dx² +4x-5 X

Q: The top and bottom margins of a poster are 8 cm and the side margins are each 2 cm. If the area of…

A: Let the width of the printed area= xAnd the height of the printed area=y Area of the printed…

Q: 61. The temperature in a controlled lamina is modeled by T(x, y) = 50+x+3y. If an ant walks on the…

A: The temperature in a controlled lamina is modeled by:-Ant walks on the path:- Now, we convert the…

Q: Assume the given point is on the terminal side of an angle in standard position. The value of tan8…

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Q: Suppose the second derivative of f is given by f'(x) = 15x4(x + 7)5(x² + 36). Determine the…

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Q: Type the equation of the given graph in the form y = A sin Bx or y = A cos Bx.

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Q: Derive using the long method. x² - 5 2x4 x =

A: The given equation is ;

Q: 1. The equation r²y³ +2ln(yz) + ye" - 1 determines a surface. Note that you cannot easily write z as…

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Q: Suppose f(x) = 9" log5 (x). Find: ƒ'(x) = Note: Enter In(a) In(b) for log(a).

A: Givenf(x) = 9x log5(x)

Q: Suppose dy x-1 dx x²–2x+3) What is y(2)? O 6.614 O 4.307 O 4.203 O 3.712 = and y(1) = 4.

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Q: Solve for the specified value of the following right triangle. Round your answer to the nearest…

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Q: Consider the function y = (10x + 6)² (4x + 4) ³. Take the natural logarithm of both sides of the…

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Q: valuate the line integral, where C is the given space curve. Ic (x² + y² + z²) ds, C: x = t, y =…

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Q: (b) Find the points in which the required line in part (a) intersects the coordinate planes.

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Q: ∞ n=1 H 2n

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Q: Describe the given region in polar coordinates. C The lower portion of the region is sessrs. The…

A: Diagram To find the polar coordinates

Q: A ball is thrown upward from the ground with an initial velocity of 64ft/s. If the position function…

A: The position function is given by

Q: x X A rancher has 2700 feet of fencing with which to construct adjacent, equally sized rectangular…

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Q: A small radio transmitter broadcasts in a 68 mile radius. If you drive along a straight line from a…

A: A small radio transmitter broadcasts in a 68 miles radius. You drive along a straight line from a…

Q: 1. Find the point of intersection of the three planes using algebraic equation. x-3y-2z=-9…

A: We have to find the point of intersection of three planes. First we will find the augmented matrix…

Q: Given f(2)=40, f'(2) = 3, and f"(x) = 0 for x ≥ 2, which one of the following statements about f(10)…

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Q: Use the differential dA to estimate the change in surface area of a cube when the side length…

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Q: Find d when = y = log(a) log(x) - 1

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Q: A larae tank is filled to capacitv with 700 gallons of pure water. Brine containing 3 pounds of salt…

A: A large tank is filled to capacity with 700 gallons of pure water.Brine containing 3 pounds of salt…

Q: lim tan-¹(e* + ln x) x→0+

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Q: Differentiate f'(q) = = f(q) the following function. = 3 q 6 있어

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Q: 12-Determine the equation of any asymptote and coordinate of holes for F(x)= -12x^3 +44x^2 -32x -16…

A: The function is

Q: If cose= and tan 8<0, find cot 8. O √5 0 20 O 2√5 5 2√5 5

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Q: Evaluate the limit. You should show your work for this problem. Enter INF for ∞, -INF for -∞, or DNE…

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Q: дz дz 45. Find and Әх ду at (-1, 1, -1): yey-x² +z² = -3z-y²³

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Q: Find the value(s) of x such that the angle between the vectors (2, 1,-1) and (1, x, 0) is π/4.

A: To find the value(s) of  such that the angle between the vectors  and  is .

Q: 1. A firm produces Q = f(L) units of a commodity using L units of labour. Assume ƒ'(L) > 0 and f"…

A: As per company guidelines for multiple question posted we are supposed to solve only one question at…

Q: f(x) = sec³ (5x4 - 18x²)

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Q: ƒ(x) = x + 3 x²+1 x if x 1

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Q: 8) A runner was training for a 21 mile long race. The distance D (in miles) in function of time t…

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Q: Convert the line integral to an ordinary integral with respect to the parameter and evaluate it.…

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Q: Answer letter I only using indefinite integrals.

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Q: Find the volume V of the solid below the paraboloid z=8-x² - y² and above the following region. R=…

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Q: please evaluate the integral also

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Q: Use the two-path test to prove that the following limit does not exist. y²-2x² lim (x,y)-(0,0) y +…

A: The given limit is .We have to prove that the limit does not exits.

Q: Consider the following. u=i+j+k v = 2i + j - k Find u x v. Determine if u x v is orthogonal to both…

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Q: The graphs of the functions f and g are shown below. If h(x) = f(x) g(a), find h' (5). 7 6 5 Y 3- 2…

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Q: Sketch the graph by hand using asymptotes and intercepts, but not derivatives. Then use your sketch…

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Q: Current Attempt in Progress Use Lagrange multipliers to find the maximum or minimum value of f(x, y)…

A: Use Lagrange multipliers to find the maximum or minimum value off(x, y) = x2 + 18y2 + 100subject to…

Q: 43. Find the first partial derivatives f(x, t) et sin (7x)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: A 25 ft ladder leans against the side of a building and the angle between the ladder and the…

A: Given that     A 25 ft ladder leans against the side of a building and the angle between the ladder…

Q: Evaluate the following using exact degree measure. Show all of your work. O 150° 30° O 120° 60° CSCT…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

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Q: Evaluate the triple integral. JI 7 sin(y) dV, where E lies below the plane z = x and above the…

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Q: Consider the function f(x) = 3x5 - 50x4 + 250x³ + 19x - 32.

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Q: 9 8 7 6 5 4 3 2 + 2 3 -4- -5 -6 -7 -8- 9- -10+ 2 The graph shows y = h(z), and we define g(x) =…

A: Here we will solve the first part according to answering guidelines.Here we have given a function…