Let f(t) = Arcsin(t) and g(x, y) = √/1-x² - y². Find h(x, y) if h = fog. Also, find the domain and range of h.

Q: Let f be a differentiable function such that f(4) = 7 and f' (4) = . The graph of f is concave up on…

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Q: 85. The results of a political poll indicate that the leading candidate will receive 51% of the…

A: Given: The leading candidate will receive 51% of the votes with a margin of error of no more than…

Q: Calculate the derivative of the function. f'(x)= f(x) = 5x + x²

A: The given function is; f(x)= sqrt(5x+x2).

Q: If (2, 2) is a point on the graph of f(x), which ordered pair must also be on the graph of y =…

A: Given query is to find the point after transformation.

Q: 2. Find the general equation of the circle passing through (1,1), (−2,3) and (3,4).

A: Solution

Q: On part b does it say north west? Or north east?

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Q: Given the price-demand and price-supply equations below, determine the equilibrium quantity. D(x) =…

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Q: Answer using heavyside function

A: NOTE: Refresh your page if you can't see any equations. . take the inverse Laplace

Q: Could you kindly hand write this out?

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Q: a. Find V16. V4. b. Find V16.4. c. Based on your answers to parts (a) and (b), what can you…

A: Given: a).16·4 b).16·4

Q: Business The monthly revenue R achieved by selling xwristwatches is figured to be R1x2 = 75x - 0.2x2…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 4 34 feet long ladder ladder is leaning is leaning against a vertical wall at a rate of 8 feet per…

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Q: Which of the following is NOT an exact equation? A. ¹ В. У C. (2x sin y + y)dx + (x² cos y + x)dy =…

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Q: What is the rate of change of the area of a square (A=s²) with respect to the side length when the…

A: Given query is to find the rate of change of area.

Q: Give the order of the given ordinary differential equation and state the type linear or nonlinear (1…

A: The order of a differential equation is the highest order of the derivative it contains. Degree of a…

Q: A minivan with a gross weight of 5600 pounds is parked on a street with a slope of 5°. Find the…

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Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 14(860) +…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is where F=fine in…

Q: QUESTION 9 Find the equation of the tangent line of y=x² at the point (1,1) Oy=-2x+1 O y-2=--(x-1)…

A: To find the equation of tangent line.

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

A: Given:- 2x+3y'=y+2x+31/2

Q: If 2x² + 3x + xy = 4 and y(4) = 10, find y'(4) by implicit differentiation.

A: Here,              We have given a function now we have to find out y'(4) by doing implicit…

Q: Given that f(x) = x² - 9x and g(x) = x + 5, find: a) (fog)(3)= b) (gof)(3)=

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Q: Evaluate each of the following expressions using a method of your choice. a. b. = log3a 27a³ logab…

A: a) log3a27a3

Q: g(t) 1 √t

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Q: Consider a closed rectangular box with a square base with side x and height y. a. Find an equation…

A: As we know that; The expression for the area of the square is: A=a2 Where a is the side length of…

Q: 9 Which of the following functions are solutions of the differential equation dy 2y + x¹ dx xy³ (a)…

A: We can solve this as follows:

Q: Given that f(x) = = x² 13x and g(x)= x + 12, find: a) (f + g)(-1) b) (fg) (-1) = c) (fg)(-1) = d)…

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Q: Find y" by implicit differentiation. 4x² + y² = 2

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Q: If b + 0, then b

A: Given: If b ≠ 0, To find: then b0 = ?

Q: Simplify completely. Write your answer using positive exponents only. Assume variables represent…

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Q: As of January 2016, the population of the United States was approximately 322 million. Express the…

A: Given: The population of the United States was approximately = 322 million.

Q: Integrate by part S 1 xe-2x dx

A: we can solve the given integral.

Q: Find the domain and range of the relation below. -6 -5 O Domain: Range: -3 -2 -1 6 5 4 3 2 B -10 -2-…

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Q: QUESTION 3 Find: lim XX x2 √√√x²+1

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Q: Use the Product Rule to find the derivative of the given function. Simplify your result. b. Find the…

A: Given data:- The given equation is, y=t2+7t3t-4

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

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Q: 3. Given the lines l₁: *-1 = 2y = 2+1 5 2 -3 and l₂: x=2==y-1 a) Determine if l₁ and ₂ are parallel,…

A: Given lines are l1: x-15=2-y2=z+1-3   and l2:  x-21=-y-13=z+32

Q: 4. Find an equation of the plane containing the line (x-3) = -(y + 5) = -(z + 2) and the point (5,…

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Q: Solve the following differential equations. Question 6 ( 3x – 1 ) y’ = 6y - 10(3x – 1)1/3

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Q: Consider the following. The ellipsoid 9x² + 2y2 + z² = 98 intersects the plane y = 2 in an ellipse.…

A: Here, the given equation of ellipsoid is: 9x2+2y2+z2=98...(1) which intersects the plane y=2 in an…

Q: 2x4 - 1.2²² 7x If F(x) = In (t² + 4) dt, what is F'(x)?

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Q: 4. Find the area bounded by the lemniscate of Bernoulli r² = cos 20 if Limit are 45 degree and 90…

A: See the details solution in below

Q: blem List Next st equation for gizmos is Cost(q) = (1041 +8 * q) and the demand function is price(q)…

A: We have given cost function and price function as  C(q) = 1041+8q and p(q) = 495-5q  Find maximum…

Q: Problem 6. Construct the quadratic whose roots are 3+, 3-.

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Q: For Exercises 12–15, simplify completely. Write the answers with positive exponents only. 12. a. 9°…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root…

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Q: Use Figure to find the probability that the pointer will stop on an odd number or a number less than…

A: Given data:-

Q: f(x) = x/(5x-1)2 f '(0) = _________

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Q: Find the 20th derivative of y = cos(2x).

A: y=cos(2x)

Q: Julie places a continuous stream of $5,000 per year into a savings account which has a continuously…

A: As per the data given in the questionPeriodic payment=$5000Annual continuous compounding…

Q: For Exercises 109–111, (a) evaluate the discriminant and (b) determine the number and type of…

A: The discriminant of a quadratic equation is used to find the number and nature of the roots. It is…