Find dy dx dx y=6( cscX+ cotx)( cscX- cơ -0

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Orthogonal component of AP →=AP⇀sinθ we know AB⇀×AP⇀= AB⇀AP⇀sinθ

Q: Make a table of values for the equation. y = 4 - |x| X -4 -2 0 2 4 у

A: The objective is to solve the above question.

Q: 5. (a) C Evaluate sinxcos³ xdx 1 1 sin³ x+-sin³ x+C 3 5 3 sin x sin³ x+C 1 (b) cos³x-cos³x + 1 (d) 3…

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Q: Find the derivative dy/dx by implicit differentiation cos(xy) = 1 + sin(y)

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Q: Let s(t) = 8t³ - 60t2 +96t be the equation of motion for a particle. Find a function for the…

A: As we know that; The expression for the velocity is; vt=dstdt The expression for the acceleration…

Q: 1. Find the general solution to the DE ye 2x (4+e ²*) dy = 0 dx

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Q: Use the Product Rule or the Quotient Rule to find the derivative of the functic y = 7x5 sec(x) y' =…

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Q: Evaluate the integral 1 d.x √4+x²

A: Here we have to use the u-substitution method.

Q: Use implicit differention to find an equation of the tangent line to the curve at the given point…

A: Derivative is the key for such problems

Q: Practice = (y²-9) dx *xydy = 0 xe linear in dy ау x X dy + xy₂² dx + ye dx - sin 2x dx = 0 X not…

A: We find integrating factors to solve the linear differential equation of 1st order.

Q: 2-4 - 10 i. What is the domain of g? b. Suppose g(z) ii. What is the range of g? Preview Preview no…

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Q: 4) f(x) = (x³+3X4x+D сха X.

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Q: Tutorial Exercise Find the volume V of the solid obtained by rotating the region bounded by the…

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

Q: Use the position function s(t) = -16t² + vot+s for free-falling objects. A ball is thrown straight…

A: The position function st=-16t2+v0t+s0 for free-falling objects. A ball is thrown straight down from…

Q: II. Determine the point(s) of intersection, m, and m₂, and the angle(s) of intersection of the given…

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Q: Find in rectangular (Cartesian) form all square roots of the complex number w = -15+8i Give your…

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Q: 2 of 8 Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms…

A: a) Leta=-2i+5ja^=a|a|a^=-2i+5j(-2)2+52a^=-2i+5j4+25a^=-2i+5j29Therefore unit vecor along a is…

Q: KINR 2. Let R be the region bounded by the z-axis, y = sinx on [0,5], and z Using washer method,…

A: volume is =3.8157

Q: Evaluate S² (ti + t²j + t³k)dt = i+ j+ k.

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Q: П Let a = ci + j and b = 3i + 4j. Find c so that the angle between a and b is 6 Round your answers…

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Q: vhere f(x) = 4x + 7. If the limit does not exist enter DNE. lim h→0 f(5+h)-f(5) h

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Q: (12 points) Use the graph of y = f(x) in the accompanying figure to estimate the value of ƒ'(2).…

A: The derivative of the given function at "x=2" can be found by evaluating slope of red line

Q: | Find the general solution to the DE (x + m)dy = (nx - py)dx

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Q: Select the correct graph of the derivative of the function f(x) given below. -4 -2 -2 -4 12 4 X

A: Solution: Given figure is

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves ab x =…

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Q: Find the derivative of the function. √√5-4 √5 + f(s) = +6

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Q: Q2: Solve the national-income model by matrix Inversion: C + Io + G....... . (1) C = a + b(y-T), (a…

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Q: Determine whether the following lines intersect and, if so, the point of intersection. If they…

A: The lines first be written in parametric form.

Q: ƒ(x) = = (x + 1)(x+2) x² - 3

A: As we know that; The Sum/difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule:…

Q: Let f(x)=x²-2x on [-5, 1]. Use the IVT to determine if there is a solution to f(x) = 15 in the…

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Q: Let r(t) = (2 cos²t, 2 sin²t, 2t), find the exact value of the curvature of r(t) at the point 31 π…

A: This question can be solved using the concept of radius of curvature.Radius of…

Q: Consider the parallelepiped with adjacent edges Find the volume. V = i u = 7i+ 5j + k v = i + j + 6k…

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Q: The triangle represents one-fourth of some whole shape. What might the whole shape look like?

A: The triangle represents one-fourth of some whole shape. To determine how the whole shape will look…

Q: Solve the differential equation below, when x = ; y = -4. 2 dy dx 5e cosx. If y(37) = a; find the…

A: I have appended the formula used in the solution part of the question

Q: Find the line through (7, 1, -6) that intersects and is perpendicular to the line x = -1 + t, y = -2…

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Q: Solve the initial value problem y′=(2x^2+2y^2)/(xy), y(1)=5

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Q: The point Q(-7,7) is translated by T[23] and then receded with the y=-x axis then the resulting…

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Q: Section 4.1 Problems In Problems 1-8, find the derivative at the indicated point from the graph of y…

A: To find derivative of the given function.

Q: 3. Let r : R → R² with r(t) = x(t)i + y(t)j where x(t) and y(t) are both twice differentiable. (a)…

A: We are given function r : R ->R2 with  r(t) =x(t)i + y(t) j Where x(t) and y(t) are twice…

Q: A spherical shell with inner radius r and thickness Ar is the region in between a sphere of radius r…

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Q: T Use Trapezoid rule to approximate the value of [sin xdx. Use four 0 subintervals. Express your…

A: Topic:- application of integration

Q: a Estimate the value of 2 3 x +4 width using Simpson's rule. Round the final result to five decimal…

A: The objective is to evaluate integral using simpsons rule.

Q: Solve the initial value problem 11 -x dx - y = ¹²e³; y(0) = -1 dx 8 Find the general solution ● (x²…

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Q: If a snowball melts so that its surface area decreases at a rate of 0.2 cm²/min, find the rate at…

A: Please refer to the image below

Q: Find a non-zero 2 x 2 matrix such that -2 7 -35 10 ][= =] = [88]

A: Let a matrix ab cd such that 7-2  -3510ab cd=00  00

Q: dx If z² = x² + y², t = 6, and dt. 5, find dz dt. when x = 4 and y = 2.

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

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Q: What is the slope of y=et at t=0? Find the slope dy/dt at t = 1.

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Q: Decompose a = (4, -1,0) into parts parallel and perpendicular to b = (0, 1, 1). What is the…

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

Q: A solid is generated by revolving the region bounded by the following about the y-axis. y = x² y = 8…

A: Note: Since the student has not mentioned up to how many place, the final answer to be rounded off.…