Find the point at which the line (t) = (7, −7, −5) + t(5, -1, 4) intersects the yz plane.

Q: Suppose that f(x) = (1 − x)(x+5)². (A) Find all critical values of f. If there are no critical…

A: Step 1:Step 2:Step 3:Step 4:

Q: Show human working please

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Q: Find the trapezoidal Riemann sum approximation of for √x²+3dx using four equal partitions. · f(0) +…

A: Step 1:

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: The given vector field is:F=⟨cos(x)+2y, sin(y)−x⟩Now we have to find:∫C​F⋅dswhere C is the boundary…

Q: 3. Find the length of the axes of the ellipse defined by the equation (x-3)² (y+2)² + 9 nearest…

A: The objective of the question is to find the lengths of the axes of the ellipse defined by the given…

Q: Consider the function f(x) interval. 1 = on the interval [4, 7]. Find the average or mean slope of…

A: Step 1:The mean or average value of the function f(x) in the interval:[a,b] is: m=b−af(b)−f(a)​Step…

Q: Answer this show all work this is calculus

A: Step 1: given that POI=x=2 f(1)=2 and f'(1) minimum {ie.f'(1)=0And F(x)=ax3+bx2+cx+1Step 2: first…

Q: 1ASC Nom parfait :..... ASC Exercice 5 Ahmed a 26 ans et sa sœur Sana a 8 ans. Après combien…

A: Pour résoudre ce problème, nous pouvons définir x comme le nombre d'années après lesquelles l'âge…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

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Q: What integral can be approximated with the following: (-3+ 5113157 i=1 (5x)dx √2(5x)³ dx 021x3dx JO…

A: Step 1:​i=1∑n​[41​(−3+n5i​)3]n5​​Step 2:​Using Riemann…

Q: (b)What is the bearing from the first plane to the second plane at that time? Round to the nearest…

A: Step 1: Step 2: Step 3: Step 4:

Q: What point (if any!) of the curve h(x) = x^3, does the normal have a slope of 15

A: The objective of this question is to find the point on the curve h(x) = x^3 where the normal to the…

Q: Which of the following functions has the smallest average value on the given interval? Select one:…

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Q: Evaluate the integral and express your answer in simplest form. 7 dx 1+x2

A: To evaluate the integral, you can use the arctangent function.

Q: Evaluate the indefinite integral. (x + 1)e³x²+6x dx (Express numbers in exact form. Use symbolic…

A:

Q: 2a

A: Step 1:Step 2:Step 3:The change of order gives same answer which is 9.

Q: By inspecting the graph of the function, find the absolute maximum and absolute minimum on the given…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: find limit,if exist

A: The objective of the question is to find the limit of the expression 'x cos(1/yz)' as (x,y,z)…

Q: Please don't provide handwritten solution ..

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Q: solve and replace in the equations

A: Step 1: To solve the system of equations, we can use substitution or matrix methods. Let's first…

Q: The series below is convergent. Find the sum of the geometric series: ∞ 1+ (-3)n 7n n=2

A: Step 1:Given series is it's given that it is a geometric series & and we know that the sum of…

Q: Given: An = 8n 8n +1 For both of the following answer blanks, decide whether the given sequence or…

A: Step 1 (a) The series  ∑n=1∞​An​  from n = 1 to ∞: Given: An​=(8n)/(8n+1) Rewrite the general term…

Q: 4

A: Step 1: Provide the given graph of the derivative:  Step 2: Recall the concept of critical numbers…

Q: e ƒ(x)=—, given ƒ'(x)= €*(x−1), ƒ *(x) = e* (x² -2x+2) x² Analyze the function f(x) = i) Domain and…

A: The objective of this question is to analyze the function f(x) = e^(x)/x^2 in terms of its domain,…

Q: Use the limit process to find the area of the region between the graph of the function and the x-…

A: Step 1:​Region is bounded by y=−4x+5,[0,1] Area =∫01​(−4x+5)dx​Step 2:​Using Riemann…

Q: A circular plate with radius 7 m is submerged vertically in water as shown. Express the hydrostatic…

A: Step 1:Step 2: Step 3: Step 4:

Q: 19. The real number k lies between 0 and 1. The area of the quadrilateral formed by the lines y =…

A: The objective of the question is to find the area of the quadrilateral formed by the lines y = kx, y…

Q: Using the attached theorms, Solve dx/dt =10x-20y , dy/dt=8x-18y

A: solution to the given question is like this;first find eigen values and check they are real distinct…

Q: (a)How far from the ground is the balloon floating? Round intermediate values to four decimal…

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Q: Calculate and simplify the wedge product A. = 3dx1 ^ dx 2 + 9dx₁ / dx4, =-9dx2 dx3 + 5dx3 ^ dx4. ΦΛΕ…

A: f=(3.dx.1Λdx.2+9.dx.1Λdx.4)g=−9.dx2Λdx.3+5dx3Λdx4Now wedge product…

Q: find the derivitive ​N(t)equals=StartFraction 1400 Over 1 plus 23 e Superscript negative 0.85 t…

A:

Q: Use the square root method to solve the equation. y²-12=0 ○ A. 6 OB. ±2√3 OC. 2√3 OD. 144 K

A: The objective of this question is to solve the given quadratic equation using the square root…

Q: Use the integral test to determine if the series 6x-6 dx 3x²-6x+6 6n - 6 converges or diverges.…

A:

Q: Evaluate the integral by reversing the order of integration. With order reversed, sin(x²) dx dy…

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Q: I need you to answer question 1

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

Q: Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to…

A:

Q: Sketch the triangle with vertices at the orgin O, P=(5,4,0), and Q=(2,1,4), and compute its area…

A: Given:                      Origin O: (0,0,0)                     Point P: (5,4,0)…

Q: Hello, please answer for my practice test so I know if i'm solving correctly, thank you!

A: i.) Positive f'(x) means an increasing value of f(x), then, from the graph, these are at (-∞, 0) and…

Q: Approximate the area under the graph of f(x) = 0.05x4 - 3.24x² +80 over the interval [3,11] by…

A: Step 1:Given that f(x) = 0.05x4 - 3.24x* + 80 Step 2:the width of each sub-interval is…

Q: 2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution…

A: Please see the attached images for the solution.If there are queries, please do not hesitate to ask.…

Q: (7 and 8) Explain how to solve these question in detailed steps.

A: QUESTION 7: We're looking for where the function f(x) is concave up on the graph provided. A…

Q: A direction field for the differential equation y' = x cos Пy is shown. (a) Sketch the graphs of the…

A: a)To sketch the graph, take point (x, y(x)) i) y(0) =0Take point (0, 0)Analyze the field at point…

Q: At what points c does the conclusion of the Mean Value Theorem hold for f(x) = x³ on the interval [-…

A: Step 1: Step 2: Step 3: Step 4:

Q: 2 3/2 What is the value of √ff e(²² +3²+²²)³½³ dV, where B is the unit ball, x² + y² + z² < 1? 4 π…

A: Step 1:​I=∭B​e(x2+y2+z2)3/2dVB is the unit ball, x2+y2+z2≤1​Step 2:​Using spherical…

Q: Practice

A: Step 1:We need to write down the given vector in the form ai+bj1) &lt;-8, 4&gt;Compare this with…

Q: (5 and 6) Explain how to solve these question in detailed steps.

A: (3.) FalseA point of inflection occurs where the concavity of the function changes, not necessarily…

Q: 3 Determine the values of a, b, c and d so that f(x) = ax³ + bx² + cx +d has inflection at the…

A: We are given a cubic function f(x)=ax3+bx2+cx+dand we are given two points on the curve (0,0), and…

Q: Let E be the solid in the first octant bounded by the planes x = 1, y = 2, and z = 3 with density…

A: To find the mass of the solid E with the given density function  ρ((x,y,z)=1+x+yz , bounded by the…

Q: Find all points (if any) of horizontal and vertical tangency to the curve. x = 3 cos² (e), y = 8…

A: Step…

Q: Evaluate the given integral by changing to polar coordinates. 10xy dA, where D is the disk with…

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