Evaluate cos¹3xdx. a. 0.245 b. 0.267 O b O d c. 0.229 27 d. 0.196 e. none of the choices

Q: a. The line through the point P(3,-4,-1) parallel to the vector i+j+k. b. The line through P(1,2,-1)…

A: a) Here, the given vector is: v=i+j+k=<1,1,1> And, to find the line equation which passes…

Q: Consider the function f(x) = (3x² − 4)(x² + 6). (a) Compute the derivative of f(x) by multiplying…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 2. If ū=-27 +57-3k, then || is

A: We will find the value of u→ in the following step.

Q: 2. Show that the function. 5x²³²Bin 12 F(x)= โ x2 0 (x=0) is not of bounded variation on [1,1].…

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Q: e. The line through (1,1,1) parallel to the z-axis. f. The line through (2,4,5) perpendicular to the…

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Q: Compute each of the following limits. (a) (i) lim 7x²5 x→-1 x²-25 (ii) lim X-5 x+5 (iii) lim x+2 x-2…

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Q: Let f(x) = { x - 2 7x 38 Find the following limits. lim f(x) = x→6- lim f(x) = = x→6+ lim f(x) = x-6…

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

Q: Evaluate the iterated integral. 2 *4z [In(x) f Jo xe Y dy dx dz

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Q: In the process of calculating the inverse LaPlace of the function: F(s) = -29- arctan (²³3) you…

A: Given

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Q: Make a conjecture about the derivative by calculating the first few derivatives and observing the…

A: Given :d61dx61sinx

Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y=2rsinė

A: this is a problem of differential. Based on the general formula and concepts we will answer the…

Q: Describe the transformation that can be applied to the parent function g(x) = e to obtain the graph…

A: Explanation of the answer is as follows

Q: 3) Find equations for the lines: a. The line through the point P(3,-4,-1) parallel to the vector…

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: 1 : In ( + 3) and g(x) = ₂ ² 9 ₁ x-9 Let f(x) = In

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Q: Solve the given differential equations: 1. dy x3 dx 2+y²

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Q: six 3x sin B. Sin³ x + sinx+c Csix 3 x sinx D.six x + A B C

A: We will solve the problem

Q: Find the differential equation such that y(x) = c₁(x-4)³ + c₂ln(x-4) (x-4)² 64x²d²y + 2 +60x+y=0 dx²…

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Q: 8. Find the length of the curve r(t) = from t = 1 tot = 5. 9. Find the curvature of the curve r(t)…

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Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the…

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Q: B5. Find the integrating factor by inspection then solve.  y(2xy + 1)dx - xdy = 0

A: find out the integrating factor by inspection and then solve the differential equation.

Q: Finding Coterminal Angles In Exercises 25-28, determine two coterminal angles in radian measure (one…

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Q: consider the function f, such that f and f' are continuous for t ≥ 0 defined by: (27t-28 0<t<2 f(t)=…

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Q: consider the function f, such that f and f are continuous for t > 0 defined by: 0<t<7 f(t)= -68t…

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Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

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Q: hand-tossed pizza base starts off as a ball of dough with a volume of 400π cm3 . First, the cook…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the given…

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Q: Find lim h-0 f(8+h)-f(8) h if f(x)=x² +9.

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Q: X xy of fr [²2/1/ ex None of the choices. The value of a. b. 0.07 c. 0.08 d. 0.05 0.06 e. dy dx is…

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Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

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Q: Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x = 3. / f(x) = x² - 7x +…

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Q: Evaluate /1-(y-1)² by first changing it to polar coordinates. 219 dx dy

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Q: A 40-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: Use the graph of h(x) shown below to evaluate limh(x), if possible. If the limit does not exist,…

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Q: Population Growth A major corporation is building a 4,325-acre complex of homes, offices, stores,…

A: we will differentiate p(t) with respect to t to find p'(t)

Q: Determine the center and radius of a circle given that its equation is (x + 10)² + (y − 4)² = 4 Use…

A: Explanation of the answer is as follows

Q: D Question 15 Find the value of b such that the function f(x) is continuous everywhere. x² + a if x…

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: derivative. (a) lim (b) lim Ax→0 In(e¹ + Ax) - 4 Ax In w w 1 w 1 =

A: Using L hospital rule

Q: Given f(x) = 1 x - 2 and g(x) = = 4 x + 3 find the domain of f(g(x)) "

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Q: Hand written plz 9. Find inverse Laplace: es S

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Q: Evaluate the iterated integral by converting to polar coordinates. 2 *√2x - x² 6²6² 4√ x² + y² dy dx…

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Q: Evaluate [(cos² 0 + 2 csc² 0 + sin²0) do. (a) 0 + 2 cot 0 +C (b) 0 2 cot 0 + C - (c) sin²0 + 2 cot 0…

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Q: kx 4+x² If k 1, evaluate k (a) 2 kx (b) 2 J₁ arctan (2x) + C arctan (2x) + C dx. (c) // ln(x² + 4) +…

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

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Q: The position function of a particle is given, in metres, as s(t)=t 4-10t 3+36t 2+10t+12 where t ≥0…

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Q: Evaluate the following integrals using FTC. Show solution

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Q: Find the limit. Enter the exact answer. If the limit does not exist, indicate that using the check…

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