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Q: Use the Power Rule to compute the derivative. (Use symbolic notation and fractions where needed.)…

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Q: Which among the following is an odd function     x3 + 1     x5 + 3     x3 + x2     x3 - x

A: A function is said to be odd function if f(-x)=-f(x).

Q: (In billions of dollars per year) can be modeled D'(t) = 841.51 + 815.24t- 189.51?+19.16t where t is…

A: Given

Q: Solve for a andb that makes the function continuous at every number in its domain f(x) = 2x+1 x5

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Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: Compute the partial sums S2, S4, and S6. 9 9 + 9 + S2 = | %3D S4 = | S6 =[ %3D + +

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Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: Let a - ci +j and b- 9i + 12j. Find c so that the a %3D Round your answers to four decimal places…

A: Use dot product

Q: From Rogawski ET 2e section 10.2, exercise 34. Use the formula for the sum of a geometric series to…

A: topic - geometric series

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: Find the if yvx- 8 = xy + 2 Vx - 8 = xy + 2 – 8 dx

A: We can find the derivative as below.

Q: HOMEWORK 2 The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the…

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Q: Which of the following answer choices correctly graphs the equation below? y=cos(x+ 3π/4) −5

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Q: Find the vector component of v = (4, – 1, 7) along b = (2, 4, -4) and the vector component of v…

A: As we know that; The expression for the vector component of v along b is: Vector component of v…

Q: Determine the number at which h(x) = V16 – x² is continuous. %3D | Vx²-1 Determine the largest…

A: Note that: A function is said to be a continuous function on some interval when the function is…

Q: 5-e xp 2x 2x e du= 2e2x

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Q: • The domain of the function is set of all possible input values for which function is defined.…

A: Given the function  y=x2-x

Q: Find dz/dr if z as a two variables function in r and y is defined implicitly by y3 + x22 + r sin r…

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Q: How many man hours are required to load a freight car with 40 tons of product packaged in 100-lbs…

A: Total load=40 tons 1 ton in US=2,000lbs 40 tons=80,000lbs

Q: 2) Find the parametric and symmetric equations for the line through (1, –1, 1) and parallel to the…

A: Solved below

Q: What is area of a triangle is 1/2 square feet. base is 3/5 feet . What is the length of the base?

A: A = (base)(height)/2 1/2 = (3/5)(height)/2 height = 5/3 feet

Q: Write the equation of a sine or cosine function to describe the graph. Ty 3 3 3 3 -1+ -2+

A: topic- trigonometric functions

Q: Linear equation of order one: dy-(x' -2xy kdx =0 Integrating factors fouund by inspection.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Use the given information to sketch the graph of f. Choose the correct graph below. Domain: All real…

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Q: Given f''(x) 16 sin(4x) and f'(0) = 3 and f(0) = 5. - Find f

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Q: a. Intermediate-Value Theorem from Intermediate-Zero Theorem? D. Right-Hand Continuity from…

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Q: The 3rd term of an arithmetic series is 34 and the 17th term is –8. Find the sum of the first 20…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Evaluate the following limit: x1-14-V2 lim,-2 r-16

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Q: Find T(t) and N(t) at the given point. r(t) = (t² – 8)i + tj; t = 8 T(8): N(8) =

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Q: b) Find the exact area of the region enclosed by the curve y = x² – 3x, the x-axis and the vertical…

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Q: Two functions g(x) and h(x) have derivatives g'(x)=2x2-10x+8 and h'(x)=6x-16. The graphs of g'(x)…

A: Given problem:- Two functions g(x) and h(x) have derivatives g'(x)=2x^ 2 -10x+8 and h'(x)=6x-16  To…

Q: (1-2=) dr

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

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Q: Consider a triangle ABC like the one below. Suppose that a=31, b= 68, and c=51. (The figure is not…

A: To solve the following problem to find the angles

Q: Find the directional derivative of f(x, y) 12x at P(4,0) in the x + y direction of Q(1,–1). NOTE:…

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Q: For the following sequence solve A to C , explain all questions. an= 1/5+3^n A. What’s the limit? B.…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j NOTE: Enter the exact…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 u. (v x w)| to determine…

A: The given vertices P-2,3,0, Q2,1,-3, R1,0,1 and S3,-2,3

Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: (a) Find an equation of the tangent line to the curve y 14x sin(x) at the point (x/2, 7n). y = (b)…

A: a) y=14xsin(x)Differentiatey'=14sin(x)+14xcosxSubstitute x=π2y'=14sinπ2+14π2cosπ2y'=14+0y'=14Slope…

Q: dx Ve4x – 49

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Q: Evaluate the definite integral by choosing the appropriate substitution. You must show your work. 8T…

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Q: Find the critical points of the function 2 8 f(x) = 11/4 11 Use a comma to separate multiple…

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Q: . Determination of integrating factors: 2y(x+y+2)dx+(y² – x² –4x –1)dy = 0 %3D

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

A: Given;  The line through (8,6) that is parallel to -4i+3j.

Q: rative: y = (V3x – 5)(3x2 - 7). %3D

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Q: { 3x-5, Зх-8, if x 2 limit of f(x) exists.

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Q: (b) x = 5+ 7ty = - 3+ 10t, z = 6 – 4t O (x, y, z) = (5, 3, 6) + t(7, 10, 4) ai + bj + ck = (5i + 3j…

A: Given that x=5+7t ,y=-3+10t ,z=6-4tcertisian…

Q: The total revenue and total cost functions for manufacturing Items are: TR(q)=-5q²+80q and…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: The context you find yourself in is that you have been given 24 meters of fencing material. You must…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…