Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. . x = 6 cos(t), y = 6 sin(t), z 2 cos(2t), (3√3, 3, 1)

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

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Q: Figure is not drawn to scale. 4 m 6 m 3 m What is the surface area of the box? (Note: Don't enter…

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Q: 51-52 Find an equation of the tangent line to the curve at the given point. 51. y = e* cos x + sin…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Solve for the complete solution of the differential equation: y" + 4y + 5 = 0; y(0) = — 2, y'(0) =…

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Q: Match the equation with its graph. x² + 2z² = 1 X* x.

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Q: (e) Finally, consider f along rays emanating from the origin. Note that these are given by y = mx,…

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Q: B SOLUE 1. CIRCLE FOR WITH THE DIFFERENTIAL FIXED RADIUS EQUATION OF TANGEANT THE GIVEN FAMILY OF TO…

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Q: Finding the critical point(s) of f(x) on the given internal. f(x)=(2^x)sin(x) on [-2,6]

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Q: A company that sells calculators has determined that the revenue generated by selling x calculators…

A: Given, A company that sells calculators has determined that the revenue generated by selling x…

Q: Using the appropriate theorems, explain why the function is continuous at every number in its…

A: Given function, f(x)=2x2-x-2x2+4 Function is undefine if x2+4=0x2=-4x2=4i2x=±2i∉R

Q: the function y = x(x 6)².

A: To find the critical points for the given function

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.)…

A: The given integral is sqrt(5+1/x)/x2.

Q: Maximize the value of the function A=4xy subject to x + 4y = 48. DO NOT answer any of the following…

A: Answer and explanation is given below...

Q: Show that xzxx + yZxy = y²Zyy if z = xy + yln(xy)

A: Given, z=xy+y ln(xy)

Q: The absolute maximum value is (Use a comma to separate answers at x = as needed.) The absolute…

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Q: = (1) cotr 1+csc.x

A: We will find the required.

Q: 1. Pirkko wants to invest 9 000 euros so that after 8 years she will have 14 000 euros. What is the…

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Q: Find the solution of the differential equation y(t) = = 1 t sec y = 6 cos t { x + + + ² ( 1 ) x - *…

A: The given differential equation is  y'+1/5sec(t/5) y= 6cos(t/5) , y(0) = 1  where 0<t/5<

Q: 3x Solve for the complete solution of the differential equation: y" — 6y' + 9y = e³x Inx. What is…

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Q: Find y' if y = x²cosx A. 2x cos x + x² sin x B. 2x sinx-x² cos x C. 2x cos x - x² sin x D. 2x sinx +…

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Q: 2 1. Find y' of tan(x²y4) = 3x + y²

A: The given differential equation is tan(x2y4)=3x+y2

Q: Use an appropriate table of values to find lim h->0 b^h-1/h where b = 48, accurate to four…

A: The given limit limh→0bh-1h We need to find the limit for b=48

Q: dz dt 2 Find where z = 3x²y3³, x = t4 and y = t²

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Q: Sketch the region bounded by the paraboloids z = x² + y² and z= 32-x² - y².

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Q: Find fogo h. Chec fogoh = f(x) = 9x - 2 g(x) = sin x h(x) = x²

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

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: We can find the limit .

Q: If an IRA is a variable-rate investment for 15 years at rate r percent per year, compounded monthly,…

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Q: 4. X x - 2 > x; in the form of intervals

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

Q: Use the tabular method and the properties of limit to find the limit lim x-1 2x + 2-x 3

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Q: Minimize the function M = 3x² + 3y² subject to 2x + y = 16 and find the values of x and y at which M…

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Q: Solve for the complete solution of the differential equa y" − 6y' + 9y = 0; y(0) = − 1, y'(0) = 2.…

A: Topic:- differential equations

Q: x², and x = y³ (x) ≥ (0)| y = x

A: Given data:- The given equations are, y=x2x=y3 Where, x≥0

Q: 4. Find the solution of the DE: (3x² + 6xy²)dx + (6x²y + 4y³)dy = 0.

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Q: -2 1 1 -1 -3 1 -2 are operations R2 = -2R1 + R2 and R3 = 3R1 + R3 used to convert the 2 and 3 in the…

A: We can find two row operations.

Q: In the above graph of y = f( x ), find the slope of the secant line through the points (-2, f( -2))…

A: We need to find slope of secant line.

Q: Kindly exhibit that xzxx+yzxy=y2zyy if z=xy+yln(xy)

A: The given data is: z=xy+ylnxy To prove: xzxx+yzxy=y2zyy

Q: Question 1: Let f be a function and let h be a non-zero real number. Then the derivative (when it…

A: We have to tell true or false Answer (1)

Q: 8 x²+2 2 √x dx

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Q: A. g(x) is increasing at x = -7 3. g(x) has a relative minimum at x = -7 C. g(x) is decreasing at x…

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Q: 2)Find an equation of the circle whose center lies in the second quadrant, that has radius 2, and…

A: We know that in second quadrant x-co ordinate is negative and Y- co-ordinate is positive. Required…

Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(−2, 1, 0), Q(4, 2, 4),…

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Q: Element X has a half-life of 10 days. If we currently have a 25 ounce sample of Element X, how long…

A: NOTE: Refresh your page if you can't see any equations. . the half-life of the element X is p=10…

Q: Given f(x, y, z) = x²y³z − 3xy²z³ + 5x²z − y³z, find fxyz

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Q: A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 21 cosh 5 11 -…

A: I have to answer two parts in this question.

Q: Suppose that functions f and g and their derivatives with respect to x have the values shown to the…

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Q: Expand log₂ 64a4 b6c4

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Q: Solved the following set of equations 16x + 2y 2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

A: Given: 16x+2y-2z=16 2x-14y+4z=-8 4x+2y+18x=4

Q: Find the derivative of the function using the definition of derivative. F'(v) = F(v) = V V + 3 3…

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Q: 1. Determine the domain and range of f(x) = 5

A: The domain of the polynomial function, fx=a0+a1x+a2x2+....+anxn is always a real number. Where n∈N…

Q: 21. f(t) = 4t 10

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