4. f²₁(x² x)dx 5. (4- x²) dx

Q: 4. Given z = *-y x+y Find az/ax

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Q: Use implicit differentiation to determine dy dx = dy dx given the equation x² + y5 = 3.

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Q: Find the general solution of the differential equation: y' - 5y = te-2t Use lower case c for the…

A:

Q: What integration technique can be used to integrate: (A) Integration Formulas (B) Integration By…

A: Option (d)

Q: (a) Find the slope of the tangent line to the given polar curve at the point specified by the value…

A: We have to find the slope of the given polar curve at the point specified.

Q: 4. Lim ¹G- X-0 1 Arctanx.

A:

Q: 5x +34 if x - 6 2 if x = -6 Select all statements below that you agree with. Note: You may be…

A: We

Q: (d) The set of points in space equidistant from the origin and the point (0,2,0). (e) The set of…

A: Question d and e has been solved as per the request of the student.

Q: 7. Find the Taylor series for f(x) = ln(9 – 3x) centered at 1. Write the final using sigma notation,…

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Q: The position of an object moving along a line is given by the function s(t)= - 8t +72t. Find the…

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Q: Find the transition points. y = 3x² - 42x6 (Use symbolic notation and fractions where needed. Give…

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Q: A region is bounded by the y=x² and y=6x-x2, Which of the following integrals would approximate the…

A:

Q: 10. 2z + 3 2+2 11. 2z - i iz + 2

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Q: 3. 4. If = (-12, 4, 8) the position vector of u is...........

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Q: A fifth degree polynomial with constant coefficients may have (1) 5 distinct real roots. (II) 3…

A: This question can be solved by using the concept of nature of roots of n degree polynomial.

Q: Which of the following correctly represents the plane region in the first quadrant bounded by the…

A:

Q: Evaluate the integral. 4π S t² sin(2t) dt

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Q: Find the general solution to differential equations 2 #) (-2xy) dx + (Siny-x²) dy +³

A:

Q: The degree of DE: (y")^2 +3y(y')+y^3 (y')^5 = 5x 02 01 05 0 3

A: Recall:  The degree of D.E. is the highest power of the highest order derivative in a D.E.

Q: ow that the differential form in the integral below is exact. Then evaluate the integral. 5,1) 20x…

A: We have to examine that the given differential form of intregal is exact or not .after that we have…

Q: Find the area bounded by the following functions/lines/curves: f(x) = 3x3 - x2 - 10x; g(x) = -x2 +…

A: Given: f(x) = 3x3 - x2 - 10x; g(x) = -x2 + 2x Let's first find the intersection point  3x3-x2-10x =…

Q: y" - 3y" + 3y' - y = x - 4ex

A: Let's solve diffrential equation.

Q: What integration technique can be used to integrate: 5√3+x² dx X

A: Follow the procedure given below.

Q: rk the critical points on the following graph. z2 - 14 70 56 42 28 14 3 4 5 " -4 -3 -2 -1 -14 -28…

A: Topic:- calculus

Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

A:

Q: The domain of f(x)=y=. x-1 x+2 is

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Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

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Q: A ferris wheel is 25 meters in diameter and boarded from a platform that is 1 meters above the…

A:

Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: Given Cost and Revenue functions C(q) =q³-8q² +54q+5000 and R(q) = -3q² + The costs are $ (Round to…

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Q: Consider the equation y' - 2y = te State the integrating factor u(t) and find the general solution…

A: This question can be solved using the concept of linear differential equation.

Q: Find the general solution of the following 2nd order differential equation: y* +2y + 2y = 0

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Q: Which of the following is not an improper integral? # of th al

A: We know that, An improper integral is a definite integral that has either or both limits infinite or…

Q: 2. Given the following logarithmic expression: log, 1+ 2log 5 + log₂ 2 +log, c-log, 100 Which of the…

A: Given: logc1+2logc5+logc2+logcc-12logc100

Q: Find the exact value of the surface area generated by revolving the curve 1 + 1≤x≤2, about the…

A:

Q: y = tan (xxy) -1

A: We have to evaluate the following differential equation.

Q: The region in the first quadrant bounded by the graph of y=8-x3/2 the x- axis, and the y-axis is…

A:

Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.

Q: Given f(x,y)=x-exy, evaluate fy(3,0). 06 O 27 O 9 O 13

A: topic- partial differentiation

Q: 6. Find of z = In(xy) 8²y

A: Given:       z=lnxy     ∂z∂y=∂∂ylnxy  Treat x as constant  Apply chain rule:…

Q: Evaluate So * sin ada

A:

Q: The region in the first quadrant bounded by the graph of y=8-x32, the x-axis, and the y-axis is…

A:

Q: : Evaluate the following integrate: 1- S x²dx √√9-x² 2-[(2 + 5x)e³ dx

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Q: The graph CC of the equation y = gives the course taken by an oil tanker after leaving port, which…

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Q: dy dx 11 1 + x-F y.x +5

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: ind A or each of the following intervals, tell whether f(x) is increasing or decreasing. -∞o, A):…

A: Topic:- calculus

Q: Find the area bounded by the curve r = 2-cos 8.

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Q: Q4: If f(x,y) = x²y +exy Siny Find 1) 2) (D = f) at po(1,0) in the direction of 0 = Po

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Q: Q1: A. Find the general solution of the following Initial Value Problem (IVP): y+9y-10y = -40t²-72t…

A: