-4 1.0

Q: find the limit. lim t→0^+ (4cost, 12sint, 3tlnt)

A: Step 1:The given function is:f(t)=(4cost,12sint,3tlnt)To find the limit of the vector function as…

Q: Show that the following trajectory lies on a sphere centered at the origin, and find the radius of…

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Q: Solve show work and formulas used and how you plugged in the numbers

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Q: Use the product rule to find the derivative of the function. (Hint: Write the quantity as a…

A: If you have any problem let me know in comment section thankyou.

Q: solve the initial value problem.

A: The given initial value problem is: 4y′′−4y′−3y=0,y(0)=1213​,y′(0)=2423​ Step 1: Find the…

Q: id=108858 Instructions Please post your answers directly on the screen or inbox me directly. 时☆ 0 1.…

A: The double-angle identity for cosine is given by cos(2x) = cos^2(x) - sin^2(x). We can derive the…

Q: What is your estimate of the slope?  Slope ≈ ? (Round to the nearest integer)

A: ANSWER :​​

Q: Find lim (x − √x² + 16). X1X - 2x5- − 6x4 + 1 Find lim x--∞ 3x² + x − 7

A: Item 1:        Step 1: To easily evaluate the limit of the expression, multiply the conjugate of the…

Q: Explain how to add complex numbers.

A: A complex number is a number of the form a + bi, where a and b are real numbers, and i is the…

Q: Carbon-14 is a radioactive substance that decays over time. It is used to date fossils and other…

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Q: Find the most general antiderivative. 3 dx 3 tan1 x - 4 In |x| +C -1 3 tan¯x-In |x| +C tan-1 x In Ix…

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Q: This is part of a review packet that was handed out in means of helping us study for our first unit…

A: Given : f(x)=7x3ln(x) Diffentiating w.r.t x : f′(x)=dxd​(7x3ln(x)) Take the constant out: (a·f)′ =…

Q: For each limit, verify that the function is continuous on its domain, then use direct substitution…

A: To solve the limits, we will first check the continuity of the functions at the given points, and…

Q: This is a 3 part question  could you explain part c only please

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Q: 3. Find the volume of the solid formed by the intersection of two cylinders with radius 3, as shown…

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Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

A: 1. y = 27t - 29t2 Since velocity is equal to the rate that position changes over time, the…

Q: 3. Evaluate the following infinite limits. Briefly justify your answers. √x a) lim x-5(x-5)3 b) lim…

A: Step 1:Here see that the numerator approaches a negative value and the denominator approaches 0 from…

Q: Evaluate the integral. e2x Se2x. 3e-x O dx Inle³x-3x+C 3 Inle 3x-3+ C 01 inke2x30x1 + C о Inle Inle…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the volume inside x² + y² = 1 and x² + z² = 1.

A: We can follow these steps: Step 1: Understanding the SetupCylinders:The cylinder aligned along the…

Q: The graph of a function f is shown. y 800 400 x 0 20 40 60 (a) Find the average rate of change of f…

A: a. First find f(50) and f(60).f(50)= 400f(60) = 700Now use the AROC…

Q: What is P(senior)? What is P(not senior and not a business major)? What is P(senior or not a…

A: Given,  business major (yes)business major (No)Totalsenior (yes)216889senior (no)178198Total38149187…

Q: 100% sure experts solve it correct complete solutions need to okkk

A: For Question 12 Graphing (Question on Left): A horizontal line at y = 3 on the graph is provided.…

Q: don't be lazy please. dont use chatgpt. Actually explain it out in good detial

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Q: The regular selling price of a new kitchen aide mixer is $250. a store is offering a pre-black…

A: The given values in the problem are:Regular selling price of the mixer (P) = $250Discount rate (d) =…

Q: side lengths a and b of a right angle triangle are measured to be (5±0.1) cm and (12±0.2) cm, where…

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Q: Help me with the product rule, Differentiate each function with respect to x.

A: There are two different ways in which we can use product rule of differentiation.We will see both…

Q: PLEASE ANSWER!!

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Q: At a point (xo, yo), the gradient vector of a function is Vf = (1, 2). Which of the following must…

A: The gradient vector ∇f at a point on a level curve is always perpendicular to the tangent line of…

Q: 7. Choose two of the following three problems to answer. You may need the following concepts from…

A: Step 1: Step 2: Step 3:

Q: A variable force given by the function 4e^(−x) pushes an object along a straight path where x is in…

A: if doubt arises please mention in the comments.

Q: ] Determine the limits (a) lim x2 (x,y) (0.0) x²+y2 xy (b) lim (x,y)(0.0) x²+y2

A: solution of the given question is like as;a) lim(x,y)→(0,0)​(x2+y2)x2​path: y =…

Q: Solve show work pls

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Q: Calculate an order of magnitude estimate of the total amount of money spent each year on pizza by…

A: The given values are:Number of people living in New York state (N) = 19,400,000Number of pizza…

Q: Could you please explain parts b and c  the solution is attached with the question  part is just the…

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Q: 14 meters per second. If the initial position is 1. The velocity of a particle after t seconds is…

A: The velocity is:v(t)=1+t3​ The integral of the velocity expression from t = 0 to t = 20s gives us…

Q: Pls help ASAP, and show all work and steps and please circle the final answer.

A: Step 1: Define the scorpion ruleScorpion Rule:ac = bis equal to:logab = c Note: Using the…

Q: Evaluate the following limit by analyzing the behavior of the numerator and denominator as…

A: We evaluate the limit of the function (12x - 5)/(8x + 2) as x approaches -1/4 as follows: 1.…

Q: Find the exact length of the space curve given by r(t) = < (2)1/2t, et, e-t > for 0 < t…

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Q: Indeterminate Limit Problems

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Q: (a) Find the exact value of each x ∈ [0, 2π) for which sin(2x) = √ (3 cos(x)). (b) Determine the…

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Q: Evaluate the following expressions. Enter 'DNE' if the limit does not exist or is not defined.You…

A: Step 1:Step 2: Step 3: Step 4:

Q: Find the arc length of the graph of the function over the indicated interval. y 1 = 23 √(x² + 1) ³/2…

A: Solve the integral: This integral is solvable either through substitution or using numerical…

Q: Find d dx L 0 4x 1+x4 1 1+x4 2x 2 1+x² 1 21+t2 dt

A: Step 1:Step 2: Step 3: Step 4:

Q: find the angle between the vectors u and v. u= <3,3>. V= <2,3>

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Q: Please solve

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Q: how could I solve the question that's written on paper? Thank you so much.

A: Step 1:

Q: 3) Given that Le e-2 dx = √√, what is the value of x²e-x² dx?

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Q: Use the given graph of f(x) = x2 to find a number δ such that if |x - 1| < δ then |x2 - 1| < (Round…

A: The graph of y=x2is a parabola that opens upwards, with the vertex at the origin (0,0). For this…

Q: Question 1 1 pts Using Simpson's rule for the integral, with four subdivisions, calculate the…

A: Let's go through the complete calculation for the problem, including using Simpson's rule to…

Q: Substituting this simplified numerator back into the limit, factoring and canceling common factors,…

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