1) Given f(x, y) = x derivative of f? which of the following is Əyox the mixed second order par f

Q: Find the curl of the following vector field: F = (z, 2y, -3x)

A: Follow the procedure given below.

Q: 4. Find the volume of the solid generated by revolving about the line y=-3 the region bounded by the…

A: Using disc method, volume is evaluated.

Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

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Q: dy dx +y = 0 y(0) = 1 Using Power Series, solve for y(x) at x₁ = 0 Using First Order Runge-Kutta…

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Q: Show that the interval of convergence of the Series 2n-1 27-1 (4-3) IS given by -544/2 SWE

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Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

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Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: x 0/x 6+29r² SS S 0 0 0 Evaluate the cylindrical coordinate integral The value is 247 960 (Type an…

A: This question can be solved using the concept of triple integrals.

Q: (Q3:- prove the Cose =(A.B/AB Q4:- Find the angle between along diagonal and an adjacent face…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the area that lies inside both curve: r = 1 – cos(θ) and r = 1 + cos(θ). Draw.

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Q: √√(x + y + 2) ds, 0sus 5, 0≤v≤1 S is the parallelogram with parametric equations x = u + v, y = u -…

A: Solution is here

Q: At 12:00 noon, there were 200 bacteria present. By 4:00 pm, there were 379 bacteria. If the bacteria…

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Q: Find the points on the cardioid r = sin(2θ) where the tangent line is horizontal. Draw.

A: We have to draw the cardioid r=sin(2 theta)  And find the point where the tangent line is…

Q: Find the transition points. y = 15x³ + 360x² (Use symbolic notation and fractions where needed. Give…

A: The given function is: y=15x3+360x2

Q: A) 0 B) 3 (C) 2 (D) 4 E 5 F) 1 Use polynomial long division to write 2x² + x³ 3x² + 4x-9 x² + x =…

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Q: A company produces a special new type of TV. The company has fixed costs of $480,000, and it costs…

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Q: 8. 9. 10. Given f(x) = cos(3x + π), find ƒ'(π) a) 0 b) -1 c) -3 If f(x) = √ex, the derivative is: a)…

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Q: 1. Consider the curve y = f(x) = 2* - 1. A. Find the exact area of the region in the first quadrant…

A: Disclaimer: ''Since you have posted a question with multiple subparts, we will solve the first three…

Q: K Barbara, Donna, Cindy, and Nicole ran in a relay race. Their times are listed in the chart below.…

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Q: The question is in the image attached

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Q: A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of…

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Q: The height y (in feet) of a ball thrown by a child is 1 y = -x² + 4x + 3 14 where is the horizontal…

A: Solution is here

Q: Evaluate the following: 1. f(x³ + 3x²)dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find X values of all points on the graph of g=x²³ + 3x² -11x +5 where the slope of tangent line is 3…

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Q: Let f(x, y) = 2x and C be the line segment on the plane from (0, 0) to (3, 4). Evaluate the line…

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Q: Find the scalar equation for each line: (a) a line through the point (-6, 7) with direction vector…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A balloon is rising at a rate of 3 meters per second from a point on the ground 55 meters from an…

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Q: Let F(x) = x √ √2+1 dt. Find F"(1) 3

A: Given: F(x)=∫3x t2+1dt Leibniz integral rule for differentiation states that ddx∫a(x)b(x)…

Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

A: Concept: The disk method: The volume of the solid created by rotating the region enclosed by the…

Q: Find the relation between backwards finite difference and average operator.

A: Given

Q: Determine the average rate of change of the function on the given interval.  f(x)= 3x2-4 on [1,2]

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Q: Evaluate the following integrals: 1. f (cosx- sin x) dx 2. fcot²x dx 3. f (sin x + x) dx

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Q: E) Evaluate the triple integral on the left in each of the following: (a) ff₁dz dx dy = 1 "dz dy dx…

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Q: Use polar coordinates to find the volume of the given solid: Insider the sphere x² + y² + z² = 16…

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Q: 5. If f f(x) dx = 12 and f f(x) dx = 4, then all of the following must be true a. f f(x) dx = 16 ✓…

A: topic- definite integral

Q: Let A(z) = f(t)dt, with f(x) shown in the graph below. N -2- At what x values does A(x) have a local…

A: Ax=∫0xftdt, with f(x) shown in the graph.

Q: SR(xy)dA where R is the region bounded by x=0, y=2x+1 and y=-2x+9.

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Q: Evaluate the following integrals: dx dx a. S b. f √81+16x² √16x²-9 C. S dx 49-4x²

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Q: Evaluate the difference quotient f(a+h)-f(a) for the function f(x) = x² + 4x - 5. h 2a +h+4 h+4 2a +…

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Q: For 2 and 3, find the Mac series of f(x) by any algebraic method using the above known expansions.…

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Q: erivative 263.7 0.5cos0+ 0.3515.sim

A: Derivative

Q: find differential equation of the following equation 1) y' = -x y+x

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Q: Find the divergence of the following vector field: 00 O 2z O F = (y, -x + z², 3x)

A: We can solve this as follows:

Q: What is the average rate of change of f(x) from x₁ = -8.2 to x₂ = 2.8? Please write your answer…

A: Follow the procedure given below.

Q: 412 Evaluate the integral (x² + y² + z²) dz dy dx. SSS 000 412 SS S (x² + y² + z²) dz dy dx = [ 000…

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Q: Find the particular solution using the initial condition. y' sin(2y) - cos x = 0, cos x = 0, y() = 0…

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Q: Find ď²y dx² x = 3 sin t in the parametric equation y = 3 cost 0≤t≤ 2π.

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Q: S # 3 X Use the fundamental Identities to simply the expression. 1) tan & coft 2) cos²0 2 +CSCO sint…

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Q: Let y 5x²8x + 4. If Ax = 0.1 at x = 1, use = differentials to estimate Ay Ay ~

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Q: Find the general solutions of the system. 200 14 -575x 002 x(t) =

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