1. Show that each alternating series converges 2 b. Σ(-1)" 3n+1 n=1 a. Σ(−1) n=1 n+1 n+1 n n² +1

Q: Let f(x) = cx + In(cos x). For what value of c is f'(π/4) = 7? C =

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Graph the equation shown below. Find the coordinates of any local and absolute extreme points and…

A: Given function y = x.800-x2

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Q: 3. Give the equation of the tangent line to z² + 2xy-y² + z = 2 at the point (1,2).

A: Given functionx2 + 2xy - y2 + x = 2

Q: Indicate whether the given series converges or diverges, if it is converges find its sum. C. k=1 d.…

A: Please see the below picture for detailed solution.

Q: Find the first three nonzero terms of the Maclaurin expansion of the given function. f(x) = In (1 +…

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Q: Population Movement In 2000 a country's population, broken down by regions, was 53.6 million in the…

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Q: Q2. Find the point on the graph of f(x) = x² that has a slope of -6.

A: Given: Find the point of the graph of f(x)=x2 that has a slope of -6.

Q: x² + 2x³ + 8x² + 3x. Let f(x) = x² Then f'(x) is and f' (2) is f''(x) is and f'' (2) is

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Q: is given x + x +1221-3 values A function y = For what of the function function always increasing?

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Q: Equilibrium Price: Skateboards The demand for your factory-made skateboards, in weekly sales, is q…

A: The demand for your factory made skateboard, in weekly sales, is qd = -6p + 50 If you are selling…

Q: 2. A sailboat in Lake Huron is pushed by the wind along a bearing of 130° at 30 km/h. A slight…

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Q: 19. 20. π/2 St sin7 x dx √t(t+1)

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Q: In parts (a)-(f), use the given figure. (a) Solve f(x) = 10. (b) Solve f(x) = 15. (c) Solve f(x) =…

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Q: Use the rule to calculate the derivative of the inverse function in terms of the orginal function to…

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Q: If the base of a solid is the circle x²+y²=64 and the cross-sections perpendicular to the y-axis are…

A: x2+y2=64there for base=2xx=64-y2base=2x=264-y2

Q: The quadratic form is positive-semidefinite but not positive definite negative-semidefinite but not…

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Q: At the beginning of an experiment, a scientist has 172 grams of radioactive goo. After 270 minutes,…

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Q: If f(x) = 4x² 9x38, find f'(x).

A: To differentiate the given function f(x).

Q: are the answers for A, E, and F the number 1 ?

A: To ask :- are the answers for A, E, and F the number 1 ?

Q: dy d²y dx² x = ² + 1, y = t² + 9t 2t +9 2t Find and dx dy dx || d²y dx² For which values of t is the…

A: Given query is to find indicated derivative and the value of t where curve concave up.

Q: Problem #5: (a) Express the complex number (-3 +41)³ in the form a + bi.

A: according to bartleby guide line we do only first part of multiple questions there for please re…

Q: A stone is dropped from the upper observation deck of a tower, 450m above the ground. Find the…

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Q: 4. If |g|= 11, || = 23 and g + h = 18, then determine lg - hl.

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Q: Given that f(1.5) = 1 and f(1.7) = −8.3, approximate f'(1.5). ƒ'(1.5) ≈

A: We can solve this by newton forward formula.

Q: X (A) fhas at most one zero. (B) f has a relative maximum at x = 2. -5 0 2 f(x) -9 1 5 84. The table…

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Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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Q: 19 6.³ 6² x dx dy x² + 19y ||

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Q: Calculate the maximum value for V. Give your answer correct to 3 decimal places

A: Given: A cuboid measuring 5x cm by x cm and h cm. Surface area = 720 cm2 To find: Maximum volume

Q: Problem 1.6. Describe the set of points z in the complex plane that satisfy each of the following a)…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: A bacteria culture grows with a constant relative growth rate. After 2 hours there are 600 bacteria…

A: Hey, since there are multiple subparts questions posted, we will answer at least three sub-parts. If…

Q: By the power rule, True False d dx [2] · 2x−1 =X.

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Q: Find the area of the surface. the part of the surface z = xy that lies within the cylinder x² + y² =…

A: Let z=f(x,y) is differential over the region R. Then surface area is A=∫∫R1+fx2(x,y)+fy2(x,y)dydx

Q: A curve is given x = 3t - 2 sint and y = t² + t cost parametrically by the equations Find the exact…

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Q: Sketch the graph of a differentiable function y = f(x) through the point (-2,2) if f'(-2) = 0 and…

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Q: Evaluate the integral 0 S -4 9 dx 9x - 4

A: We have to find out the integration.

Q: can you show me the steps by steps how to foil (1-u^2)^3. I keep getting the answer wrong

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

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Q: Find the equation of the tangent line to the curve y = 15xe at the point (0, 0). The equation of…

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Q: A particle moves along the x-axis so that its velocity at time t≥ 0 is given by v(t) = 1. What is…

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Q: An ecologist is conducting a research project on breeding pheasants in captivity. She first must…

A: For maximum area differentiation of area should be zero and double differentiation of area should be…

Q: 3. Integrate 1 + x (4+x²)² S dx.

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Q: The function f(x) = 2x³ – 36x² + 192€ – 3 has two critical numbers. The smaller one equals one…

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Q: 91 +x+ 2xt ₂x+ EX ε* = (x)}

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Q: 7-8 Graph the surface and the tangent plane at the given point. (Choose the domain and viewpoint so…

A: Answer in step 2.

Q: The projection of the point (2, -3, 1) on the yz- plane is Select one: O (0, -3,1) ○ (2,0,1) O (2,…

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Q: A force of 14 lb is required to hold a spring stretched 8 in. beyond its natural length. How much…

A: Given that:- A force of 14 lb is required to hold a spring stretched 8 in beyond its natural length

Q: The area of the region lying under the curve of y= -x² + 4 and above the x-axis over the interval…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: We need to find out the equation of the tangent to the given curve at the point.

Q: 2. Explain what it means for vectors to be each of the following: a) equal b) opposite c) collinear

A: A) equal vector