x f(x) g(x) T(X) g'(x) 3 1 9 9 6 7 4 3 3 2 -5 g(x+f(x)), x=3

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Q: a. · b = . ) Find a ⋅ b if |a| = 2, |b| = 2, and the angle between a and b is - radians.

A: a⋅b≈3.76Explanation:The dot product of A and B is,a⋅b=∣a∣∣b∣cosθ Given the…

Q: Find the exact length of the curve. y = 1-ex 0 ≤ x ≤ 5 -V1+e -10 - n -10 +1 ++ (1) √2+1 √1+e -…

A: The length of the curve of function f(x) over the interval  is The given curve equation is  ,

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A: By the Integral Test, the series  ∑n=3∞​(n−2)23​1​ converges, and it converges to the value…

Q: THIS IS CALCULUS (integral) in ft and lb please find the work done by the force to stretch the…

A: The objective of this problem is to find the work done by the force to stretch a spring 7 inches…

Q: the image number 2 is broken i cant see it pls re answer with proper pics thank you

A: Poiseuille's lawExplanation:Step 1:Step 2: Step 3: Step 4:

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A: Given:a plane containing point (-4, 6, 6) and line-To find:Equation of that plane

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Q: The region bounded by the curve y = x² + 1 and the line y-x+3 is revolved about the x-axis to…

A: Given that the region bounded by the curves

Q: Complete the following table with the derivatives. Ensure that you show ALL steps. Simplify your…

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Q: please answer this four question please i will give like thank you

A: Solution is given below if you have any doubts please ask me. Thank youExplanation:

Q: Suppose you sell skateboards and equipment. Grip tape costs you $2 for each foot, Each set of wheels…

A: Let G, W, B, T, and D represent the amount of grip tape, wheels, bearings, trucks, and decks…

Q: Let y = tan (3x+5). Find the differential dy when x = 1 and dx == 0.2 Find the differential dy when…

A: The answers have been provided.Explanation:

Q: Q3/ Find the general solution of the differential equation dy 3x2 tan y)+ x³sec2y- = COS X dx 17.10.…

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Q: asymptote future value derivative half-life present value doubling time rule of 72

A: Therefore, the required answer is "doubling time"Explanation:Step 1:The blank should be filled with…

Q: +a2+C √ √√a² + u²du = ½ (u√u² + a² + a²]n]u + √u² + a² 1) + T 114

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Q: 20. Given a = [3, −5, 1], b = [−2, 4, −1] and d = [7,3,-2], find a) b.z b) ax c c) 0, the angle…

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Q: Let f(x) = x³ - 8x² - 12x + 3. (a) Find all partition numbers of f'(x). (Enter your answers as a…

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Q: Hello Continuing with this problem, shown in the picture, where the  parameterization for S was…

A: The area under the given curve is 0 sq. units.Explanation:After the conversion of the variables to…

Q: Use the arc length formula to find the length of the curve y = 54x, -2 ≤ x ≤ 4. Check your answer by…

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Q: 200e-x²-12²/4-2²-19, where T is measured in degrees Celsius and x,y, and z in meters. There are lots…

A: The rate of change of the temperature at the point (1,-1,1) in the direction toward the point…

Q: Evaluate the iterated integral by converting to polar coordinates. √√64-x2 ' (ཏ ཏཾ ཨབྷཱ, ཨཏིཡཾ -…

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Q: What are the Test Statistic and P-Value?

A: a. The null and alternative hypotheses are, H0: μD​ ≥ 0 Ha: μD​ < 0 where D = AFTER - BEFORE b.…

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Q: Let R be the shaded region in the first quadrant enclosed by the graphs of = 1 + sin x, y=ex²-1, and…

A: Given  and

Q: Can you please provide me with a detailed problem and solution that helps me to understand the…

A: The objective of this question is to understand the concept of surfaces and level curves in…

Q: How would I integrate 1/ln(x)? (Having only done calculus 2)

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Q: Prove the reduction formula for ∫ sinnx dx

A: The required answer is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3).

A: By using the graph of y=f(x) in the accompanying figure to estimate thevalue of .

Q: 10. Write the integral needed to find the volume of the solid formed when the graph of the region…

A: Question No. (10): To write the integral needed to find volume of the solid formed when the graph of…

Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

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Q: pls answer these two question using calculus

A: Answer1)14/9 or 1.562) 125/6 or 20.83 Explanation:Hope it helps you please ask if you gets any…

Q: Given the differential equation 3y" - y' = 2x, the complementary solution is A. y = C₁ + C₂ex B. y =…

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Q: Find the equation of the function below. Y 5 3 2 10 TT/2 Π 3п/2 2TT 5TT/2 3TT 71/2 4TT 911/2 5TT -2…

A: Here given that a graph and we find the equation of the function by using  this graph.

Q: use the chain rule to the derivite of 4(-2x^6 - 3x^4) ^17

A: f′(x)=(−816x5−816x3)(2x6+3x4)16Explanation:

Q: Calculate the derivative of the function. Then find the value of the derivative as specified.…

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Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

A: The base of the triangle is decreasing at a rate of ≈ 3.012 cm/min.Explanation:Step 1: Given:…

Q: An investor wants to select one of the six mutual funds for the coming year. Data showing the…

A: a)  Conservative Investor:For a conservative investor, minimizing risk is crucial. Therefore, the…

Q: Find the area of the region bounded by the graphs of the equations y = cos² x, y = sin²(x), x = - πT…

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Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile…

A: Please refer below for answersExplanation:To find how fast the height (h) of the pile is increasing…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: Solution is given below and please check calculation.  if you have any doubts please ask me. Thank…

Q: Complete the parametric equations of the line through the points (3,7,-6) and (-5,-2,-8) x(t) = 3-8t…

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Q: π-2 2π - 15/10 05 Multiple Choice A particle is moving on the x-axis with a velocity of v (t) = t² -…

A: The objective of this question is to find the values of time (t) for which the speed of the particle…

Q: draw and label diagrams to solve the related rates problem: a traingle has two constant sides of…

A: The objective of this problem is to find the rate at which the area of a triangle is changing given…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: The answers are as follows: 7.The vector equation of the line isr=(7,2)+s(2,−3),s∈R.Option b. is…

Q: Determine the interval of convergence of the power series Σ (x-5)" n.3n n=0

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Q: If ♂ = [m, n, 1] is perpendicular to both a = [4, 1, −2] and ỗ = [2, −3, −8], find m and m

A: Consider the vectors

Q: a. Use implicit differentiation to find dy dx b. Find the slope of the curve at the given point. 3…

A: 6xy=9(a)ddx(6xy)=ddx(9)Using the product ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

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