y 3 2 1 (1, 1) 2 y = √x 11 1 X LC X=8 X

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

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

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: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e, y = 1…

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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: (2) (a) Find the area of surface of the cone z = √y² + x² bounded by the plane 28. Make an sketch of…

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Q: Evaluate the definite integral. ¹9 So 18 X√x - 8 dx

A:

Q: O-a³-3a²+4a

A: Simplify the same coefficient

Q: Question #16 - For the following function, list the intervals where f(x) is concave up and where it…

A: To determine the intervals where the function f(x)=3x4+2x3-12x2+5 is concave up and concave down, as…

Q: Solve the initial value problem dx (1 + cos² t). - x sin 2t = 5t² + 2t + 3, x(0) dt

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Q: ΣΤΑ n=1 (n + 1)2 3 η

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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: The function P(x, y) = 6xy-4x²-3y² +100 is to be Question #18 maximized using the constraint x+3y=19

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Q: Find the points (x, y) at which the polar curve 8 cos 0, horizontal tangent line. π VI 0 < 130 has a…

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Q: 1. The diameter of a circle has endpoints located at 2, 13) and (2,19 Show all steps to determine…

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Q: Create a problem where the equation of a line that has an absolute max of 5. Please show steps, (it…

A: We need to construct a problem where the equation of a line that has a absolute max of 5.

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

A: a. We need to find condition for D.E. to be exact. b. We need to solve D.E. c. We need to solve…

Q: 3. Find the equation in standard form of the hyperbola satisfying the given condition: 3 -x 4 Foci:…

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Q: Use the dotted line as your y-axis and the solid gray line as the x-axis. Find the distance from the…

A: As you posted multiple subparts, so as per rule I need to solve only first three subparts.

Q: Find ƒ if ƒ"(x) = 2 + cos(x), ƒ(0) = 10, ƒ(π/2) = 6. -0 ƒ(x) =

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Q: Q11 Find the derivative of ƒ(x) = (x² + 5)(3x − 1) (a) By simplifying and then differentiating (b)…

A: Let two functions u and v then ddx( u,v ) = udvdx + vdudxGiven function f( x ) = ( x2 + 5 )( 3x - 1…

Q: 2. (3x² + y)dx + (x+3y²)dy = 0

A:

Q: 1 of 10 Use the Rectangular Approximation Method to approximate the area of f(x) = 2³ on the…

A: Using the Rectangular Approximation Method with 4 rectangles and taking the midpoint of the…

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).

Q: Evaluate the definite integral 3 fat- (t-5) (6-t) dt NO

A:

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: True or False, ₁x1-x²dx = 0 O False

A: FORMULAE-

Q: Answer the following for the function f(x)=3x² +5

A: The given functionfx=3x2+5. To find the average rate of change from x=1 to x=4.

Q: Consider the following function where a is a positive constant. f(x) = x + a√√x (a) Select the…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 2. The temperature of a point on the sphere x2 + y² + z2 = 9 is given by T(x, y, z) = x+y+4z. We…

A:

Q: Solve: 7x+5 = 5*. Enter an exact answer or round your answer to the nearest tenth.

A: We need to solve 7x+5=5x.

Q: Find the equation of the tangent line to the graph of f(x) your work. = 2x x+1 at the point (1,1).…

A: given function is f(x)=2xx+1 and point is (1,1)

Q: *30 A table of values of an increasing function f is shown. Use the table to find lower and upper…

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Q: Find all vertical asymptotes, x=a, of the following function. For each value of a, evaluate lim…

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Q: The function f(x) = 2x³ − 42x² + 240x-2 has two critical numbers. The smaller one is x = and the…

A: given function is f(x)=2x3-42x2+240x-2

Q: 28. The region bounded by y=√√x, the x-axis, and the line x = 9.

A:

Q: Evaluate the definite integral. re64 dx e x√In(x)

A: Given: ∫ee64dxxln(x) Let I = ∫ee64dxxln(x) We will solve this integral using integration by…

Q: 3. DETAILS TANAPCALC10 2.4.076. 0/2 Submissions Used Find the indicated limit, if it exists. (If an…

A:

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: use the vectors u= and v= to find the indicated quantity 3u * v= State whether the result is a…

A:

Q: Is the series convergent or divergent using integral test. State the reason.

A: NOTE: Refresh your page if you can't see any equations. . the given series is  the given sequence…

Q: Show that F(x) = 4x² + 6x +5 is anti-derivatives of f(x) = 8x + 6

A:

Q: Question #30 - If f(x) = 3x²+2x-5, then find the slope of the secant line between x = 1 and x =2. a)…

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Q: 4 2 x-4x+5 S. dx

A:

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: Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments…

A: the graph given to us consists of the three lines and semicircle and the function is continuous on…

Q: Write the equation for the graph shown below. -4 -8 -2 6 -5- 4 3 2 1 4 -2 T 12 34 D

A: Equation of a line.

Q: Sketch the graph of the function f. √x - 6 -10 O -10 f(x): = -5 -5 -2x + 3 y 10 5 -5 -10 y 10 5 5…

A: According to question,Given Function,fx = x-6if x≤3-2x+3if x&gt;3

Q: Simplify. −x²³y² − 4x²y² + xy² -7x³y² +5x² - 2x³y² O-9x³y2²-4x²y² + 5xy² O-14x³y²-4x²y² + 5xy²…

A: Simplify

Q: Question #21 We want to make a rectangle with the least amount of cost. If it costs $10 per ft for…

A: