1) Find the equation of the tangent line to the graph y=xe at the point (1, 1).

Q: PREVIOUS ANSWERS ASK YOUR TEACHER PRACTICE ANOTHER Find the derivative of the function. f'(x) = X x…

A: To find the derivative of the function f(x)=3x−5x+3x​​, we use the quotient rule, which states that…

Q: Use the product rule to find the derivative of the following. p(y) (y¹ + y²) (6y¯³-10y¯4)

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 1 The points A = (-2, 3, 2) and B = (4, 1, 4) are reflections of one another in a plane S.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find area of the sector

A: Ans 13:Read this as answer number 13Ans 15:

Q: 10 The hypotenuse of a right triangle has one end at the origin and one end on the curve y = Express…

A: 1) To find the Area of the Triangle, identify, first, its base and height. Note that:One end of the…

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A: a) The graph starts at (0,1) and grows exponentially on both sides of the y-axis.b) To prove the…

Q: 6. Researchers who have been studying the alarming rate at which the level of the Dead Sea has been…

A: Given FunctionThe density of the brine is given by:d(x)=1.66−0.9x+0.47x2where x represents the…

Q: B 2- The figure gives four points and some corresponding rays in the xy-plane. Which of the…

A: Option A: Correct: OC is the initial ray (positive x-axis), and OB is in the second quadrant. The…

Q: Let g(x) = f(t) dt, where f is the function whose graph is shown. 3 y f(t) MA t (a) At what values…

A: Step 1:Step 2:

Q: 1. Let Ả = −2x + 3y+42, B = - - 7x +lý +22, and C = −1x + 2y + 42. Find (a) Ả X B (b) ẢX B°C c) →→ Ả…

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Q: Evaluate the integral using any appropriate algebraic method or trigonometric identity. S- dy 18 √2…

A: The given integral is:I=∫183y2​(1+y2/3)dy​ Step 1: Substitution  Let:y1/3=t Then,y=t3sody=3t2dt…

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Q: Let I = f(x) dx, where f is the function whose graph is shown. 4 2 y f X 1 2 3 4 (a) Use the graph…

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Q: If h(x) = -2x-8 49x2-9 what is lim h(x)? x--00

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Q: Find the derivative of the function. y= (8x²-6x²+3)4

A: The given function is:y=(8x4−6x2+3)4 Required is the derivative, y', of the function. Recall the…

Q: Q1: (8+17 Marks) (a) If A-[ a ] is a 3x3 matrix; such that a = i (4-2), find the values of diagonal…

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Q: : +00 العنوان 개 JR2 Find the first moment about y-axis (My) and center of mass (x) of the region…

A: The region is bounded by the line y = x, the line x = 1, and the x-axis. This forms a right triangle…

Q: X 4 324 6352 47 5. 7 0 = 11.6 = 6. 45 31 ngle. Round all measures to the nearest tenth.

A: From the given right triangles, We have, Angle = θOpposite = 4Hypotenuse = 7 Because opposite side…

Q: Problem 4. Let f(x, y) = { Find P(X <1/2|Y = 1/2). c(x + y²) 0<x<1 and0<y<1 0 otherwise

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Q: 4. Let F RNR be a mapping. (i) x ЄRN ? (ii) : What does it mean to say that F is differentiable at a…

A: ### (i)Definition of Differentiability:A mapping  F:RN→Rm  is said to be differentiable at a point…

Q: Solve please thanks!

A: ANSWER :​

Q: temperature in degrees Fahrenheit, n hours since midnight. 5. The temperature was recorded at…

A: Questions 5: Part (a) :- Solution   Step 1:    Describe the overall trend of temperature throughout…

Q: Draw the asymptotes (if there are any). Then plot two points on each piece of the graph.

A: Step 1: Understanding the Given Rational Function    3. Plot the graph  Step 2: Find the Vertical…

Q: For each given function f(x) find f'(x) using the rules learned in section 9.5. 1. f(x)=x32 32x 2.…

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Q: Question 3 Starting at the point (0, −2,0), I walk up the hill z = 4-x² — y². The projection of my…

A: Given:Surface equation:  z=4−x2−y2 Projection of the path on the xy-plane:  y=2x−2 Starting point:…

Q: Exercise 1 Given are the following planes: plane 1: 3x4y+z = 1 0 plane 2: (s, t) = ( 2 ) + ( -2 5 s+…

A: In the above diagram, the angle between the normal vectors α is what we are calculating using the…

Q: 6 5 4 3 2 1 -1 -1 -2 -3 -4 A -5 -6- The graph above shows the function f(x). The graph below shows…

A: Step 1:To determine the values of A and B in the transformation g(x) = A f(Bx), we need to analyze…

Q: solve these please

A: Question 6A two-sided limit limx→c f(x) exists only if the left-hand limit and right-hand limit at…

Q: "Solve the following differential equation using the Operator Method and the Determinant Method:"…

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Q: Please refer below

A: f(g(−2))=−4g(f(1))=−2f(f(2))=−1g(g(−3))=−3

Q: 7.10 (B/C). A circular flat plate of diameter 305 mm and thickness 6.35 mm is clamped at the edges…

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Q: 2.3 Vibration amplitude of a machine plotted against time shown in Fig. T2.3. is described by…

A: The problem is asking us to find the velocity of the vibration as a function of time. In calculus,…

Q: 4 3 2 -5 4-3 -2 -1 1 2 3 4 5 12 23 -4 The function graphed above is: Increasing on the interval(s)…

A: Step 1: Step 2: Step 3: Step 4:

Q: 3. Use the method of washers to find the volume of the solid that is obtained when the region…

A: Let's give it a try. To provide precise answer, I believe further reference is necessary, but I will…

Q: 3 2 1 y O a The graph of the function f is shown in the figure above. Which of the following…

A: Step 1:Step 2: Hence only 2nd option is correct.

Q: ansewer both questions in a very detailed manner . thanks!

A: First, we need to identify the integral that we are asked to solve. In this case, we have two…

Q: Use technology to find f'(4), f'(16), f'(-5) for the given function when the derivative exists. f(x)…

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Q: Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account…

A: First, let's identify the variables and constants in the problem:y(t) is the retirement account…

Q: 2. Suppose f(x) = 3x² - 5x. Show all your work for the problems below. a. Evaluate f(-3). If you…

A: If you have any help please let me know in comment box thankyou.

Q: sy = f(x) + + + + + + + + + X 3 4 5 7 8 9 The function of shown in the figure is continuous on the…

A: We need to identify a point from the given points A,B,C,D in (0,9) which satisfy both the…

Q: Find three horizontal tangents  between [0,10]

A: A horizontal tangent occurs where the derivative of the function is zero, meaning the slope of the…

Q: Evaluate the integral below: (4w (4w8) sec(4w) tan(4w) dw

A: We need to integrate  ∫(4w−8)sec(4w)tan(4w)dw Step 1: We can use the integration by parts rule to…

Q: (2) (8 points) Determine normal vectors for the planes given by the equations x-y+2z = 3 and 2x + z…

A: Given:Plane 1: x - y + 2z = 3Plane 2: 2x + z = 3  Step 1: Normal Vectors of the Planes The equation…

Q: i need help please dont use chat gpt

A: Step 1: The given vector field is, F=−ϵ Let′s verify the relation ∇⋅F(0,0,0) = limϵ→0+​ volume…

Q: Number 6 pls

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 1. Please solve this for me and show every single step. I am studying  and got stuck on this…

A: The function to be integrated is f(x)=4x+3.

Q: 7. Evaluate the following limits and justify each step. (a) lim (3x²+2x+1) 1 x²+4x-12 (b) lim 1 2 x²…

A: If you have any questions let me know in the comment box thankyou.

Q: 3. Let f R2 R be a function. (i) Explain in your own words the relationship between the existence of…

A: ### (i) Relationship Between Existence of Partial Derivatives and DifferentiabilityThe existence of…

Q: 12:05 MA S 58 58. If f(x) = ci.metaproxy.org 25 2xon [0, 10] and n is a positive integer, then there…

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Q: Which of the functions shown below is differentiable at z = 2? Select the correct answer below: о…

A: The third graph (straight -line function) is differentiable at x =2    because it is a smooth…