y)² ○ _ __ sin² y (1+zsin y)²…

A:

Q: Find the area between the y-axis and the graph X = 543-2-1 1 2 3 4 5 (y - 3) dy = 6.500 (y - 3) dy =…

A:

Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: Determine whether the series is convergent or divergent by expressing s as a telescoping sum. If it…

A:

Q: 4. S 3+1 (²+4)² の dø

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the volume of the given solid. Under the plane 3x + 2y - z = 0 and above the region enclosed by…

A:

Q: 9. Find the volume of the solid generated by revolving about the y-axis the region bounded by the…

A:

Q: PROBLEM: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its…

A:

Q: (a) Find the average rate of change of f(x) from x = 1 to x = 2. 7 (b) Using the definition of the…

A:

Q: Write the following sets in set-builder notation. There may be more than one correct way to do it.…

A:

Q: FIND y' ● 5x³3y5 = 4x²y + 10

A:

Q: Determine the infinite limit. x² x→9 (x - 9)² lim O 8 88

A: Find out the limit of the function.

Q: Given: f(x, y) = arctan Find: F ƒ(x, y) dxdy x² - y² (x² + y²)² 3²-x² (x² + y²)² -y³ (y³ + xy²)² y²…

A: Given: fx, y=arctanxyTo Find: ∂2fx, y∂x∂y