Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

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

Q: O f(3x² + sec² 2x) dx

A: Given query is to find integral.

Q: Convert each pair of rectangular coordinates to polar coordinates where r>0 and 0 ≤ 0 <2. 1) (-3,0)…

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Q: x²y" - 3xy' - 2y = 0

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Q: {CLO-3) Find the area between the curve y=-2x² +6 and the line y=-2x+2

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Q: Find the equation for the tangent plane and the normal line at the point Po(1,1,3) on the surface…

A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.) y=…

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Q: Find the 23rd term of the Arithmetic Progression -7, -3, 1, . . .*

A: 1.  The given arithmetic sequence, -7,-3,1,....... Note:     Multiple questions are given, we are…

Q: 3. Suppose a function H(t) is given and that this function describes the height H of a projectile t…

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Q: (20-0) Given that = 5and 이히 = 3 1 6. Round your answer to one decimal place. = 3 and that (2a ›(à +…

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Q: 0 Convert the following polar equations to Cartesian form and identify its graph. a.) r = 2 (3 cos +…

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Q: HOW DID YOU GET THE ANSWER??

A: Let's find general equation of circle.

Q: Which of the following statements about the graph of f(x) = (2.25) shown above are true? Select all…

A: Given graph of f(x)=(2.25)x

Q: Find the general antiderivative of f(x) = + C - 5x¹ x² +6√x

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 3 ex cos (yz),…

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Q: Find Vf at the given point. f(x,y,z) = x² + y² - 3z² + z lnx, (1,2,3) Vf|(1,2,3)+( = )j + (k…

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Q: Find the equation for (a) the tangent plane and (b) the normal line at the point Po(2,0,2) on the…

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Q: 1- Use the shell method to find the volume of the solids generated by revolving the shaded region…

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Q: 3 Let f(x)=x* — x³. Determine the intervals where the function is - increasing/decreasing and…

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Q: Problem #10] A kite 100 ft above the ground is being blown away from the person holding its string…

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Q: center of the mass of a thin density covering the Constant density 8. by the x-axis and EA Y = 3/2/…

A: We have been given that curve  y =32cosx with -π3 ≤x≤π3                  and   density…

Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² x 10

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Q: A company manufactures two products. The price function for product A is p = 20-x (for 0 ≤ x ≤ 40),…

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Q: 2. Evaluate the integrals. (a) S (b) [9rc (c) J (d) O 1+ e²r 9x cot(x²)dx -do -dx cos sin² 0 +1 -dx…

A: As per the guidelines we can solve 3 parts only

Q: Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians,…

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Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

A: Let the length of a diagonal is = d1=x m So the length of the other diagonal = d2=(x+2) m. Given…

Q: nd the derivative of the function at Po in the direction of A. f(x,y,z) = 5 ex cos (yz), Po(0,0,0),…

A: Given query is to find direction derivative at given point.

Q: c) y sin 53x =

A: Given :y=sin53x

Q: 2 Find the equation for (a) the tangent plane and (b) the normal line at the point P (2,0,2) on the…

A: Given: The surface is 2z-x2=0 and the point is P02, 0, 2

Q: Find the length of the curve for 12x = 4y³ + 3y-¹ where 1 ≤ y ≤ 3 Enter your answer in exact form.…

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Q: find d2y/dx2 at x=2 a. y=x^(2) (\sqrt(x)+2) b. y=3x^(2)-(4)/(\sqrt(x))

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Q: 8 n=1 (−1)n-¹ 3 + 5n

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Q: * Use Cramer's rule to solve the equation X +y +z 2x -y 3x +2y -z ↑ Add file || || || 1 4 -3

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Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: The sum of the lengths of the two diagonals of a parallelogram is 18 m. One diagonal is 2 meters…

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Q: The doubling time of an investment is the amount of time it takes to double in value. If an…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = 2 ex cos (yz),…

A: Topic:- application of derivatives

Q: An airfighter plane is flying west at 5 feet per sec at an altitude of 4000 feet.  The plane is in…

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Q: Find the exact values of inverse trigonometric expressions for Parts a to c in radians. Sketch the…

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Q: Choose one(1) from the following question to be answer. The graph of each rule must reflect on your…

A: A) The given function is f(x)=x33-2x2+12 ................................... (1) from -2 to 7 using…

Q: 9. Find the family of the curve whose slope at any point is V√x + √x and also the member which…

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Q: We Th Fr Sa Su Evaluate the Integral 4x dx e4x +1

A: Solution of given question is written in below steps.

Q: 4- у ду dx 2 ху +x = 0

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Q: 5. Find the limit using any method of choice. x + 2 lim x-2 2x² - x - 10

A: A detailed solution is given below.

Q: answer a and b. Use implicit differentiation to find an equation of the tangent line to the curve at…

A: This question is based on finding tangent line using implicit differentiation.

Q: A hot air balloon rising vertically is tracked by an observer located 3 km from the lift-off point.…

A: topic - trigonometric ratios and application of derivatives

Q: Given cost and price (demand) functions C(q) = 130q+46,300 and p(q) = -2.6q+890, what price should…

A: Given problem:- Given cost and price (demand) functions C(q) = 130q + 46, 300 and p(q) = - 2.6q +…

Q: 5. Find the limit using algebraic techniques. The limit of f(x) = 14 1/13 14 7 x²-49 as x approaches…

A: We have to find out limit

Q: 2. y = 1 (tanh~' 2x)3

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Q: Find the area under of equation x +y = 3, From x = 1 to x = 3.

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