Find an equation for the line tangent to the curve at the point defined by the given value of t 15) x = sin t, y = 9 sin t, t= 3 X Sn

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A: Given query is to find equation ifbthe tangent at given point.

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A: I have stated the used formulas in the solution.

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = x³ - y, P(6,…

A: The given function is: f(x,y)=x3-y3 Now,  ∇f=∂f∂x,∂f∂y=3x2,-3y2∇f(6,5)=(3(6)2,-3(5)2)=(108,-75)

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Q: a) L{te-3t cos 3t}

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Q: Evaluate the integral. sin 4x cos 9x dx |sin 4x cos 9x dx =

A: topic - indefinite integral

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Q: Evaluat each Integral. For definite integrals, give exa Only, S X (2-5x)*dx dt

A: Topic:- definite integration

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Q: Using the graph answer: f(2) g(2)

A: We now that ,in  y=f(x) , x is values in domain and f(x) is the values in co-domain, Therefore here…

Q: he area of the region enclosed by y = 4 – x and y = -x+ 2 , identify the "a" and | "b".

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Q: 3600 The function s(x)= 3600(60 + x)'gives a person's average speed in miles per hour if he or she…

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Q: Student Name:, Score: Press Esc to exit full screen Derivatives of Trigonometric Functions Find the…

A: Answer and explanation is given below...

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A: The given question has been solved in detail.

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Q: Use properties of exponents to write the function in the form f(t) = ka', where k is a constant.…

A: Solving the problem by finding the simplest form of the given expression.

Q: The position of a baseball (in ft) is represented by r(t) = 55/2ti + (4 + 55/2t- 16t2)j. Find the…

A: This is a problem related to vector. Based on the general formula we will answer the question.

Q: Suppose that f is a function given as f(x) = 5x 1. Simplify the expression f(x + h). f(r + h) = f(x…

A: Given query is to find the derivative of the expression.

Q: Evaluate the following. Show your complete solution (Handwritten).

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Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: *Sketch all appropriate regions or solids.* Evaluate the integral by using a Jacobian "…

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Q: Use the table below to fill in the missing values. f(x) 1 1 2 8 3 3 4 9. 4 6 7 7 8 6 9 f(5) || if…

A: Follow next step

Q: 2) Evaluate the following line integral:S. (v + z)dx + (x + z)dy + (x + y)dz where C consists of the…

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Q: Evaluate the definite integral: - 6 e!/I dx

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A: Let's find.

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A: We have to find dy/dx for the given function.

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A: 4x + 5y = 10 x-1/5 = y+1/-4 = z-7 now make x in y form x-1/5 = y+1/-4 -4x +4 = 5y+5 4x =-5y -1 put…

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Q: of 4 Identify the true statements about the matrices 1 0. 3 1 42 2 and B = 1 1 3 1 2 3 4 AB = BA 8…

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Q: oriented

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Q: 3 dx x²+4x+29

A: We have to find value of given Integral.

Q: LIMITS 1. Evaluate the following limits, if they exist. If they do not exist, but approach too,…

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Q: ax+b 3. The curve y = y%3D has a local maximum at (2,1). x2+3 Determine the values of a and b.

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: Here we have to integrate the given Integral.

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A: We have to find value of given Integral.

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Q: 2 3x-x² lim х>-2 \x-х-6. х2 —х-6

A: A detailed solution is given below