Determine the remaining sides and angles of the triangle ABC. A 140° 40', C = 20° 20', AB = 3

Q: Find the total differential. z = 10x4y5 dz = (No Response)

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Q: 2. A right circular cylindrical container with volume 167 cm³ is to be made. Use the method of…

A: According to question,Volume of cylinder = 16π cm3

Q: 11. The derivative of a sinusoidal function is another sinusoidal function. 12. The rate of change…

A: In this question we have state whether the statement is True or False.

Q: Find the directional derivative of the function at P in the direction of v. f(x, y) = P(4, 5), v =…

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Q: x 5. r(x, y) = ln (x + y)

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Q: (a) Find the series' radius and interval of convergence. For what values of x does the series…

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Q: Given the functions f(x)= x^2 -2x+1 and g(x) =5x-4 determine:       (a) g(4) -g(3).   (b) f{g(2)}

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Q: Find the domain of the following rational function. 20x² H(x)= + X O A. x² +2 Select the correct…

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Q: trigonometric substitution 2 X (9-x² -dx

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Q: Use logarithmic differentiation to find dy/dx. dx = y = x²16 x² + 16 Need Help? Read It X > 4 Watch…

A: Solve the following

Q: If 0 = sin(0) = 1 3 cos(0) = .π₂ then Enter exact values. No decimals allowed!

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Q: f(g(x)).

A: f(g(x)) = 25/x2  provided the answer in step2 with solution

Q: The velocity of a particle moving along a line is a function of time given by v(t) = = the distance…

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Q: Find the equation of the tangent line to the graph of the function f(x): = x+7 x-8 at the point (0,…

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Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

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Q: Find the differential dy of the given function. y = √3-x² dy X 3 - x Submit Answer =dx 2

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Q: 10. Prove: cos²(x)-sin²(x) =sin² (x) 1-tan²(x)

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Q: Describe the motion of a particle with position (x, y) as t varies in the given interval. (For each…

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Q: The piecewise function /(x) is graphed below. Use geometric formulas to evaluate the following…

A: First we find f(x) , Here in interval -7≤x≤-1 f(x) is semi circle, whose center is at (-4,0) and…

Q: Find the total differential. w = eбy cos(4x) + z7 dw (No Response)

A: Explanation of the answer is as follows

Q: . A rectangular pen is built with one side against a barn. If 2300 m of fencing are used for the…

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Q: It has been determined that the cost of producing x units of a certain item is 10x + 365. The demand…

A: topic - functions

Q: 5. For y = -ln(x), find the value of x where the slope is a) x = − 6 b) -In(6) d) Does Not Exist

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Q: 1.6 Suppose that For each function h given below, find a formula for h(x) and the domain of h Note:…

A: The solution is given below

Q: A packet of gummy candy contains four strawberry gums, two lime gums, two black currant gums, and…

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

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Q: Consider the following table of values of the functions f and g and their derivatives at various…

A: Aim: Dxf(g(2)) We know that,…

Q: Solve the differential equation. df ds 85+9 (45²+95 +2)²

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Q: Find the x-coordinate of the centroid of the area bounded by y(x² - 9) = 1, y = 0, x = (Round the…

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Q: Find the solution of the given initial value problem. y(4) – 6y"" +9y” – 0; P y(1) = 9+e³, y'(1) =…

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Q: 4. -π/4 1 9cos² x-sin²x dx

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Q: If 0 = sec (0) csc(0) = - = tan(0) cot (0) = = 7 -T, enter exact values for each function. 4 7000

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Q: Give some examples atleast three where basic comparison test fails . Also investigate convergence of…

A: Given : we will given the three example where the basic camparison test fails.

Q: Find the Consumer's Surplus corresponding to q=900 units. (Do no rounding of results until the very…

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ..)…

A: topic - sequence and series

Q: 12. Determine the radius and interval of convergence of 8 k=1 (-1)kk²(x-4) k 3k

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Q: Let f(x) = 3x² + 2x − 10; a = 1. 1. Use the definition to find the derivative function f' 2. Find an…

A: The given function is: f(x)=3x2+2x-10

Q: Q2: Find the surface area generated by rotating for y = x² - ln(x) for x = [1, 2] about the y-axis.

A: We need to find Surface area.

Q: What value(s) of 8 are an appropriate choice when proving the following limit? lim (x² - 37) = -1…

A: This is a problem related to limit calculation. Based on epsilon-delta limit we will answer.

Q: 5. Evaluate 8y Lo Lo (28+ 12 drdy (x³ 2y by reversing the order of integration.

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Q: (d) tan¹(x)dr

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Q: Find d²y/dx² implicitly in terms of x and y. 4xy 5 cos(x) = -9 d²y dx² || X

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Q: a B sin(A) = cos (A) = Note: Triangle may not be drawn to scale. Suppose a = 9 and b = 2. Find an…

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Q: Evaluate the integral: 3 X sin ³ COS 3 3 X col 3

A: Solved below.

Q: a. Which of the following are functions? Justify your answer. f(x) 5+ 4- 3- -4-3-2-1 O -2- -3+ -4-…

A: Let's find function or not.

Q: uestion 3 Find f(x+h)-f(x) given the following function. Answer f(x+h)-f(x) = | کے f(x) = 8x² + 5x

A: The solution is given below

Q: Use the formula for the cosine of the difference of two angl- COS COS T T 4 6 T T - = 4 6 (Type an…

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Q: Without using a calculator, enter the sine and cosine of 240° using the reference angle. Decimals…

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Q: Write its sum as the ratio of two integers. Step 1 In Part (a) we wrote the repeating decimal 0.5 as…

A: The solution is given below

Q: The graph of y=f(x) is given. Solve the inequalities. Write the solution set in interval notation if…

A: Consider the graph of the function