Ал So for sins (co COS 8 5 ¹ (1) d. dx

Q: Which of the following describes the graph of the polar equation r = 2 − 4 cos θ? (a) A limacon…

A:

Q: y = 3-x²

A:

Q: 6. Evaluate the following multiple integrals. π +2 (a) y sin(xy)dady (b) [1² fr esc² 0dødr π/4 π/2 ©…

A: As per our guideline we have to solve only first three parts

Q: Find the orthogonal trajectories of the family of curves: y = k (csc x + cotx) Ⓒy²= 2 (C- cos x) O y…

A: This question is related to differential equations, we will solve it using given information.

Q: If z₁ = 5-i, z₂ = 1-2¡ then evaluate 32₂ +22₁-5- z, 2z, -3z₂ +3-i

A: Use complex number concept

Q: Compute the derivative of the function y using derivative rules. y = (13x4 +5 - 5)³ (Express numbers…

A:

Q: Find the nth Maclaurin polynomial for the function. 4x - 5 f(x) n = 4 x + 1 P4(x) = =

A: The function is  f(x)=4x-5x+1

Q: Determine the arc length of the curve formed by the polar equation r = 4 cos 0 - 4. 2T 2п 2√/2 √1 -…

A:

Q: 4. · [ (8x − 3) (4x² – 3x) ³ dx x J dx √1-4x² x ·S dx 3 - 5x² 5. 6.

A:

Q: Given an acceleration function a(t)=, find velocity and position functions, given that v(0)= and…

A:

Q: Consider the following: (5/2,1), (-9/2, 8/3) Find the distance between these points.

A:

Q: Given the number or numbers where the function is discontinuous. Is the discontinuity removable?…

A:

Q: .. Solve the following differential equation using the indicated method. (a) y"+y' - 2y = x² + 2 sin…

A: Solution is here

Q: Solve the given by simple substitution (2x + y)² dx - 2dy = 0

A:

Q: The sum of two positive real numbers x and y is 12. Find an x and y among these such that the…

A: The sum of two positive real numbers x and y is 12.

Q: Solve the general solution of the equations in items 3-4. 2 (2x² + y²) dx - xydy = 0 C Oy-1=x-3+C…

A:

Q: Please can I have the correct solution to this mathematics problem in a step by step form. Thanks…

A:

Q: Find the derivative of the function. y = -2e - 5x²

A:

Q: 1. 2y7y"+12y + 8y = 0

A:

Q: [1 0 1. Let A = = (i) AB (ii) BA (iii)Is AB=BA? 41 2 -3 4 -5 -1 1 2 VY and B = 23 -5 0 6-2 [-1 -3]…

A:

Q: me

A: We have to solve the given differential equation

Q: 1. [(5x (5x - 3)100 dx 2. [(x − 3)¹/4 da dx 5 3. · / ( 2² + ² ) ( ²2 2²³ + 2) * dx 2 3

A:

Q: (16,5) 5 10 15 (4,0) (16,0) (a) Find the length of each side of the right triangle. Distance between…

A: The triangle has vertices 4,0, 16,0, 16,5

Q: Consider the triple integral fff (x + y + z)dv E where E is the solid enclosed by the cylinder x² +…

A: Given

Q: Let x³ + yª + 8x + 3y = 7. Computeat (2,1)

A:

Q: 1. f(x) da converges, then If f(x) ≤ g(x) for all z in [a, +∞o) and converges. g(x) dx also

A: Given

Q: 9. Find a unit vector perpendicular to both [1,2,-3] and [2, -1, 4].

A: Given a=i+2j-3k b=2i-j+4k Aim : to find unit vector perpendicular to a and b

Q: Find the tangent line approximation for √1 + x near x = 5. y = |

A:

Q: .. Find the derivative of each of the following functions:- 1. y=(sin ¹x²+ 1+tan x

A:

Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A:

Q: C. Find the volume of the solid generated by revolving the area bounded by the given curves about…

A: Using shell method, volume is evaluated.

Q: 1.₁-1/dt 2. -1 -2es-1ds

A:

Q: -37 :5³T sin³ (1) cos³ (1) dx 0 6

A:

Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: Q: IF A=[4] and, I= identity matrix Then, Y=A² + A - 21 Find Matrix Y ? 1. [16 16] 10 2. [16 781 3.…

A:

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

A:

Q: Determine the graph of the equation a² + y² + 2² - 6x + 2y - 4z + 19 = 0. O Sphere O Point O Empty…

A: Given :x2+y2+z2-6x+2y-4z+19=0

Q: Please explain this process: 49 7.760 Σ 7+1 10⁰ 49 = 3 1-7 3 10 ↑ n= P 16.33

A: Using geometry series

Q: For what values of a are the vectors (4, -2, a) and (9, a², a) orthogonal? O -6 and 6 0 O -2√3 and…

A: Equate dot product of two vectors to zero

Q: Given that f(-10) = -0.1 and f(-9.6) = 1.8, approximate f'(-10). f'(-10) ~ ≈ 94

A:

Q: 2 ind the arc length for f(x) = 6-2 x² over the interval [0, 2].

A:

Q: Given the vecor-valued function R(t) = cosht i ln(t+1) j+et k, find lim h→0 R(0+ h) - R(0) h O…

A:

Q: Evaluate the given indefinite integral. 7 c 7 cos √6x dx= [ (Type an exact answer. Type an…

A: Solution: ∫7cos 6xdx Apply integration by parts

Q: 7. S d.x 25x²+36

A:

Q: For items 1-2, identify the substitution equations and solve the solution for each. (x - 2y + 5) dx…

A:

Q: - 3x Find the derivative of y with respect to x if y = e

A:

Q: Suppose that f(x) is differentiable for x > 0, y = 2x + 1 is the tangent line to the graph of fat x…

A:

Q: π Determine the Taylor series for f(x) = sin x about x == 3

A:

Q: 10. f(x, y) = x/(x² + y²)

A: