Algebraically determine the limit: a) lim tan(x) 7m H4 (Hint for part b. Consider the quadrant and pay attention to the sign of your answer.) b) lim cos(x) H→ 7m 6

Q: Given the vectors p = [-2,3,5] and a = [4,-1,4], find a) p.a b) the angle between p and a c) the…

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Q: Lim (x->infinity) (Sqrt (9x^4 + 6))/(4+3x-x^2))

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Q: Without using a calculator, find all the solutions of tan(t) = 0 where - < t ≤ π.

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Q: Simplify. 84 x 86 O a) 1 Ob) 8³ O c) 8¹4 O d) 834

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Q: i) Use the substitution v to find the general solution to dy xy = dr x² + 6y².

A: Note: As per our company guidelines we are supposed to answer the first question only as they as…

Q: Determine the values of p for which the integral (x-4) s improper (A) p1 (p=0 (D) p=1

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Q: The cross product is neither nor. The dot product is not 01. Commutative 2. Associative 3.…

A: We know that , 1) cross product of two vectors are not commutative , That is u×v≠v×u 2) cross…

Q: Suppose u = (1, −5, −1), v = (-2,-1, -3) and (1, –4, 4). Then: W = U • V= u • w= v • W= v • v= u •…

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Q: 6. Show that there are no tangents to the graph of 5+2 that have a negative slope. .

A: Given function:- y=5x+2x+2

Q: The cross product is neither nor. The dot product is not 01. Commutative 2. Associative 3.…

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Q: Use the graph of f(x) = below to find a number & such that f(z)-0.5 = Number 1 0.7 0.5 0.3 O 2 X

A: Given graph :-

Q: Ifq (x) = log5 (6x³+4x²), find q' (x). O log5 (18x2 + 18) 18x² + 8x (In (5)) (6x³+4x²) O O 18x² + 8x…

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Q: Fill in the blank with “all”, “no”, or “some” to make the following statements true. ˆIf your answer…

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Q: 1 If f(x) = -2x2² +8x-4, find the following value. f(5)-f(-7) 5-(-7) Give answer as an integer or…

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Q: Two unit vectors magnitude of 3 O√7 07 O√2 O√6 and , make an angle of 60 degrees with each other.…

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Q: 1. Karen is a hobby farmer from near Toowoomba in Southern Queens- land. She sells the lettuce she…

A: Topic- Functions and application of derivatives

Q: A rectangular box has length 11 inches, width 20 inches, and a height of 7 inches. Find the angle…

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Q: Consider the function f(x)=√x and the point P(4, 2) on the graph f. (a) Graph fand the secant lines…

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Q: unction f is defined as follows. -3x+5 if x < 1 4x-2 if x21 nd the domain of the function. ocate any…

A: Topic:- calculus

Q: Write as a radical expression. 4 3) 3²21, 2017 3 X

A: Given that :        31/2.x4/3 and we write as a radical expression.     Here i attached the solution…

Q: Find the limit as x approaches -6 for the function f(x) = 5x + 12. lim (5x+12)= X→-6 (Simplify your…

A: Topic- limits

Q: Let f(x) = 6.3x² - 2.4x. Find the equation of the secant line on the graph of f(x) between *₁ = 3…

A: We can find the answer in the following steps.

Q: 4 pln(4/3) et dt S In(3/4) (1+e²t)3/2

A: Given data:- The given integral ∫ln34ln43 etdt1+e2t

Q: ng on 23 March 2012. $ Receipts 21.096 10.814 Days 21 35 49 63 77 91 105 119 4.505 2.311 1.072 0.624…

A: Topic:- rate of change

Q: Consider the function f(x)=x²- 5x. Compute the derivative using the definition f(x+h)-f(x) h by…

A: To find the derivative f'(x)

Q: Find the average rate of change of the function over the given intervals h(t) = cott a. b. π 3π 4' 4…

A: Given function f(t)= cot twe know that Average rate of change of function y=f(x) over the interval…

Q: 1. A radioactive substance with an initial mass of 5kg has a half-life of 30 months. a) Write an…

A: Answer is in next step!

Q: 2y-5x=0 3y+4x=0

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Q: Find the derivative of the function. f(x) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: The following table represents Canada's population in specific years over the last century. Year…

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Q: A spring, whose equilibrium length is 3 ft, extends to a length of 6 ft when a force of 13 lb is…

A: Given data÷ Equilibrium length = L0=3ft Extended length  = L1=6ft Force = F=13lb Work = w=8ft.lb

Q: How do I find limits based on a graph?

A: Topic:- application of calculus

Q: 6. Determine the number of roots, counting multiplicities, of the equation in the annulus 1 ≤|z|< 2.…

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Q: 4. Use cylindrical shells to find the volume of the solid that is generated when the region that is…

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Q: Complete the table to find the derivative of the function. Original Function 1 5x4 y = Rewrite X…

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Q: Factor the trinomial completely. 4s² - 22s + 10 Select the correct choice below and, if necessary,…

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Q: Determine the average rate of change for the function f(x)=2" on the interval 1≤x≤5. 1024 255 4 512

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Q: Explain why the limit does not exist. X lim X-OX

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Q: Find a vertical line x = k that divides the area enclosed by x = y , x = 2 , and y = 0 into two…

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Q: Determine the average rate of change for the function f(x)=x+3x+4 on the interval 2≤x≤4.

A: Answer is in next step .please give a like!!

Q: Assume 6100 children go to Disneyland today. How much additional revenue will Disneyland receive if…

A: We need to find additional revenue.

Q: Find an algebraic expression equivalent to the given expression. Hint: form a right triangle. cos (2…

A: Topic- inverse trigonometric functions

Q: Match the equations of the surface with the graphs below. A D 1.9x² + 4y² + z2² = 1 2. x² - y² + z²…

A: The equations of the surfaces, 1. 9x2+4y2+z2=12. x2-y2+z2=13. -x2+y2-z2=14. x2+4y2+9z2=1

Q: Find the angle between the vectors a 0 = and b = 2i+j - 4k. 10i - j - 5k

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Q: The table below shows the number of individuals infected with a disease t days after its first…

A: Given that, Days 1 2 3 4 5 6 7 8 Infected Individuals 1068 1723 2723 4393 7914 12408 19824…

Q: Calculate x(t) when k(t) = [t^2t]/[3sqrt(1+t^4)^3/2] r(t) = (6t¹, 1, 6t)

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Q: 2 -2. f(x) = x³ (a) f(3) 3. g(t) = 21²-3t+1 (a) g(2)) 4. h(t) = √t+6-2 (a) h(-6)) (b) f(-2) (b) g(v)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: √√3-1,√3+1,√3 The angle between the vectors √3- +1, √3 and [2, 2, 2] is:

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Q: Find two vectors ₁ and 2 whose sum is (−1, 4, −5), where ₁ is parallel to (2, 1, −2) while №2 is…

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Q: Find the limit of the following functions: -1+√√x-4 1) lim X-5 x-5 2) lim f(x) where f(x) = x-2 x² +…

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