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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) sin(4h) lim h h→0

A: The given limit,      limh→0sin4hh

Q: 3. Find the area of the region in the first quadrant that is enclosed by the coordinate axes and…

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Q: In -dx x²

A: This is a problem of integration. Based on the general formula of integral by parts we will solve…

Q: d (cosh* 3x– sinh* 3x)= In(x + Vx² -1). -1 (b) Show that for x 2 1, coshx- - dr

A: This is a problem of trigonometric hyperbolic inverse identity. Based on the fundamental formula we…

Q: y" 2y'+ 17y-0; e cos(4x), e sin(4x), (-m, on). Venify that the given functions form a fundamental…

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Q: Question Is S (÷x² + 5x + C ) dx = Зх + 5 сorrect? CLAIM EVIDENCE REASONING

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Q: (1) Find the equation of the curve given the slope of its tangent line (mr) and the point P(a,b)…

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Q: "he velocity function, in feet per second, is given for a particle moving along a straight line.…

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Q: C) Prove that a Cauchy sequence of real numbers is bounded.

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Q: Consider the following function: 9x2 – 3x 10 if x < 7 f(x) = - 6x2 – 5x – 2 if x 2 7 Step 1 of 2: At…

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Q: Question 2 of 10 View Policies Current Attempt in Progress Find the directional derivative of f at…

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Q: Šolve the following problems completely and accurately. Part 1: Solving Differential Equations (1)…

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Q: S sin x In(cos x) dx

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Q: 1) Find an equation of the tangent line to the curve y5+x2y3 = 1+x4y at the point (1,1).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: A В Use the method above to find the distance from the point P(-3, 1,8) to the line through A(1,…

A: Given that the point P(-3,1,8) to the line through A(1,1,0) and B(-2,3,-4)  To find the Distance

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: Find the radius and interval of convergence for the series (n!)2 (2n)! (æ – 5)³n - n=1

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Q: Give the curve r=3 cos 0 a) Find the points on the given curve r = 3 cos 0 where the tangent line is…

A: θ r=3 cosθ 0 3 π4 32 π2 0 3π4 -32 π -3 5π4 -32 3π2 0 7π4 32 2π 3

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Consider the parallelepiped with adjacent edges u = 3i + 4j + k v = i+j+ 4k w = i+ 9j + 6k Find the…

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Q: Find an equation of the plane through (0, –9, –1) that is perpendicular to the line x – 2 = 3t, y +…

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Q: Find the arc length in the second quadrant of the curve x23 +y2/3 = 25 from x = - 125 to x = – 8.…

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Q: Use x = au, y = bv to show that the area of the ellipse x2 y? = 1 is rab. 62 a2

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Q: Solve the following differential equations using the method of undetermined coefficients. y" + 4y' +…

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Q: Is y = 2x² a solution to the differential equation 1/2 (x^2)y'' - xy' + y =0?

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (4, 5) a = 3 b = 1

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Q: A cleaning service company found that the operating costs increase at a rate of 24x - 10x thousand…

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Q: Express the given parametric equations of a line using bracket notation and also using i. j. k…

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Q: Find the length s of the circular arc. S = 9. 5 A

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Q: Find an equation of the plane through (-8, 4, –9) that is perpendicular to the planes 5x – y +z = 1…

A: Solution of question is written in below steps.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-8,-6)…

A: Let's find.

Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

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Q: Find the vector component of v = 2i -j+ 3k along b = 3i + 6j + 6k and the vector component of v…

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Q: (2.4) What is the height of the ball when its velocity is one-half the initial velocity?

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Q: Eind the area of the given region. Use a graphing utility to verify your result. (Round your answer…

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Q: 5 dx J 125x2-9 5. 4t.a-2t

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Q: endicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Here we have to find the equation of plane which is perpendicular to the other plane.

Q: Consider the following. u = 5i + 4j, v = 31 + 2j (a) Find the projection of u onto v. 33 3i + 2j 13…

A: u = 5i +4j v= 3i+2j   a projection of u onto v  = (u*v)v/|v|2 u*v = 15 +8 =23 |v|2 = (32+22)2 = 13…

Q: Use the Left Endpoint approximation method to approximate the area under the graph of the function…

A: This is a problem related to reimann left hand sum calculation. Based on the general formula we will…

Q: ur understanding. Write TRUE on the space provided if the statement is if incorrect. i dx = 2x-5 In…

A: We have to consider the given statement is true or false

Q: Units

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Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. L1 :x = 1 + 7t,…

A: If line L1​ and L 2 are not parallel and not intersecting, then this lines must be skew.

Q: sin 3x 22. Integrate: JS dx V25-cos² 3x A. -sin-1 (os*) + C 'cos3x' (cos 3x` C. -sin *) + C 15 B.…

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Q: 10 | f(=)de – f(=)dz = | f(2)dx What are the values of a and b? a = b =

A: The objective of the question is determine the value of a and b.

Q: A horizontal aluminum rod 4.9 cm in diameter projects 4.4 cm from a wall. A 970 kg object is…

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Q: Find the relative maxima and minima of y by the second-derivate test: y= x^3+6x^2+

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Q: Any plane passing through (-2, 2, 2) is A(x+2) + B(y – 2)+C(z- 2) = 0 : It passes through (2, –2,…

A: Solution of 3 variables linear equation is solved by using cross multiplication method.

Q: Instructions: (I) Use Limit Laws to find the limit of each given problem. (II) You may only use…

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Q: Use the method of reduction of order to find a second solution of the differential equation 1?y" +…

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Q: So  for the last part of the Question is it A. The Root Tests says that the series converges…

A: Apologies for the inconvenience. Here is the complete solution:   Given series is = ∑n=1∞an where…