10. x³ .3 = 2x-y x+3y

Q: For Evaluate the following expression. Select the correct answer below: ={ f(x) = 4-x-x² 2x1 lim…

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Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

A: The given function is

Q: If s(-2) = 1 and s'(x) < −3 on [-2,9],

A: s(−2)=1 and s′(x)&lt;−3 on [−2,9], Using the mean value Theoremf′(c)=f(b)−f(a)b−a

Q: The polynomial C(t) = -0.006t4 +0.140t³ -0.53t² +1.79t measures the concentration of a dye in the…

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Q: Find B and for the space curve below. r(t) = (6 sin 4t)i + (6 cos 4t)j + 7tk T = 24 cos 4t 25 4¹) ₁…

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Q: Evaluate the double integral •x=√4-y L (x + y)dxdy by y=0Jx=1 (a) sketching the region of…

A: We have to evaluate the double integral  Then we have to answer the following...

Q: 7. Use the Fundamental Theorem of Calculus, if possible, to evaluate the definite integral. a) f³…

A: The given integrals

Q: 2. Prove the statement lim(10-4x)=- a limit). Show all your work to find and write a formal proof.…

A: Limx-3(10-4x) =-2

Q: Find the point on the line 3x + 7y+ 6 = 0 which is closest to the point (-4,-3). )

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Q: sin 20 c) lim 000

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Q: Using n=2 equal-width subintervals, approximate the area of the region bounded by the graph of, f(x)…

A: By using left endpoint and using  equal-width subintervals, to approximate the area of the region…

Q: Calculate af ax af af ax af Əy (1, -1) af af af af ax' ay ax (1, -1) ay (1,-1) f(x, y) = 7,000 - 65x…

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Q: Find the volume of the region bounded by the planes 4x + 2y + 3z = 5, y = x, x = 0, z = 0.

A: 4x+2y+3z=5,y=x,x=0,z=0.0≤z≤(5−4x−2y)3z=0⇒y=5−4x2x≤y≤5−4x25−4x2=x5−4x=2xx=56

Q: 27. Find a positive number for which the sum of it and its reciprocal is the smallest (least)…

A: Question No. (27): To find a positive number for which the sum of it and its reciprocal is the…

Q: A box with a lid is to be made from a rectangular piece of cardboard 11 cm by 16 cm, as shown in the…

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Q: Show that the function g(x, y) = is not continuous at (0,0). xy 2x² + y²¹ 0, (x, y) = (0,0) (x, y) =…

A: g(x,y)=(xy/(2x2+y2), (x, y) not equal to (0,0)               0                 ,(x, y) = (0,0)

Q: The total profit from selling x units of cookbooks is P(x) = (2x-2)(4x-9). Find the marginal average…

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Q: Find two numbers whose sum is 9 and whose product is a maximum. The two numbers are (Simplify your…

A: The objective of this question is to find two numbers whose sum is 9 and whose product is a maximum.…

Q: Find af ax af ду af az af af af "7 ах ду ду = af 11 -(0, -1, 1) = and Find their values at (0, -1,…

A: The Power Rule:The Chain Rule:

Q: Find the interval and radius of convergence of the following power series. 1. Σx-1 (−1)” 2″ x” n=1…

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

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 4t, where 0 ≤ t ≤ 2.5…

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Q: Calculate af Әх af ду af ?х af ду af af af ах ду' Әх -f (1, f(x, y) = ex + y (1, -1) (1, -1) = = = =…

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Q: Find the value or values of c that satisfy the equation the following function and interval. f(x) =…

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Q: Question For which value(s) of x does f (x) = 16x³ - 4x² + 6x - 13 have a tangent line of slope 5?…

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Q: What is A’(x) for this picture?

A: We need to find A'(x).

Q: Question Find the derivative of f (x) = (−2x² + 2x +4) xª Do not include "f'(x) =" in your answer.…

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Q: Use the alternative curvature formula k = following parameterized curve. r(t) = (4 + 2t²,2t,0) K=…

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Q: |ữ|= 3, |v|= 2, and the angle between # and (when placed tail-to-tail) is 45°. Find 27 +3v. 11 12…

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Q: ketch the graphs of the functions f and g. 1 f(x) = g(x) = 2x − 1 O O -10 10 6 4 2 L2 -1086-2 -6 -8…

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Q: Given that f₁ f(x) da = 7 and fº₁ƒ(x) dx = -2. dx fő 2f (x) dx. evaluate

A: ∫−15f(x)dx=7 and ∫−10f(x)dx=−2Using the definite integral property∫acf(x)dx=∫abf(x)dx+∫bcf(x)dx

Q: AB is the vector from the point (1, 2) to the point (3, 4). Calculate the magnitude of AB a) √√3+5…

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Q: 5. Use a triple integral to find the volume of the solid in the first octant bounded by the plane 2x…

A: Solid in the first octant bounded by the plane 2x+3y+6z=12 and the coordinate…

Q: Find the area under the given curve over the indicated interval. y = 4x; x =1 to x = 3

A: y=4x, x=1 to x=3

Q: 7) Apply the Mean Value Theorem tof on the indicated interval. Find all values f'(c)=- f(b)-f(a) b-a…

A: (7) Mean Value Theoremf′(c)=f(b)−f(a)b−af(x)=3x−52x+1,2≤x≤4

Q: The answer to lim t + t² + 4 is t--∞ Select one: O a. 0 O b. -4 O c. the limit does not exist. O d.…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Find a formula for the general term an of the sequence, assuming that the patterm of the first few…

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Q: 8. A spring has six coils in the form of the helix x = 3 cost, y = 3 sint, z = 31/(4x), 0≤I≤ 12m,…

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Q: Find the work done by a force of 18 lbs acting in the direction N35°E (this means start by pointing…

A: The objective of this question is to calculate the work done by a force acting at an angle to the…

Q: Draw the region whose area is given by the definite integral. (6-2 (6 - 2x)dx

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Q: 3. Is there a relation between the domain of a function and its interval of convergence?

A: From the given statement

Q: 6. Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = x²…

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Q: Calculate 7 af Әх af af af af 7 Әх ду Әх af ах af ду (1, -1) (1, -1) f(x, y) = x4y3 - х = = = , and…

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Q: Let f (x) = √√√x + 4 and g(x) = ex² + 5, then Select one: a. b. O c. O g•f = √ex² +5+4 8. 8 · f = √…

A: 1). 2).

Q: Let u = (5,-4) and v= (-4,7). Find the (a) component form and (b) magnitude (length) of the vector.…

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Q: Find the gradient field of the function, f(x,y,z) = (3x² + 2y² + z²) −1/².

A: According to Bartleby Guidelines, we can solve only first question from multiple question, please…

Q: (Technology Permitted) Find the area of the region enclosed by the graphs of f(x) = - 3x +6 and g(x)…

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Q: The demand equation for a certain product is 6p² + q² = 1,200, where p is the price per unit in…

A: The demand equation for a certain product is 6p2+q2=1200,where p is the price per unit in dollars…

Q: Determine the integral by making the appropriate substitution. . 1 -dx 8x 1+ 4e

A: .

Q: X = = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of…

A: Consider the parametric equation

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

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