A right triangle has side lengths a, b, and c as shown below. Use these lengths to find tanx, sinx, and cosx. a tan x = sin.x = Cos.x= b

Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three…

A: Find the local maximum and minimum values and saddle point(s) of the function.

Q: Fnd the length of the indicated portion of the curve. r(t)=(t cost)i+(-tsin tj+ (22) Osts The length…

A: Given that a curvehere needs to determine the length of the curvelet,  , then the length of the…

Q: Use implicit differentiation to find y' and then evaluate y' at (6,-5). 6xy+y+185=0 y' = ☐ y' |…

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Q: Pls help me with this word problem thks!

A: The objective of this question is to find the dimensions of the garden that will maximize the…

Q: Use sigma notation to write the sum.

A: Answer is 4Σn=1 = [1-(n/4)2]Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Question 19 Use the figure to find the exact value of the trigonometric function. Find tan 20. 5 13…

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Q: 5 A polar curve is given by r = (3-cos(e)) What angle corresponds to the point on the curve with an…

A: Hence the final answer is : θ≈2.42,3.86 Explanation:To find the angle θ corresponding to the point…

Q: Find the lim ex-y limit or (xy)-> (0,1) 2 cosx-1-y Show that it does not exist. DNES

A: To find the limit .To show that it does not exist.

Q: 2 4-y²² #13 Given S² S√4-y 0 0 (y) ddy (a) Write down inequalities. in xy representing the region R…

A: 4πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Find a rational function f that satisfies all the given properties vertical asymptote at x = 4 and…

A: The objective of this question is to find a rational function that has a vertical asymptote at x = 4…

Q: 2.An MRT train 6m above the ground crosses a street 9 m/s at the instant that a car approaching at a…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Exercise: Solve the equation d³y dx3 +3d²y dx² dx +30 + y = 0

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Q: A continuously-increasing function that is concave down on the interval [1, 5] is r X 1 2.2 3.1 4.4…

A: The Right Riemann sum based on the table for the intervals given is the sum of the areas of…

Q: The current population of a small town is 3163 people. It is believed that town's population is…

A: So,theapproximatepopulationofthetown8yearsfromnowisabout7617people.Explanation:Toapproximatethepopul…

Q: 8) Write the expression -3sinx + 4cosx in the form ksin(x + a) for 0 < a < 2. Round a to three…

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Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 2 you feel…

A: Given that,f(t) be the temperature at time t where you live and at t=2 you feel uncomfortable.

Q: se z = x² sin y, x = 1s² + 1t², y = -6st. the chain rule to find oz and as function: as Əz d the…

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Q: -312-6x+5=-10

A: The given equation

Q: Given the graph of f(x) at the left, determine the following: a. f(6)= b. lim f(x) = x+2 C. lim f(x)…

A: ​a. f(6)=4b. x→2lim​f(x)= DNE c. x→6lim​f(x)=2d. x→2−lim​f(x)=1​Explanation:Step 1:​We have the…

Q: c) 18x-19 2x²-5x-3 dx

A: To evaluate the following integral.

Q: πT Find the length of the curver = 11sece over the interval 0≤0 Round 3 your answer to two decimal…

A: Answer is option C)19.05. Explanation:

Q: Given: x³-3t, y=t²-5 = a) Find the points on the curve where the tangent is horizontal or vertical.…

A: Given: To Find: (a) The points on the curve where the tangent is horizontal or vertical.(b)  in…

Q: Consider the following function: Step 1 of 4: Determine f'(x) and f "(x). 16x) = -1x-4x-8 f(x)

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Q: lim x-0 √x+5-√5-x χ

A: To find:-

Q: 1. Determine if each series is convergent or divergent. If it is convergent, find the sum of the…

A: To determine whether each of the following series is convergent or divergent. If it is convergent,…

Q: Find the interest rate needed for an investment of $4000 to grow to an amount of $8500 in 4 years if…

A: To find the interest rate needed for an investment of $4000 to grow to anamount of $8500 in 4 years…

Q: Find к for the space curve K(t)=☐ (Type an exact answer, using radicals as needed.)

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Q: A) an = 2n+1 B) an = 5n+8n 7n

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Q: For the following functions, determine without a graphing computer/calculator: a) Any…

A: Since you have posted multiple subparts question in this question and as per company guidelines i…

Q: Problem #3: Consider the following function. f(x, y) = x3+18xy-912 (a) Find the critical points of…

A: (a):  (c) (0,0), (6,-6)(b): -324,324(c): (E) Saddle point , Relative minimum Explanation:

Q: #7 Given f(x,y) = x³y-xy-2x. find and classify (min, maxer saddle) all critical points.

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Q: Theorem: Quotient Rule If f(x) = T(x) B(x) is the quotient of differentiable functions, then. f'(x)…

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Q: Find the area of a triangle PQR, where P = (-3, -3, 6), Q = (4, −2, −5), and R = (1,4,5)

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Q: Verify the identity. Show that cos (p+q) cos (p-q) = cotp cotg - 1 cotp cotg+1

A: Need to verify the identity.

Q: Use Stokes' theorem to evaluate te (▼ × F) - dS where F(x, y, z) = −5yzi + 5xzj + 7(x² + y²)zk and S…

A: Given :-and S is the part of the paraboloid  that lies inside the cylinder  oriented upward.Evaluate…

Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = e⁹x + e-x (a) Find the…

A: Given: To Find: (a) To find the intervals on which f is increasing and decreasing.(b) To find the…

Q: Find the exact length of the curve. y = ² ²x³/2, 3 0≤x≤6

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Q: Evaluate the integral 0.8 dx √1 - x² Round to 4 decimal places

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Let a (5, 1, 1) and b = (- 5, 1, 2). Find a × b. x V A

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Q: Solve the given initial-value problem. x²y" + xy' + y = 0, y(1) = 1, y'(1) = 5 y(x) = , X > O Use a…

A: The given differential equation

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (-6, 3, −3), Q = (-5,…

A: The answer is given below.Explanation:

Q: If f(x): f'(x)= f'(1) = = tan x-5 sec x

A:

Q: Consider the parametric equations below. x=t-1, y=t+3, -3sts 3 Eliminate the parameter to find a…

A: Given,

Q: The contour diagram of z=f(x,y) is given below. 10- 16 12 16- -8 16 At the point (-2,-2) in the…

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Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We solve the given problem using the second derivative test.The Second derivative test :Let f(x) be…

Q: Find f'(x). f(x)= 2x 29+ In x

A: F′(x)=(29+lnx)22lnx+56​Explanation:If you have any problem let me know here in comment box for this…

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

A: x = -1, 0, 1y = -1Explanation:Step 1: Write the numerator and denominator of the rational function…

Q: Find a general formula for f("). f(x) = (x+4)-1 (Use symbolic notation and fractions where needed.)

A: Given that the function

Q: 4) Graph one complete period of the function y = 3 tan (2x+)+ 1. Identify the period, phase shift…

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Q: Let  f(x) = e19 − 18x^2. (a) Find the interval(s) where  f(x)  is concave up. (Enter your…

A: The answers are: (a) f(x) is concave up on no intervals, so the answer is None ( ∅ ). (b) f(x) is…