y' = -x

Q: For each of the following functions, find a formula for f'(x): cot x (a) (10 points) f(x) = = х

A: Step 1:Solution- Step 2: Step 3: Step 4:

Q: Evaluate $3³ •3 (u+3) (u²+u−2) (u²+2u-3) du 21 2 9 12 52 -6 Previous Page Next Page Submit Quiz 0 of…

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Q: I am studying for a test I have tomorrow, this is one of the example problems that will be one the…

A: Problem 2(a): How to plot points on graph - For making graph you can use Desmos graphing calculator…

Q: Solve (a)

A: You have only asked to solve part (a), In order to find the required values we put the different…

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Q: Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten…

A: From the given binomial expression, we can identify the following:n=3 (the power of the…

Q: (9)

A: The problem is asking us to find the volume of the region enclosed by the surfaces defined by the…

Q: Question 9 (4 points) У х 1 2 3 Use three right-hand rectangles imposed on the graph of y = x2 + 1…

A: Step 1:Step 2: Step 3: Step 4:

Q: Please help me solve this integration question attched below.

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Q: Solve the following: a. If z = sin(5x + 3y) Find and dx dz ду b. If z=(3x+2y) (4x-5y) Find Oz dz and…

A: a. Given z=sin(5x+3y), find ∂x∂z​ and ∂y∂z​. Solution: z=sin(5x+3y) 1. Find ∂x∂z​:…

Q: My last digit of student number is 4 The equation (1) is in the first image.

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Q: 2 Find the second derivative of y = 1½ cos² x. Oy" = COS x 2 y" = COS X sin² x cos² - Oy" = sin² x =…

A: Q.Consider, y=21​cos2x Differentiate with respect to x. y′=21​dxd​(cos2x) Use formula:…

Q: Find the point - on the sphere (x - 4)² + y² + (z − 8)² = 1 nearest to the point (6, 0, 8).

A: To find the point on the sphere((x−4)2+y2+(z−8)2=1)that is nearest to the point ((6, 0, 8)), we'll…

Q: Q 9. Consider the region in the first quadrant that is enclosed by the functions y = x², y = x + 2,…

A: To find the volume of the region enclosed by the curves y=x2,y=x+2 , and  x = 0  when it is rotated…

Q: Given two vectors: A = 21+ 2j-3k B = -ĵ+2k Find two 1) |B| 2) AxB 3) A.B Find two of the value of…

A: A. Given:A=2i^+2j^​−3k^B=−j^​+2k^(1) To calculate the magnitude of B, take the square root of the…

Q: the graph below to determine the points at which the function fhave discontinuities. For each point,…

A: To determine the points of discontinuity from the graph and identify the conditions not satisfied in…

Q: Help with differentiating between positive infinity and negative infinity. I got it mixed up on as x…

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Q: Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten…

A: First, we need to identify the binomial and the term number. In this case, the binomial is (3c-2d)…

Q: Find fx and fy for f(x,y) = y In (x + 8y). || fy = y x+8y

A: Step 1: Step 2: Step 3: Step 4:

Q: Evaluate the given integral by making an appropriate change of variables. SL 7 x4y 7x-y R dA, where…

A: Step 1: Step 2:

Q: Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten…

A: The problem is asking us to find the 11th term of the binomial expansion of (2x + 3y)^4. However,…

Q: using the quadratic function: 3x^2+2xy+4y^2+5x+6y+7

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Q: 5. (12 points) Use the geometry or symmetry of integrals to evaluate the following definite…

A: Step 1:(a) The following formula of integration is known:∫a2−x2​dx=2x​a2−x2​+2a2​sin−1(ax​)+cwhere c…

Q: cos {arctan [sin (arccot x)]}. Evaluate the expression: x² +1 x+1 Vx² +2 x+1 x+2 +2 D

A: We evaluate the expression cos{arctan[sin(arccot(x))]} as follows:   Step 1: Evaluate…

Q: Find the arclength of a helix (i.e., one turn of the helix) given by r(t)=asinti+acost j+(√1-a²)t k…

A: To find the arc length of the helix given by the vector function:We need to compute the integral of…

Q: PLS HELP ASAP FOR ALL QUESTIONS ASKED

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Q: 2. Use Green's Theorem to find the flux of F(x, y) = (-y², xy) across the square with vertices…

A: Green's Theorem:The circulation of vector field F=<M,N>in a closed path and the flux of the…

Q: Let 2 = 2+3i and w = 5-i. Compute the following complex numbers (your answers should be in a + bi…

A: Step 1:Let's compute the given complex numbers in a+bi format for the following:(d): zwˉ(e): wz​(f):…

Q: Verify that the function is a solution of the differential equation on some interval, for any choice…

A: Given the differential equation y' = 2y and the function y = ce2x, let's verify if this function is…

Q: Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten…

A: The problem is asking us to find the 7th term of the binomial expansion of (5+y)^5. However, in a…

Q: If the vectors in the figure satisfy |u| = |v| = 1 and u+v+ w = 0, what is ❘w|? |W| = u W

A: The problem is asking for the magnitude of vector w given that the magnitudes of vectors u and v are…

Q: 1 lim x→π/2 tan x + х - π/2

A: To evaluate the limit: limx→2π​​(tanx+x−2π​1​) we need to analyze the behavior of both terms as x…

Q: O 0 208 3 Find the directional derivative of f(xy.z)=xyz at (214) through the direction of (1,2,2)…

A: First, we define the function f(x,y,z)=xyz and the point (2,1,4).

Q: Find B and T for the space curve below. r(t) = (3 sin 4t)i + (3 cos 4t)j + 5tk 12 cos 4t 12 sin 4t T…

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Q: Which of the following is the normal plane equation to the curve that is the intersection of both…

A: To determine the normal plane equation to the curve at the intersection of the two given surfaces at…

Q: ☐ ☐ 1. Use the Rectangular Approximation Method with 4 rectangles and using the midpoint of each…

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Q: Determine the derivatives of the pictured functions using only the definition of the derivative.…

A: To find the derivatives of the given functions using the definition of the derivative, we'll proceed…

Q: Help

A: Step 1:   Step 2: Step 3: Step 4:

Q: Please answer both questions!!

A: First, we need to substitute x = 3 into the function h(x) = x² - 3x + 6.h(3)=(3)2-3*3+6After…

Q: Can you evaluate and explain the steps of the following equation

A: ANSWER ​​

Q: QUESTION 9 [10 marks] A pentagon having vertices (0; 1), (2; 2), (4; 0), (2; -2) and (0-1) is…

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Q: 3. (10 points) Evaluate 1²++)dx

A: ```markdown3 . (10 points) Evaluate ∫12​(1/x2+1/x3)dx To solve  integral , we can split it into two…

Q: 3. Suppose a particle is being accelerated in three-dimensional space with the acceleration at time…

A: Given :a=(ax​,ay​,az​)=(t2−1,2t,t3+3t2). (a) Therefore,vx = ∫ ax dt= ∫ ( t2 - 1 ) dt= t3 / 3 - t +…

Q: Find all solutions to the following differential equation Y = √ /= Δ Δ Δ Δ Δ Δ Δ Δ Δ D

A: Solution-  To solve the differential equation  Y′=ty​​ , where  Y'  denotes dtdy​, we can proceed as…

Q: Help find a basis for the subspace spanned by the given vectors provided attach. Whats the dimension…

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Q: 2. (18 points) Compute the curvature (t) and the torsion r(t) of the following vector function: r(t)…

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Q: Can you evaluate and explain the steps of the following equation

A: The ILATE rule is a guideline for choosing which function to differentiate and which to integrate…

Q: Use the Law of Cosines to solve the triangle. (Let a = 11.6 ft and c = 12.9 ft. Round your answer…

A: Determine the givenB = 50.5°a = 11.6c = 12.9Using Law of Cosinesa² = b² + c² - 2bc cos Ab² = a² - c²…

Q: (1)

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

Q: 1% 11. + 9:1. ) العنوان Solle Anotsma For the Function f(x)=ex-e-x A. Find the inverse function. B…

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