Find the area of the region under the graph of the function f on the interval [1, 16]. f(x) = 6 √x square units

Q: 17 Find the value of the hypothenuse, and the value of the third side. X 60⁰

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Q: 23. Σ 24+1 3k-1

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Q: 35. The profit for producing x units of a product is given by P = 2400 - 403.4x +32x² - 0.664x³…

A: The profit for producing x units of a profit is given by…

Q: When using the parallelogram rule to add two rectangular vector components, O all of these answers…

A: As you posted multiple questions I need to solve only first one.

Q: In Exercises 19-22, use the cost function to find the mar- ginal cost for producing x units. 19. C…

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Q: Find the tangent plane to the equation z = 2 = 4x² + y² – 4y at the point (5, 1,97)

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Q: Find an equation of the plane. the plane through the point (7, -2, -6) and parallel to the plane z =…

A: find an equation of the plane through the point ( 7 , -2 , 6) and parallel to the plane z= 3x-4y the…

Q: Find the anti-derivative of the function f(x) = 5x + 3x³

A: The given function is f(x)=5x4+3x3. To find the anti derivative of  f(x). Use formula ∫xn…

Q: In Exercises 23-30, find an equation of the tangent line to the graph of f at the indicated point.…

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Q: Use Separation of Variables to find the general solution of the following differential equation.…

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Q: A container of hot liquid is placed in a freezer that is kept at a constant temperature of 20°F. The…

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Q: (7) If x < 0 then 1/x < 0. (8) If 0<x<y then 0 <1/y < 1/x

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Q: Approximate the area under the curve graphed below from = 1 to x = 5 using a Left Endpoint…

A: To approximate the area under the curve graphed below from x=1 to x=5 using a Left Endpoint…

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

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Q: n=2 1 In n

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Q: Let y = f(x), where f(x) = √√x + 3. Find the differential of the function. dy =

A: NOTE: Refresh your page if you can't see any equations. . the given function is  take derivative

Q: What is the area bounded by y^2=4x x=1 x=4 that revovles in the y axis?

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Q: Use disks, washers or shells to find the volume of the solid obtained by rotating the region bounded…

A: By using disks, washers or shells to find the volume of the solid obtained by rotating the region…

Q: Find and sketch the domain of the function f(x, y) = In(-yr) √² + y²-4

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Q: The Maclaurin series of the function f(x) = 2x²e-5x can be written as f(x) спосп C1 where the first…

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Q: Find the area of the parallelogram with vertices P(2, 3, 2), Q(5, 5, 3), R(10, 10, 11), and S(7, 8,…

A: Given: We are given a parallelogram with vertices P(2,3,2),Q(5,5,3),R(10,10,11) and S(7,8,10). We…

Q: The slope of the 8.3 kN force F is specified as shown in the figure. Express F as a vector in terms…

A: Graph

Q: 35. The profit for producing x units of a product is given by P = 2400 - 403.4x + 32x² - 0.664x³…

A: The profit for producing x units of a product is given by P = 2400-403.4x+32x2-0.664x3, 10≤x≤25 To…

Q: Question 2.1. Let w₁ = 1 - i and w₂ = 2 + 3i. Find the imaginary part of (W₁² O O O O 0 -14i 14i -14…

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Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

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Q: 1 5 A 3 2 1 To find the blue shaded area above, we would calculate: [ f(x)dx = area Where: a= 1 2 3…

A: find the area of the blue shaded region . f(x) is passing through the points (2, 4) and ( 4 , 3) ,…

Q: a) What conditions on the functions g(t) and h(t) must be satisfied for the differential equation…

A: ( a ) Given differential equation g( t )dxdt + h( t )x = 0

Q: Find the value of q such that (3 + 4i) (1 + 2i) (1 + 3i) q(1 + i).

A: We have to find the value of q. First we will simplify the terms on right side then rationalize it…

Q: Determine if the sequence is geometric. If it is, find the common ratio, the 8th term, and the…

A: -4, 16, -64, 256,....

Q: Use the antiderivatives of trigonometric functions to evaluate the following. 3. f3 sec² x dx 4. f10…

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Q: Suppose that a pencil holder is in the shape of a right circular cylinder, which is open at one of…

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Q: Find the value of q such that (3 + 4i)(1+2i) (1 + 3i) q= = q(1 + i).

A: To find the value of q such that,  3+4i1+2i1+3i=q1+i

Q: Vector a is What is the component form ä? Enter your answer, rounded to the nearest hundredth, by…

A: Here the given vector in the magnitude and direction form as a→=r∠θ =30∠110°

Q: 2 Question 2.3a. Let Z1 = 1 and 22 Find the real part of 2₁ - 22. 0 - 2 1²/i.

A: NOTE: Refresh your page if you can't see any equations. . given complex numbers are

Q: help with problem 25

A: We have to find the radius and interval of convergence.   We will use Ratio Test to find the radius…

Q: Find the trigonometric integral. (Use C for the constant of integration.) = cos cos³(x-1) dx

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Q: Question 10 (part b) - Please show work

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Q: Find the cross product a x b. a = 5j 6k, b = −i + 2j + k Verify that it is orthogonal to both a and…

A: NOTE: Refresh your page if you can't see any equations. . given vectors are

Q: The expression 729g¹y³√729g¹y³ = kg"y³ where: T = 8 = and k =

A: Given:  729g4y33729g4y3=kgrys To Find: To determine the values of r, s, and k.

Q: The function f(x, y) = x² + 2y¹ + 8y² − 4xy² has stationary points at some of the following points.…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Question #6 2x³ 3x² +1 f(x)= Find the derivative for the following function....

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Q: Write an equation for the transformed logarithm shown below st f(x)= رنا 2 4 3 2 1 -2 -3- -4 -54 m

A: Graph

Q: The terminal side of 0 lies on the line 12x + 5y = 0 in the second quadrant. Find the exact value of…

A: We need to find exact value of tan.

Q: Approximate the following integral by computing the Trapezoid and Simpson approximations using 4…

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Q: 7 Let f be the function defined by f(x)= 2x² +5x-3 Part A: Use partial fractions to evaluate f(x)…

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Q: Find the equation of the tangent line = 14x +y at (2₁-32), to the curve 3√xy 35 3√/xy

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Q: Let 7 be the plane given by 3x + y + 2z = 6. (a) Let be given by x = 2+1, y = 3t, z = t. Does…

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Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: By using the Midpoint Rule with the given value of n to approximate  the integral. ∫088sinx dx, n=4…

Q: 26 Find the derivatives of: (a) f(x) = (x² + 1)5 (b) g(x) = 6x x²-1

A: Explanation of the answer is as follows

Q: x² 1- x6 dx

A: Explanation of the answer is as follows