6. (2y²x−y) dx + x dy = 0

Q: 2. 01 S -1-1 (x+y+1)dxdy

A: The Solution is given below

Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ   As we know that; The slope of the tangent line to the given curve is…

Q: The number of bacteria in a culture is given by the function n(t) = 955eº. where t is measured in…

A: Use exponential function

Q: Rewrite the expression In 3 + 5 ln x + 6 ln(x² + 4) as a single logarithm In A. Then the function A…

A: We know the property of logarithm that  ln(a)+ln(b)= ln(ab)  ...(1)  And,  pln(x)= lnxp .....(2)…

Q: Question [ a) [ b) s]: Show all your work. : Evaluate then find f(x). c) ¹ [(x+3) √/x-3dx J: If 1 […

A:

Q: 150 Find the consumers' surplus for a product if the demand function is given by D(x) = 3+x Answer…

A:

Q: J (2) Ten thousand dollars is invested at 645 intrest Compound Continously. → when will the…

A: We can find the required time as below.

Q: 7. Which of the following statements is true? The volume of the solid formed by rotating the region…

A: Volume

Q: What is calculas

A: Concept: Calculus: One of the most significant areas of mathematics that deals with continuous…

Q: Find the arc length of the graph of the function over the given interval. y = In x, [1, 8]

A: Given that  function  y=fx=lnx,1,8The formula for arc length of a curve y=fx over thhe interval a,b…

Q: 16. (yety-1/y) dx + (xey + x/y²) dy = 0

A:

Q: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

A:

Q: dx + 2x dx = 2x²y² dy

A: dx+2xdyy=2x2y2dy dxdy+2xy=2x2y21x2dxdy+2yx=2y2.......1equlet 1x=v differentiate with respect to y…

Q: Suppose we know the following: z = f(x, y) where x = 2v-u, y=v² +2u, (-3,2)= 12, fy(-3,2)= -15,…

A:

Q: Let g(x, y, z) = xy + yz + zx. Find a nonzero vector perpendicular to the level surface g(x, y, z) =…

A:

Q: 2) Consider the DE: y" + 25y = 0 A) Verify that y = C₁ cos 5x + c₂ sin 5x is a solution of the given…

A:

Q: QUESTION 13 Is this true or false? The radius of convergence for Σ()" n=0 is R = Show why your…

A:

Q: The combined electrical resistance R of two resistors R₁ and R₂, connected in parallel, is given by…

A: To find the rate of charging.

Q: Find the minimum and maximum values of the function on the given interval by comparing values at the…

A: Find critical points by putting derivative of given function equal to zero

Q: It f(x) = x² - 4x - 3, find f (x + 3). 10. If g(x) = 2x³ + 4x − 5, find g(x − m)

A: 9) The given function is: f(x)=x2-4x-3

Q: 13. 2ny(8- y³/2) dy A) 4² (14 — y³/²) + C 7 2my 7 (14-y3/2) + C C) B) T² (14+y³/2) + C 7 D) 4²…

A: 13. The given integration is: ∫2πy8-y32dy To evaluate the given integral.

Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

A: Given that       y = ex, 1<=y<=7; y-axis

Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

A:

Q: Let [ 13.5 f(x) dx = 8, 45 f (a) f(x) dx = 3 J4.5 9 (b) (5f(x) - 2) dx = J4. f(x) dx = 3, and Enter…

A:

Q: 1. Given the space curve r(t) = (2e¹,e²¹.e^¹), find the curvature at t = 0

A: I am attaching image so that you understand each and every step.

Q: 3. What is the distance between two points (3,-1) and (-2, - 5).

A: Solution:formula: Distance between two points x1,y1 and (x2,y2)                Distance =…

Q: Do the first two terms of the Taylor series by hand where X_0 = 1

A: Given :∫1232xe-xdx

Q: Evaluate (csc 4x + cot 4x) dx 2

A: Given :∫csc4x+cot4x2dx

Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

A:

Q: The pH can be calculated using the equation pH = -log(H"), where H" is the hydronium ion…

A: We can find the hydronium ion concentration as below.

Q: Let g(x) - 1² f(t) dt, where f is the function whose graph is shown. f S

A:

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A:

Q: Find dy/dx by implicit differentiation. √xy = x5y + 56 dy/dx = X

A:

Q: 9. If = 1, 4, 5) and W = (2, -3, 1 V ( − w a) 3-2W b) |v|

A:

Q: When a patient with hypertension takes a particular type of blood pressure medication, the effects…

A: We have to find the interval in which interval will the systolic pressure be lowest.

Q: find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

A:

Q: Use the Root Test to determine whether the series convergent or divergent. Identify an 00 n = 1 מס →…

A:

Q: Find the minimum rate of change of f(x, y) – y³e-² at the point (0. — 2).

A:

Q: h'(x) = cosxcot(sin^3x)+cosxsinx ⠀ h(x) = sin(x) -2 (cos(t³) + t)dt

A: Applying Leibniz's rule

Q: Consider the following information fz(x, y) = 2xy - 2r³ and f₁(x, y) = x² + y² – 6. Use the Second…

A:

Q: The figure shows the graph of the derivative f' of a function f. Find the critical points of f and…

A:

Q: 2-x Evaluate: 44-3 dx A. In 4x² + 4x-31+ In 2+ 8. In 4x² + 4x-31+In+C c. In 4x² + 4x-31+In++C D. In…

A:

Q: 2. What is the radius of the circle defined by x + y² - 6x + 4y - 1 = 0

A: x2 +y2 -6x +4y -1 = 0 here we have to find radius standrad form of circle is (x-a)2 + (y-b)2 = r2…

Q: Determine the intervals on which f'(x) is positive and negative, assuming that given figure is the…

A:

Q: JI X

A: Given 121-111231X=0-21 Let the matrix X be X=xyz

Q: Find the indefinite integral. x + 7 √x² + 14x5 Step 1 J To find the indefinite integral dx x + 7 x²…

A: Topic = Integration Fill the blanks with   du = (2x+14) dx

Q: Use the formula for the binomial series: (1 + x) = to obtain the Maclaurin series for 1 (1 + x)5° 1…

A:

Q: Find an equation of the tangent line to the curve y = 3 arccos (1,4 π). Select the correct answer.…

A: Find an equation of the tangent line to the curve y= 3cos-1(x/2) at the point (1,4π) .

Q: Let f(x) = 8 n=17² Find the intervals of convergence for f. (Enter your answers using interval…

A: According to bartleby guideliness we can answer only the first 3 subpart of the question.   Also we…

Q: The volume of the solid obtained by rotating the region enclosed by y = x = 1, x = 7, y = 0

A: