Q: 4. (a) (i) Calculate (4 + 6i)².
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Q: 3- show that the diff. equ. is homogeneous and Salve it (2x +34) dx +(y-x)dy = a
A: In this question we have to solve the differential equation.
Q: 2) 2 s² (s²+4) Find L1 transformation. by using the properties of inverse Laplace
A: Given; L-12s2s2+4 As we know from the property of the inverse Laplace transformation.…
Q: 20. e ³.x (e²x + 1)² dx
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Q: Express the polar coordinates (2.) as Cartesian coordinates. (√3,1) (-√3,-1) (√3,-1)
A: Topic = Geometry
Q: II. Coefficients Linear in Two Variables 1. (6x-3y+2)dx-(2x-y-1)dy=0 2. (9x-4y+4)dx-(2x-y+1)dy=0
A: We can solve the given differential equation.
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Q: Below is the graph of a polynomial function with real coefficients. All local extrema of the…
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Q: 60. خدا x4 - 1 x5 − 5x + 1 dx
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Q: 1. Evaluate the given integral Q. /9-22 Q= - 1²³ 1²/³3 (№²=³² 0 0 0 Your answer (y - x) dx dy dz
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Q: A tank in the shape of a right circular cone is full of water. If the height of the tank is 10 feet…
A: answer is in next step .please give a like !!!
Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…
A: Solution is here
Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…
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Q: L 4s 2 4s² + 1
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Q: One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How long is the…
A: Given problem:- One angle of a rhombus measures 104°, and the shorter diagonal is 8 inches long. How…
Q: √9-2³ x² + y² dy dr into a double integral in polar form. TITE f(x, y, z)dV, where f(x, y, z) = x²yz…
A: We can set up the triple integral.
Q: dy Consider the differential equation - 2r da (A) At the point (1, -1), the direction field has a…
A: This question can be solved using the concept of direction field.
Q: When a homeowner has a 25-year variable-rate mortgage loan, the monthly payment R is a function of…
A: We have to interpret the above term.
Q: Can you state the order and tell if it is linear or non linear please?
A: Given.
Q: a. (x-²)(x + xy) = 4 b. √√√xy=x-2y at (4,1) c. cos(x² + y²) = y²sinx² d. y² = ln(x² + y²)
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Q: 57. If f(x) = (A) (0,00) fen²x + (n (ex) (n² (ex) dx; f(1) = 0 and g(x) = 1 -f(x). Then the domain…
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Q: 45. I= (A) 2 (C) 3 +c, then f '(1) is equal to - 14 2 2-x ปี = √/²=Xx dx = ²√ √/²² (x) + c (B) 1…
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Q: Suppose ƒ be a function such that fo f(x) dx = 3. Then ² t² f(t³)dt: 9 [Select] Select] 103
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Q: (10-6y+e-3) dx - 2dy 2dy = 0
A: Given.
Q: Find the ordinary interest on a loan of $850 at 11% annually made on February 10 and due May 31
A: Given, P= $850 I=11% T=(May 31) -(Feb 10) =110 days,
Q: Find the area of the region in the first quadrant bounded by the curve y = √√x² + 5, the x-axis and…
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Q: 18. Evaluate § (9 − x² − y²) dV, where H is the solid hemi- sphere x² + y² + z² ≤ 9, z ≥ 0.
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Q: An investor has p1,000 income from bonds bearing 4% and 5% if the amount at 4% and 5% where…
A: Topic:- algebra
Q: 3. Evaluate 5 sin rdr
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Q: 15. Find the inverse of matrix A. A = 38 26
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Q: Use the midpoint approximation to approximate the area under the curve of f(x) = + +2 on the…
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Q: Evaluate the integral. (Use C for the constant of integration.) 5 [ 8x 8x √√x + c dx
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Q: 21 The equation x2 + y2 = 5 has _______. a center at (5, 5) and a radius with a length of five…
A: We know that the equation of circle is: (x-h)2+(y-k)2=r2 where, (h,k)- centre of circler-radius of…
Q: Problem 2. Consider the lines 1(t) and r(s) defined below. l(t) = t+ r(s) = 8+ Your buddy Ron…
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Q: Find the vectors T, N, and B at the given point. r(t) ) =(2², ²32²³, t), (4,- 15, -2) N = B =
A: This question can be solved by applying the formula of T,N,B
Q: = 3. Let R be the region bounded by y = √x and y 2. Find the volume of the solid generated when R is…
A: Washer Method : Suppose that the f(x) and g(x) are continuous and non-negative function on a,b and…
Q: 3. dy dx + y = 2xy²e²
A:
Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1
A: To solve the given integral
Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)
A: Given function h(x)=4xx(x2-9)
Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…
A: Topic:- application of integration
Q: Q7. A cellphone transmitter is placed at the top of a vertical tower. Cables are used to help…
A: This question can be solved using the concept of height and distance.
Q: f(t) = In Itsinx 1-sin x g(x) = x sin ¹3x + √1-9x² G(x) = x In (9 + x²) + 6 tan-¹ (-)-2x
A: Note: Since, in the first function there is a typing error "f(t)", it should be "f(x)" because it is…
Q: What is the derivative of: ex / x2
A: The given function is: fx=exx2 As we know that; The Power law: ddxxn=nxn-1 The Quotient rule:…
Q: 5. Find the half range cosine Fourier Series for the function.. X OCX < Z ..£.(x)..= TT-X <x<T -ans:…
A: Given
Q: CA d 15. (4D²+20D +125)0=0, where D=- dr de = 2.5. whe 0,0=3 and
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Q: (-1)kk Determine whether the series converges absolutely, converges conditionally, or diverges Σk=1…
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Q: Can u do 6 and 7 . I will rate you thank you
A: step 2 complete solution
Q: R is the region bounded by the functions f(x) = and g(x) = -4+. Find the area A of R. Enter an exact…
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Q: Find the following, using no tables for any non-basic integrals. [31evoz d Did you remember your +C?…
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Q: The volume of the solid whose base is region in the xy-plane that is bounded by the parabola y = 12…
A: Concept: To find the limit of x put equate the values of y The volume of the solid in the x-y plane…
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